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Review

Inertial Measurement Units (IMUs) in Mobile Robots over the Last Five Years: A Review

by
Gerasimos G. Samatas
1 and
Theodore P. Pachidis
2,*
1
MLV Research Group, Computer Science Department, International Hellenic University, 65404 Kavala, Greece
2
Human–Machines Interaction (Humain) Lab, Computer Science Department, International Hellenic University, 65404 Kavala, Greece
*
Author to whom correspondence should be addressed.
Designs 2022, 6(1), 17; https://doi.org/10.3390/designs6010017
Submission received: 19 January 2022 / Revised: 11 February 2022 / Accepted: 14 February 2022 / Published: 16 February 2022

Abstract

:
Robots and especially mobile robots have experienced rapid growth, making them part of everyday life. An inertial measurement unit (IMU), which is a set of sensors, plays an important role in mobile robots’ navigation. Data collected by the IMU sensors on a robot are properly converted and useful information is calculated concerning, i.e., position, orientation, and acceleration. With the advancement of technology, IMUs have been transformed from large and complex devices into small, flexible, and efficient ones. The main sensors included in an IMU are the gyroscope, the accelerometer, and the magnetometer. Additionally, there are other sensors such as a barometer, a temperature sensor, a pressure sensor, or even an attitude sensor. The components that an IMU consists of are many and the main differences concern the technology they integrate, the designer purpose, and the specifications set by the manufacturer. The purpose of this review is a comparative presentation of 42 IMU models from 7 different manufacturers over the last five years comparing main features such as structure details, connectivity, and communication protocols. Moreover, statistical results are quantitatively and qualitatively presented providing a future user the possibility to select the proper IMU.

1. Introduction

Nowadays, the word robot is very familiar to people. A major category of robots is mobile robots. Mobile robots can navigate using various sensors, software, properly developed and intelligent algorithms. Robots navigation is a complex process and to achieve it, many challenges must be overcome.
For the successful navigation of a robot, many open problems exist. These problems concern localization, mapping, simultaneous localization and mapping, path planning, obstacle avoidance. For localization, different sensors and methods have been developed for more accurate positioning [1]. There are different techniques for calculating the robot location, in a relative or absolute way. Techniques that calculate robot location in an absolute way are based on widespread systems. One well-known example is the Global Position System (GPS), which determines the current position with the assistance of satellites [2]. Techniques that relatively calculate robot location take into account previous states using various sensors such as the Inertial Measurement Unit (IMU) [3].
An IMU is an electronic device based on a set of sensors that takes into account data generated by them. Basic sensors are accelerometers, gyroscopes, or even magnetometers. The data generated—depending on the type of IMU—concern acceleration, angular velocity, as well as orientation in three directions respectively. Each sensor takes into account a reference axis making it mandatory to have one sensor for each lateral, longitudinal, and vertical axis for each accelerometer, gyroscope, and magnetometer, part of the device. Thus, there is a total output of nine different parameters (9 DOF) [4].
Historically, inertial measurement units have made evolutionary leaps after many years of research. Based on the acquisition method of the data, their development is divided into three stages. At first, there are the mechanical gyroscopes from 1940 to 1960, then the strap down gyroscopes (placed along with the object) with a time frame from 1960 to 1980. From 1980 until today there are the micro electro-mechanical gyroscopes. The transition to micro electro-mechanical technologies was considered very important, as they moved from large and expensive gyroscopes to devices smaller in size, less weight, and reduced cost while increasing their reliability. Along with the gyroscopes, small accelerometers and magnetometers have been also created and today they are manufactured very small, reliable, and cost-effective IMUs known as Micro Electro Mechanical Systems (MEMS) [5].
This paper presents a comparative review on IMUs in the past five years and describes the models, features, structure, connectivity, and their communication protocols. Moreover, deploys comparative presentation on commercial IMU products and presents usage statistics on commercial and research mobile robots. The novelty of this work is to provide easy access to the list of 42 IMU products, with the above characteristics, for future commercial or research projects with them.
The next section refers to the literature review and in particular presents the literature selection protocol and the way the research was executed. The third one refers to the description of the selected models. More specific presents the 7 different manufacturers and two Tables (Table 1 and Table 2) with features of 42 IMUs. The comparative presentation of model’s features and the related analysis takes place at the fourth section. The fifth section provides the mobile robots usage statistics. Finally, at last section, the conclusions of this work are presented.

2. Literature Report

Literature report is a scientific method, widely used to review various topics of interest. It is secondary research, as it takes into account other scientific researches related to the same subject. After collecting the data, their evaluation follows and finally, we end up with the analysis in a documented way [6].

2.1. Bibliography Selection Protocol

  • Research Question
    Q1: What are the IMU models used in the last 5 years?
    Q2: What are the properties, main features, structure, response speed, connectivity and protocols of IMUs over the last 5 years?
    Q3: What are the comparative differences in their characteristics?
    Q4: What are the most used IMUs?
  • Research Database
To extract data necessary, the research was done in many databases from the Google Scholar website which has 90% of the scientific publications written in English [7]. Harzing’s Publish or Perish (HPP) (http://www.harzing.com (accessed on 13 November 2020)) program was used to group the data and export it in processable form.
  • Rejection Criteria
The following criteria were set, with criterion S1 occurring during the execution of the research.
  • K1: Publications must be written between the year 2016 and 2020 i.e., the last five years.
  • K2: Citations per year must be more than 4.
  • K3: Citations must be over 20.
  • Quality Criterion
    K4: The publication should refer to mobile robots.
  • Acceptance Criterion
    K5: Publications should refer the company or IMU model used in their research.
  • Special Criterion
    S1: After the K1 through K5 application the number of publications per publisher should be at least 2.

2.2. Research Execution

Based on the above criteria and questions a query was designed in the HPP database. A time period from 2016 to 2020 was chosen. The title should include the word “Robot”. With this title, robots are secured as the core element of the experiment. Then the keywords selected were: (IMU OR Inertial Measurement Unit) AND Mobile Robot. With the OR we ensure that no matter how the word is abbreviated or paraphrased it will appear. With AND we make it mandatory for the publication to be in the realm of mobile robots.
The execution of the above conditions in HPP took place on 13 November 2020, with a limit of 1000 results. At the end of the search, the data was integrated into a worksheet, and filters were applied to group them. In total we had 995 publications so K2 was implemented and 263 publications emerged. The average of references in the total data was 20.7, so K3 was applied and resulted in 65 publications. These were analyzed to apply the K5 criterion. There has been a phenomenon of some publications using the IMU to cite it as material but avoiding specifying the model. This resulted in 50 publications and 23 different IMU manufacturers. Therefore, it was deemed appropriate to include the S1 criterion so that the number of publications is at least 2. The final results of 36 publications are presented in Figure 1. Lastly, after applying the above-mentioned criteria the research showed the 7 IMU manufacturers that were mentioned the most in the last five years. Then the models of each manufacturer were researched from its website and any model that had at least one reference to a publication from 2016 to 2020 were analyzed in Table 1 and Table 2 with their features. The final outcome was 42 models that have been used in recent years in mobile robots by the 7 selected manufacturers.
Table 1. Features of IMU’s models. (1/2) ([Gyr] = Gyroscope, [Acc] = Accelerometer, [Mag] = Magnetometer, [Bar] = Barometer, [TS] = Temperature Sensor, [PS] = Pressure Sensor, [AS] = Attitude Sensor.]).
Table 1. Features of IMU’s models. (1/2) ([Gyr] = Gyroscope, [Acc] = Accelerometer, [Mag] = Magnetometer, [Bar] = Barometer, [TS] = Temperature Sensor, [PS] = Pressure Sensor, [AS] = Attitude Sensor.]).
ManufacturerModelVoltageOutput Data Rate (HZ)Gyroscope Range (°/s)Accelerometer Range (g)Magnetometer Range (G)Power Consumption (mW)Structure
XsensMti-12.19–3.6≤2000±2000±16-<100Gyr, Acc,
Mti-104.5–3.4≤2000±450±20±8400–550Gyr, Acc, Mag
Mti-1004.5–3.4≤2000±450±20±8450–950Gyr, Acc, Mag
Mti-6004.5–24400–2000±450±20±8450–950Gyr, Acc, Mag, Bar
InvenSenseMPU-91502.4–3.58000±250, ±500, ±1000, ±2000±2, ±4, ±8, ±16±120.24–0.35Gyr, Acc, Mag
MPU-92502.4–3.58000±250, ±500, ±1000, ±2000±2, ±4, ±8, ±16±481.8–2.62Gyr, Acc, Mag
MPU-60502.4–3.51000±250, ±500, ±1000, ±2000±2, ±4, ±8, ±16-9.5–13Gyr, Acc
ICM-209481.71–1.959000±250, ±500, ±1000, ±2000±2, ±4, ±8, ±16±492.5Gyr, Acc, Mag
ICM-426051.7–3.68000±125, ±250, ±500, ±1000, ±2000 ±2, ±4, ±8, ±16-1.1–2.3Gyr, Acc
ICM-206021.7–3.68000±250, ±500, ±1000, ±2000±2, ±4, ±8, ±16-1.1–2.3Gyr, Acc
ITG-30502.1–3.6-±250, ±500, ±1000, ±2000--12.4–21.2Gyr
ITG-32002.1–3.68000±2000--13.65–23.4Gyr
MPU-30502.1–3.63.9–8000±250, ±500, ±1000, ±2000--13Gyr
MPU-33002.37–3.463.9–8000±225, ±450--13Gyr
ICM-20608-G1.71–3.454–8000±250, ±500, ±1000, ±2000±2, ±4, ±8, ±16--Gyr, Acc
Microstrain3DM-GX5-104–361–1000±75, ±150, ±300, ±900±2, ±4, ±8, ±20, ± 40-300Gyr, Acc, TS
3DM-CX5-103.2–5.21–1000±75, ±150, ±300 ±900±2, ±4, ±8, ±20, ±40-300Gyr, Acc, TS
3DM-CV5-103.2–5.21–1000±250, ±500, ±1000±2, ±4, ±8-360Gyr, Acc, TS
PixhawkPixhawk 44.75–5.2-±250, ±500, ±1000, ±2000±2, ±4, ±8, ±16±16 (x,y), 25y360Gyr, Acc, Mag
Pixhawk 3 Pro3.3-±250, ±500, ±1000, ±2000±2, ±4, ±8, ±16±4, ±8, ±12, ±16825Gyr, Acc, Mag, Bar
Pixracer--±250, ±500, ±1000, ±2000±2, ±4, ±8, ±16±8-Gyr, Acc, Mag, Bar
Pixhawk--±245, ±500, ±2000±2, ±4, ±8, ±16±2, ±4, ±8, ±12-Gyr, Acc, Mag, Bar
ADISADIS164753–3.62000±125, ±450, ±2000±8-132–158Gyr, Acc
ADIS164953–3.64500±125, ±500, ±2000±8-267–320Gyr, Acc
ADIS164653–3.62000±125, ±500, ±2000±8-450–950Gyr, Acc
ADIS164903–3.64250±100±8-267–320Gyr, Acc
ADIS164883.15–3.45819±450±18±2.5240–262Gyr, Acc, Mag, Bar
ADIS164453.15–3.45820±62, ±125, ±250±5-1.8–2.62Gyr, Acc, Mag, Bar
ADIS164483.15–3.45819±250, ±500, ±1000±18±1.9239–262Gyr, Acc, Mag, Bar
ADIS164803–3.62460±450±10±2.5841Gyr, Acc, Mag, PS
ADIS164853–3.62460±450±5-650Gyr, Acc
ADIS163624.75–5.25819.2±75, ±150 ±300±1.7-245Gyr, Acc
ADIS163654.75–5.25819.2±75, ±150 ±300±18-120Gyr, Acc
SparkFunVR IMU Breakout—BNO0801.65–3.6-±2000±8-45Gyr, Acc, Mag
IMU Breakout—LSM9DS13.3-±245, ±500, ±2000±2, ±4, ±8, ±16±4, ±8, ±12, ±1614.85Gyr, Acc, Mag
SparkFun MPU-60502.4–3.51000±250, ±500, ±1000, ±2000±2, ±4, ±8, ±16-9.5–13Gyr, Acc
ESP32 Thing
Motion Shield
3.380±245, ±500, ±2000±2, ±4, ±8, ±16±4, ±8, ±12, ±1613.2Gyr, Acc, Mag
SparkFun LSM6DS31.71–3.61600±125, ±245, ±500, ±1000, ±2000±2, ±4, ±8, ±16±2, ±4, ±8, ±12, ±162.1–4.5Gyr, Acc
VectorNavVN-1003.2–3.5 (WOC) 12–34 (WC) 800±2000±16±2.5185 (WOC), 200 (WC)Gyr, Acc, Mag, PS
VN-1103.2–3.5 (WOC) 12–34 (WC) 800±490±15±2.5<1000 (WOC), <2000 (WC)Gyr, Acc, Mag, PS, AS
VN-2003.2–5.5 (WOC) 3.3–17 (WC) 800±2000±16-445 (WOC), 500 (WC)Gyr, Acc, PS
VN-3003.2–5.5 (WOC) 3.3–14 (WC) 400±2000±16±2.5<1250 (WOC), 1250 (WC)Gyr, Acc, PS
Table 2. Features of IMU’s models (2/2).
Table 2. Features of IMU’s models (2/2).
ManufacturerModelGyroscope
(Nonlinearity, Sensitivity, Noise Density)
Accelerometer
(Nonlinearity, Sensitivity, Noise Density)
Weight (g)Dimensions (mm)Connectivity ProtocolsSoftwareCost (€)
XsensMti-1±0.1% fs,
0.001°/s/g,
0.007°/s/√Hz
±0.5% fs,
-,
0.12 mg/√Hz
<112.1 × 12.1 × 2.55I²C, SPI, UART, XbusMT Software Suite135
Mti-10±0.03% fs,
0.006°/s/g,
0.03°/s/√Hz
±0.1% fs,
-,
0.06 mg/√Hz
11 (WOC)
52 (WC)
37 × 33 × 12 (WOC)
57 × 42 × 23.5 (WC)
RS232, RS485, RS422, UART, USB, Xbus800
Mti-100±0.01% fs,
0.003°/s/g,
0.01°/s/√Hz
±0.1% fs,
-,
0.06 mg/√Hz
11 (WOC)
52 (WC)
37 × 33 × 12 (WOC)
57 × 42 × 23.5 (WC)
RS232, RS485, RS422, UART, USB, Xbus1470
Mti-600±0.1% fs,
0.001°/s/g,
0.007°/s/√Hz
±0.1% fs,
-,
0.06 mg/√Hz
11 (WOC)
52 (WC)
37 × 33 × 12 (WOC)
57 × 42 × 23.5 (WC)
CAN, RS232, UART, Xbus450
InvenSenseMPU-9150±0.2% fs,
0.0076°/s/LSB,
0.005°/s/√Hz
±0.5% fs,
0.061 mg/LSB,
0.4 mg/√Hz
-4 × 4 × 1I²CSmartRobotics17
MPU-9250±0.1% fs,
0.0076°/s/LSB,
0.01°/s/√Hz
±0.5% fs,
0.061 mg/LSB,
0.3 mg/√Hz
-3 × 3 × 1I²C, SPI11.5
MPU-6050±0.2% fs,
0.0076°/s/LSB,
0.005°/s/√Hz
±0.5% fs,
0.061 mg/LSB,
0.4 mg/√Hz
-4 × 4 × 0.9I²C5
ICM-20948±0.1% fs,
0.0076°/s/LSB,
0.015°/s/√Hz
±0.5% fs,
0.061 mg/LSB,
0.23 mg/√Hz
-3 × 3 × 1I²C, SPI13.5
ICM-42605±0.1% fs,
0.061°/s/LSB,
0.0038°/s/√Hz
±0.1% fs,
0.488 mg/LSB,
0.07 mg/√Hz
-2.5 × 3 × 0.91I²C, SPI6
ICM-20602±0.1% fs,
0.0076°/s/LSB,
0.004°/s/√Hz
±0.3% fs,
0.061 mg/LSB,
0.1 mg/√Hz
-3 × 3 × 0.75I²C, SPI5
ITG-3050±0.2% fs, 0.0076 o/s/LSB,
0.001 o/s /√Hz
--4 × 4 × 0.9I²C2.5
ITG-3200±0.1% fs, 6.95 × 10−5°/s/LSB,
0.003°/s/√Hz
--4 × 4 × 0.9I²C10.5
MPU-3050±0.2% fs, 0.0076°/s/LSB,
0.01°/s/√Hz
--4 × 4 × 0.9I²C7
MPU-3300±0.2% fs, 0.0068°/s/LSB,
0.005°/s/√Hz
--4 × 4 × 0.9I²C, SPI35
ICM-20608-G±0.1% fs,
0.0076°/s/LSB,
0.008°/s/√Hz
±0.5% fs,
0.061 mg/LSB,
0.25 mg/√Hz
-3 × 3 × 0.75I²C, SPI6.5
Microstrain3DM-GX5-10±0.02% fs,
-,
0.005°/s /√Hz
±0.02% fs,
-,
0.02 mg/√Hz
16.536 × 36.6 × 11RS232, LXRS ProtocolSensorConnect710
3DM-CX5-10±0.02% fs,
-,
0.005°/s/√Hz
±0.02% fs,
-,
0.02 mg/√Hz
838 × 24 × 9.7RS232, LXRS Protocol710
3DM-CV5-10±0.06% fs,
-,
0.0075°/s/√Hz
±0.04% fs,
-,
0.1 mg/√Hz
1138 × 24 × 9.7TTL serial, LXRS Protocol710
PixhawkPixhawk 4±0.1% fs,
0.0076°/s/LSB,
0.006°/s/√Hz
±0.5% fs,
0.61 mg/LSB,
0.15 mg/√Hz
15.844 × 84 × 12PWM, SBUS, I²C, SPI, CANOpen Source Autopilot230
Pixhawk 3 Pro±0.1% fs,
0.0076°/s/LSB,
0.004°/s /√Hz
±0.3% fs,
0.061 mg/LSB,
0.1 mg/√Hz
4571 × 49 × 23PWM, SBUS, I²C, SPI, SUMD, PPM260
Pixracer±0.1% fs,
0.0076°/s/LSB,
0.008°/s/√Hz
±0.5% fs,
0.061 mg/LSB,
0.25 mg/√Hz
10.536 × 36UART, USB, PWM, SBUS, I²C, SPI, JTAG, PPM, ST24265
Pixhawk±0.2% fs,
0.0076°/s/LSB,
0.005°/s/√Hz
±0.5% fs,
0.061 mg/LSB,
0.4 mg/√Hz
3850 × 15.5 × 81.5UART, PWM, SBUS, I²C, SPI, PPM, USB, ST24, SUMD230
Analog DevisesADIS16475±0.2% fs,
0.00625°/s/LSB,
0.003°/s /√Hz rms
±0.25% fs,
3.8 × 10−6 mg/LSB,
0.023 mg/√Hz rms
1.311 × 15 × 11SPICoolVision SDK860
ADIS16495±0.2% fs,
9.53 × 10−8°/s/LSB,
0.002°/s/√Hz rms
±0.25% fs,
3.8 × 10−6 mg/LSB,
0.017 mg/√Hz rms
4247 × 44 × 14SPI2500
ADIS16465±0.2% fs,
0.00625°/s/LSB,
0.002°/s/√Hz rms
±0.25% fs,
3.8 × 10−6 mg/LSB,
0.023 mg/√Hz rms
-22.4 × 22.4 × 9SPI630
ADIS16490±0.3% fs,
7.63 × 10−8°/s/LSB,
0.002°/s/√Hz rms
±0.1% fs,
7.63 × 10−6 mg/LSB,
0.016 mg/√Hz rms
4247 × 44 × 14SPI3170
ADIS16488±0.01% fs,
3.052 × 10−7°/s/LSB,
0.0059°/s/√Hz rms
±0.1% fs,
1.221 × 10−5 mg/LSB,
0.063 mg/√Hz rms
-24.1 × 37.7 × 10.8SPI1800
ADIS16445±0.1% fs,
0.01°/s/LSB,
0.011°/s/√Hz rms
±0.2% fs,
0.25 mg/LSB,
0.105 mg/√Hz rms
-24.1 × 37.7 × 10.8SPI550
ADIS16448±0.1% fs,
0.04°/s/LSB,
0.0135°/s/√Hz rms
±0.2% fs,
0.833 mg/LSB,
0.23 mg/√Hz rms
-24.1 × 37.7 × 10.8SPI650
ADIS16480±0.01% fs,
3.052 × 10−7°/s/LSB,
0.0066°/s/√Hz rms
±0.1% fs,
1.221x10−6 mg/LSB,
0.067 mg/√Hz rms
4847 × 44 × 14SPI2960
ADIS16485±0.01% fs,
3.052 × 10−7°/s/LSB,
0.0066°/s/√Hz rms
±0.1% fs,
3.815x10−5 mg/LSB,
0.055 mg/√Hz rms
4847 × 44 × 14SPI1600
ADIS16362±0.1% fs,
0.05°/s/LSB,
0.044°/s/√Hz rms
±0.1% fs,
0.333 mg/LSB,
0.23 mg/√Hz rms
1623 × 23 × 23SPI460
ADIS16365±0.1% fs,
0.05°/s/LSB,
0.044°/s/√Hz rms
±0.1% fs,
0.333 mg/LSB,
0.5 mg/√Hz rms
1623 × 23 × 23SPI605
SparkFunVR IMU Breakout—BNO080±0.05% fs,
0.0625°/s/LSB,
-
±0.5% fs,
1 mg/LSB,
0.19 mg/√Hz
-26 × 31.2UART, I²C, SPI, SHTPArduino IDE30
IMU Breakout—LSM9DS1-,
0.00875 o/s/LSB,
-
-,
0.061 mg/LSB,
-
-23 × 23UART, I²C, SPI, SHTP14
SparkFun MPU-6050±0.2% fs,
0.0076°/s/LSB,
0.005°/s/√Hz
±0.5% fs,
0.061 mg/LSB,
0.4 mg/√Hz
-25.5 × 15.2 × 2.48I²C25
ESP32 Thing Motion Shield-,
0.00875°/s/LSB,
-
-,
0.061 mg/LSB,
-
--SPI, I²C, microSD20
SparkFun LSM6DS3-,
-,
0.007°/s/√Hz
-,
0.061 mg/LSB,
0.09 mg/√Hz
-2.5 × 3 × 0.83SPI, I²C10
VectorNavVN-100-,
-,
0.0035°/s/√Hz
-,
-,
0.14 mg/√Hz rms
3.5 (WOC)
15 (WC)
24 × 22 × 3 (WOC)
36 × 33 × 9(WC)
TTL serial, SPI (WOC), RS-232 (WC)VectorNav Control Center700
VN-110-,
-,
0.0138°/s/√Hz
-,
-,
0.04 mg/√Hz rms
12 (WOC)
125 (WC)
31 × 31 × 11(WOC)
56 × 56 × 23(WC)
Serial TTL (WOC), RS-422 (WC)-
VN-200-,
-,
0.0035°/s/√Hz
-,
-,
0.14 mg/√Hz rms
4 (WOC)
16 (WC)
24 × 22 × 3(WOC)
36 × 33 × 9.5(WC)
TTL serial, SPI (WOC), RS-232 (WC)2300
VN-300-,
-,
0.0035°/s/√Hz
-,
-,
<0.14 mg/√Hz rms
4 (WOC)
16 (WC)
24 × 22 × 3(WOC)
45 × 44 × 11(WC)
TTL serial, SPI (WOC), RS-232 (WC)-

3. IMU Models Description

The result shows 7 different IMU manufacturers and 42 IMU models. This section has two parts. The first one is the description of the IMU manufacturers and the second is the two Tables with the entire models, features, structure, cost, connectivity, and their communication protocols grouped by manufacturer.

3.1. Manufacturers

The first company on the list was Xsens (https://www.xsens.com/ (accessed on 13 November 2020)) with 9 papers and 4 different models [8,9,10,11,12,13,14,15,16]. The company was founded in 2000 in The Netherlands and specializes in the creation of motion tracking sensors. For this technology, it has created its own IMU sensors. The next company was Invensense (https://invensense.tdk.com/ (accessed on 13 November 2020)) with 7 reports and 11 models respectively [17,18,19,20,21,22,23]. The company based in California was founded in 2003 and specializes in integrated circuits with integrated sensors. Microstrain (https://www.microstrain.com/ (accessed on 13 November 2020)) is the next manufacturer with 7 papers and 6 models [24,25,26,27,28,29,30]. The company was founded in the USA in 1987 and produces sensors for industry and research.
Furthermore, the Pixhawk (PX4) was the next manufacturer. It is an open-source system used primarily for flying robots as all its functions are geared towards them. The company doesn’t manufacture IMUs but assembles components. PX4 had 4 publications and one model per publication 4 in total [31,32,33,34]. Fifth in order was VectorNav (https://www.vectornav.com/ (accessed on 13 November 2020)) with 4 publications and 4 models also [35,36,37,38]. The company was founded in 2008 in the USA and deals mainly with IMU systems for aerial robots. Next was Sparkfun (https://www.sparkfun.com/ (accessed on 13 November 2020)), a retail company founded in 2003 and based in the USA. It also manufactures, among other things, IMUs by integrating individual components from third parties and presented under the company name and has 3 references for 4 models [39,40,41]. The last company on the list was Analog Devices (ADIS) (https://www.analog.com/ (accessed on 13 November 2020)) with 2 publications [42,43]. Founded in 1965 and specializes in designing and manufacturing precision electronic equipment including IMUs. The models analyzed were 11 in total.

3.2. IMU Features Tables

This section contains IMUs with features (Table 1 and Table 2) extracted from the official website of manufacturers described in Section 3.1. Table 1 includes the input voltage, output data rate, gyroscope—accelerometer—magnetometer range, power consumption, and structure. Table 2 includes three basic features (nonlinearity, sensitivity and noise density) of the two main sensors of each IMU (gyroscope and accelerometer). It includes also the weight, dimensions, connectivity protocols, supporting software, and cost of IMUs. The cost feature in Table 2 was calculated in € with fixed exchange rates (1€ = 0.84 £ = 1.12$). Also, response speed and operational temperature range were extracted but the importance of these features was low. At first, only 6 of the 42 models (14%) had response speed data. The Mti-series had the faster response speed (2 ms) and the SparkFun LSM9DS1 and BNO080 had the slower one (6.6 ms). The operating temperature had only two values, 30 models had operating temperature from −40 °C to +85 °C, which indicates that they are categorized as an industrial range. The ADIS (Analog Devises) models (11 in total) had from −40 °C to 105 °C. Furthermore, ADIS, because of the aforementioned difference at the maximum range (20 °C), has categorized their products as AEC-Q100 Level 2, which corresponds to a higher grade than the industrial range.

4. Features Comparative Presentation and Analysis

First feature examined was the input voltage. In case where there was a range of values, the average value was calculated to easily compare the results and in models with two case options (case and without case) the input voltage without a case was chosen. The Mti-10 and Mti-100 models had the highest input voltage, 21.5 Volts. The lower voltage, 2.6 Volts belongs to the ICM-20608-G and SparkFun VR IMU Breakout. The 77.5% of models had a voltage less than or equal to 5 Volts (Figure 2).
Most of the models had output data rate below 8000 Hz (26 models, 72.2%). The ESP32 Thing Motion Shield model of SparkFun had the lower value at 80 Hz. Among the others, 9 models (25%), had exactly 8000 Hz. Finally, the ICM-20948 was the only one with 9000 Hz (Figure 3).
To compare the power consumption in mW, in some cases, values have been converted properly. Also, in cases with a range of values, the maximum value was selected. It is found that the highest consumption was 2000 mW of the Vn-110 model and the lowest one was 0.35 mW of MPU-9150.
The measurement range of sensors (gyroscope, accelerometer, and magnetometer) is properly selected according to the measurements required. Some models had more than one range of values. Unnecessary measurements create problems in data transmission. The gyroscope measures angular velocity in °/s (±). The lowest value was 15.625°/s (±) at the ICM-42605 model. The highest value was 2000°/s (±). The 62% of the IMUs examined had this value at their highest range. Also, 38% have at least 4 range options (Figure 4). The accelerometer measures acceleration in g (±) where g is the acceleration of gravity. The lowest value was 1.7 g at the ADIS16362 model, and the highest was 40 g at the 3DM-GX5-10 and 3DM-CX5-10 models. 50% of all models had the highest range value 16g and the lowest 2 g (Figure 5). Finally, the magnetometer’s measurement unit is G (±) that is Gauss. Some of the data needed to be converted from μT to G. The lowest value was 1.9 G and belonged to the ADIS16448 model while the highest values were 49 G and corresponded to the ICM-20948 model. Also, 75% had up to 3 different ranges (Figure 6).
In Table 2 data from manufacturers’ datasheets for nonlinearity, sensitivity, and noise density of the two main sensors of each IMU (gyroscope and accelerometer) are provided. Features as accuracy and resolution are not systematically provided in the manufacturers’ datasheets. However, the accuracy is inversely proportional to the sensitivity and takes into account the measurement errors due to the noise. Sensors calibration is required to remove inaccuracies stemming from manufacturing imperfections. Sensors’ resolution can be calculated from noise density for a specific bandwidth. The nonlinearity concerns the systematic deviation from the straight line that defines the nominal input-output relationship. It is typically expressed as a percentage of scale factor (% fs), where fs stand for full scale. The minimum value of ±0.01% fs was found for Mti-100, ADIS16480, ADIS16485, and ADIS16488 IMUs, while the maximum one was ±0.3% fs for ADIS16490 IMU. Sensitivity expresses the ratio of change in input to change in the output signal. Sensitivity units are typically expressed in °/s/g and °/s/LSB for gyroscopes and in mV/g for analog-output accelerometers, LSB/g, or mg/LSB for digital-output accelerometers. The minimum sensitivity values for gyroscopes, 0.001°/s/g, and 7.63 × 10−8°/s/LSB were found in Mti-1 and ADIS16490 IMUs respectively. The maximum sensitivity value has the Breakout—BNO080 IMU (0.0625°/s/LSB). For accelerometers, the range of sensitivity values was between 1.221 × 10−6 mg/LSB (ADIS16480 IMU), and 1 mg/LSB (Breakout—BNO080 IMU). The more common measure of noise is noise density (power spectral density) which provides the noise divided by the square root of the sampling rate. Noise density units are in °/s/√Hz or °/s/√Hz rms for gyroscopes, and in mg/√Hz or mg/√Hz rms for accelerometers. The range of noise density values for gyroscopes presented in Table 2 is from 0.002°/s/√Hz rms (ADIS16490, ADIS16495, and ADIS16465) to 0.044°/s/√Hz rms (ADIS16362, and ADIS16365). Minimum noise density values for accelerometers were 0.02 mg/√Hz (3DM-GX5-10, 3DM-CX5-10), and 0.016 mg/√Hz rms, for ADIS16490 IMUs. The maximum noise density is presented in ADIS16365 IMU (0.5 mg/√Hz rms).
There are several communication protocols and connectivity methods referred to models specifications. In summary, different models may have some of the following protocol-connection methods: I²C, SPI, UART, Xbus, RS232, RS485, RS422, USB, CAN, I3CSM, LXRS, TTL Serial, PWM, SBUS, Spectrum, SUMD, PPM, ST24, SHTP, microSD. The main protocols were I²C and SPI with 83.33% of the models having at least one of them. The Pixhawk and Pixracer models have 9 different protocol-connection methods. The reason that they were listed together is because most of the times a communication protocol is the same as the connection method.
The next characteristic is structure and refers to different combinations of sensors in each IMU. The basic sensors are gyroscopes, magnetometers, and accelerometers. There are also IMUs with other sensors such as barometers, temperature, and altitude pressure sensors. The range of different number of IMU sensors varies from one to five. Figure 7 shows, how many IMUs belong to these five categories. All IMUs had a gyroscope. Even more, 90% of them had an accelerometer. 40% of them also had magnetometers. All IMUs that had a magnetometer had also an accelerometer and a gyroscope. The 38% had at least one barometer, pressure, temperature, or attitude sensor. More specifically, 43% were barometers, 31.3% were pressure sensors, 18.8% were temperature sensors and only one sensor was attitude sensor. (6.25%).

5. Usage Statistics

The following method was designed to derive usage statistics. Initially, the 7 most dominant companies were searched on the HPP platform, through the Google Scholar website, the times that they appear in total, with the following criteria: The search space of time remains from 2016 to 2020 and keywords are the “company name” AND “mobile Robot”. In the company Analog Devices (ADIS), due to the common name, all the ADIS models of Table 1 were searched by their name. The overall results in descending order of use are presented in Figure 8, which displays the number of different IMU model applications from the 7 companies analyzed in the previous chapters. Xsens and Invensense are pioneers. They covered 47.19% of total applications.
Then there was ADIS, Pixhawk, and Microstrain with 55, 54, and 52 distinct applications respectively which corresponds to a total of 45%. Finally, there were Vector Nav and SparkFun with much smaller percentages, 5.62%, and 1.97% respectively. Also, Figure 9 shows the same data broken down by year to highlight the trend of each company and the usage trends of IMU companies per year. Bearing in mind in 2020 that, on one hand, the date on which the report was written was not nearly at the end of the year, and on the other hand, that in 2020 there is a health crisis with the COVID pandemic and all areas such as global research has been affected [44]. This can be seen also from Figure 9 that all companies from 2019 to 2020 showed a decline. In case, taking into account the year 2019, the companies Xsens, Invensense, Pixhawk, and ADIS had an upward trend, while Microstrain, VectorNav, and Sparkfun had a downward. The largest increase is presented by the company Xsens, which managed to surpass Invensense, which also had an increasing trend but at a slower pace.

6. Conclusions

The present review of different commercial IMUs, through a systematic way of research, refers to 42 IMU models. The number was obtained through a predefined method, described in previous sections, searching applications of the 7 manufacturers, which in turn emerged through research from 36 publications dealing with the construction of mobile robots in the last five years. Their selection through 995 publications was made through the criteria presented. Then, a detailed presentation in the form of a table of the main features, and data of each model was made. After that, the features were presented comparatively and analyzed. Also, usage statistics were presented through Figure 8 and Figure 9. In some cases, the companies didn’t have available information for some features. One such feature was the response time. Also, in some cases the measurement unit was different and as a result, the direct comparison of the features between models was not obvious, and conversion was needed. Conversely, the features were easily available to anyone interested.
During the feature comparison, the necessity of writing the present review was revealed, as there are several differences among the models. Most of the differences were significant and affected the outcome of making a mobile robot. Large or small range values do not mean better or worse sensors respectively. Thus, with the aggregate presentation of the data, the appropriate choice becomes easier. The choice must be made based on the data to be measured. There were also companies with an integrated IMU such as Pixhawk and companies that provided only the main sensor at the integrated circuit level. In terms of usage statistics, the years and companies surveyed showed a trend, with a clear upward and downward trend of the companies. An exception is the year 2020, which, as mentioned, due to the COVID-19 pandemic, had a universal downward trend.
The selection criteria of the publications and the models are also mentioned in detail so that in the future the interested researcher can configure them and be led to additional companies with more models for further analysis. Even the features presented are specific, forming a small part of the whole of them and in the future, other major features could be examined and as a result, different comparatives tables could be created.
Finally, the future design of a prototype feature framework is proposed depending on the use of IMU in order to be more efficient in comparing the different models.

Author Contributions

Writing—review and editing, G.G.S. and T.P.P. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

Not applicable, the study does not report any data.

Acknowledgments

This work was supported by the MPhil program “Advanced Technologies in Informatics and Computers”, hosted by the Department of Computer Science, International Hellenic University, Greece.

Conflicts of Interest

The authors declare no conflict of interest.

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Figure 1. Publications per IMU manufacturer.
Figure 1. Publications per IMU manufacturer.
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Figure 2. The input Voltage statistics divided in two classes.
Figure 2. The input Voltage statistics divided in two classes.
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Figure 3. Data Output rate.
Figure 3. Data Output rate.
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Figure 4. The different ranges of Gyroscopes.
Figure 4. The different ranges of Gyroscopes.
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Figure 5. The different ranges of Accelerometers.
Figure 5. The different ranges of Accelerometers.
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Figure 6. The different ranges of Magnetometers.
Figure 6. The different ranges of Magnetometers.
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Figure 7. Number of IMUs depending on the number of sensors they include.
Figure 7. Number of IMUs depending on the number of sensors they include.
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Figure 8. Total number of IMU applications per company in years 2016–2020.
Figure 8. Total number of IMU applications per company in years 2016–2020.
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Figure 9. Trend lines of the 7 IMUs’ companies in years 2016–2020.
Figure 9. Trend lines of the 7 IMUs’ companies in years 2016–2020.
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Samatas, G.G.; Pachidis, T.P. Inertial Measurement Units (IMUs) in Mobile Robots over the Last Five Years: A Review. Designs 2022, 6, 17. https://doi.org/10.3390/designs6010017

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Samatas GG, Pachidis TP. Inertial Measurement Units (IMUs) in Mobile Robots over the Last Five Years: A Review. Designs. 2022; 6(1):17. https://doi.org/10.3390/designs6010017

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Samatas, Gerasimos G., and Theodore P. Pachidis. 2022. "Inertial Measurement Units (IMUs) in Mobile Robots over the Last Five Years: A Review" Designs 6, no. 1: 17. https://doi.org/10.3390/designs6010017

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