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  • Feature Paper
  • Article
  • Open Access
15 Citations
5,057 Views
18 Pages

A Recursive Least-Squares Algorithm for the Identification of Trilinear Forms

  • Camelia Elisei-Iliescu,
  • Laura-Maria Dogariu,
  • Constantin Paleologu,
  • Jacob Benesty and ,
  • Andrei-Alexandru Enescu and
  • Silviu Ciochină
  • + 1 author+ 0 author

1 June 2020

High-dimensional system identification problems can be efficiently addressed based on tensor decompositions and modelling. In this paper, we design a recursive least-squares (RLS) algorithm tailored for the identification of trilinear forms, namely R...

  • Article
  • Open Access
5 Citations
1,829 Views
31 Pages

Robust Data-Reuse Regularized Recursive Least-Squares Algorithms for System Identification Applications

  • Radu-Andrei Otopeleanu,
  • Constantin Paleologu,
  • Jacob Benesty,
  • Laura-Maria Dogariu and ,
  • Cristian-Lucian Stanciu and
  • Silviu Ciochină
  • + 1 author+ 0 author

13 August 2025

The recursive least-squares (RLS) algorithm stands out as an appealing choice in adaptive filtering applications related to system identification problems. This algorithm is able to provide a fast convergence rate for various types of input signals,...

(This article belongs to the Special Issue Selected Papers from International Symposium on Electronics and Telecommunications ISETC 2024)
  • Article
  • Open Access
27 Citations
11,047 Views
16 Pages

Parameter Identification of BLDC Motor Using Electromechanical Tests and Recursive Least-Squares Algorithm: Experimental Validation

  • Jose Jimenez-Gonzalez,
  • Felipe Gonzalez-Montañez,
  • Victor Manuel Jimenez-Mondragon,
  • Jesús Ulises Liceaga-Castro and ,
  • Rafael Escarela-Perez and
  • Juan Carlos Olivares-Galvan
  • + 1 author+ 0 author

25 June 2021

In this article, the parameter identification of a brushless DC motor (BLDC) is presented. The approach here presented is based on a direct identification considering a three-phase line-to-line voltage electromagnetic torque as function of the electr...

  • Article
  • Open Access
21 Citations
2,821 Views
20 Pages

This paper is concerned with the identification problem for multivariable equation-error systems whose disturbance is an autoregressive moving average process. By means of the hierarchical identification principle and the iterative search, a hierarch...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
16 Citations
3,262 Views
23 Pages

Identification of Linear Time-Invariant Systems: A Least Squares of Orthogonal Distances Approach

  • Luis Alberto Cantera-Cantera,
  • Rubén Garrido,
  • Luis Luna,
  • Cristóbal Vargas-Jarillo and
  • Erick Asiain

3 March 2023

This work describes the parameter identification of servo systems using the least squares of orthogonal distances method. The parameter identification problem was reconsidered as data fitting to a plane, which in turn corresponds to a nonlinear minim...

(This article belongs to the Special Issue New Trends on Identification of Dynamic Systems)
  • Article
  • Open Access
3 Citations
4,917 Views
13 Pages

12 January 2017

This paper focuses on the recursive identification problems for a multivariate output-error system. By decomposing the system into several subsystems and by forming a coupled relationship between the parameter estimation vectors of the subsystems, tw...

  • Article
  • Open Access
4 Citations
1,103 Views
16 Pages

3 April 2025

It is known that fractional-order models can effectively represent complex high-order systems with fewer parameters. This paper focuses on the identification of a class of multiple-input single-output fractional Hammerstein models. When the commensur...

(This article belongs to the Section Algorithms for Multidisciplinary Applications)
  • Article
  • Open Access
2 Citations
4,503 Views
21 Pages

23 October 2024

Inertial Measurement Units are widely used in various applications and, hardware-wise, they primarily consist of a tri-axial accelerometer and a tri-axial gyroscope. For low-end commercial employments, the low cost of the device is crucial: this make...

(This article belongs to the Special Issue Recent Trends and Advances on Robotics and Mechatronics within the IFToMM Technical Committee on Robotics and Mechatronics)
  • Article
  • Open Access
20 Citations
4,045 Views
14 Pages

Output-Only Parameters Identification of Earthquake-Excited Building Structures with Least Squares and Input Modification Process

  • Jing Ji,
  • Maomao Yang,
  • Liangqin Jiang,
  • Jia He and ,
  • Zhenchao Teng,
  • Yingchun Liu and
  • Huayu Song
  • + 2 authors+ 0 author

18 February 2019

Damage detection and system identification with output-only information is an important but challenging task for ensuring the safety and functionality of civil structures during their service life. In this paper, a relatively simple and efficient ite...

(This article belongs to the Special Issue Structural Damage Detection and Health Monitoring)
  • Article
  • Open Access
104 Citations
7,228 Views
15 Pages

A Novel Method for Lithium-Ion Battery Online Parameter Identification Based on Variable Forgetting Factor Recursive Least Squares

  • Zizhou Lao,
  • Bizhong Xia,
  • Wei Wang,
  • Wei Sun and ,
  • Yongzhi Lai and
  • Mingwang Wang
  • + 1 author+ 0 author

26 May 2018

For model-based state of charge (SOC) estimation methods, the battery model parameters change with temperature, SOC, and so forth, causing the estimation error to increase. Constantly updating model parameters during battery operation, also known as...

  • Article
  • Open Access
108 Citations
10,640 Views
23 Pages

Online Parameter Identification and State of Charge Estimation of Lithium-Ion Batteries Based on Forgetting Factor Recursive Least Squares and Nonlinear Kalman Filter

  • Bizhong Xia,
  • Zizhou Lao,
  • Ruifeng Zhang,
  • Yong Tian and ,
  • Guanghao Chen,
  • Zhen Sun,
  • Wei Wang,
  • Wei Sun,
  • Yongzhi Lai and
  • Huawen Wang
  • + 6 authors+ 1 author

21 December 2017

State of charge (SOC) estimation is the core of any battery management system. Most closed-loop SOC estimation algorithms are based on the equivalent circuit model with fixed parameters. However, the parameters of the equivalent circuit model will ch...

  • Article
  • Open Access
4 Citations
4,958 Views
16 Pages

9 November 2017

In order to identify various kinds of combined power quality disturbances, the singular value decomposition (SVD) and the improved total least squares-estimation of signal parameters via rotational invariance techniques (TLS-ESPRIT) are combined as t...

(This article belongs to the Section F: Electrical Engineering)
  • Article
  • Open Access
5 Citations
2,952 Views
16 Pages

29 January 2022

This paper considers the parameter estimation problems of Hammerstein finite impulse response moving average (FIR–MA) systems. Based on the matrix transformation and the hierarchical identification principle, the Hammerstein FIR–MA system...

(This article belongs to the Special Issue Impulsive Control Systems and Complexity II)
  • Article
  • Open Access
25 Citations
5,441 Views
18 Pages

Significant changes in the load of cargo ships make it difficult to simulate and control their motion. In this work, a parameter prediction method for a ship maneuvering motion model is developed based on parameter identification and support vector r...

(This article belongs to the Special Issue Recent Developments and Knowledge in Intelligent and Safe Marine Navigation)
  • Article
  • Open Access
1 Citations
2,031 Views
18 Pages

29 September 2023

Damage identification plays an important role in enhancing resilience by facilitating precise detection and assessment of structural impairments, thereby strengthening the resilience of critical infrastructure. A current challenge of vibration-based...

(This article belongs to the Special Issue Advances in Structural Health Monitoring and Damage Identification)
  • Article
  • Open Access
7 Citations
3,632 Views
20 Pages

8 October 2019

Structural damage is inevitable due to the structural aging and disastrous external excitation. The auto-regressive (AR) based method is one of the most widely used methods for structural damage identification. In this regard, the classical least-squ...

(This article belongs to the Special Issue Sensor and Embedded System Applications in Structural Engineering and Engineering Seismology)
  • Article
  • Open Access
11 Citations
2,768 Views
34 Pages

6 May 2023

The viscoelastic relaxation spectrum is vital for constitutive models and for insight into the mechanical properties of materials, since, from the relaxation spectrum, other material functions used to describe rheological properties can be uniquely d...

(This article belongs to the Special Issue Modelling of Viscoelastic Materials and Mechanical Behavior)
  • Article
  • Open Access
9 Citations
5,321 Views
16 Pages

Low-Complexity Recursive Least-Squares Adaptive Algorithm Based on Tensorial Forms

  • Ionuț-Dorinel Fîciu,
  • Cristian-Lucian Stanciu,
  • Cristian Anghel and
  • Camelia Elisei-Iliescu

17 September 2021

Modern solutions for system identification problems employ multilinear forms, which are based on multiple-order tensor decomposition (of rank one). Recently, such a solution was introduced based on the recursive least-squares (RLS) algorithm. Despite...

(This article belongs to the Special Issue Advance in Digital Signal Processing and Its Implementation)
  • Article
  • Open Access
5 Citations
3,143 Views
15 Pages

Cascaded RLS Adaptive Filters Based on a Kronecker Product Decomposition

  • Alexandru-George Rusu,
  • Silviu Ciochină,
  • Constantin Paleologu and
  • Jacob Benesty

The multilinear system framework allows for the exploitation of the system identification problem from different perspectives in the context of various applications, such as nonlinear acoustic echo cancellation, multi-party audio conferencing, and vi...

(This article belongs to the Special Issue Efficient Algorithms and Architectures for DSP Applications)
  • Article
  • Open Access
5 Citations
2,673 Views
16 Pages

Tensor-Based Recursive Least-Squares Adaptive Algorithms with Low-Complexity and High Robustness Features

  • Ionuț-Dorinel Fîciu,
  • Cristian-Lucian Stanciu,
  • Camelia Elisei-Iliescu and
  • Cristian Anghel

The recently proposed tensor-based recursive least-squares dichotomous coordinate descent algorithm, namely RLS-DCD-T, was designed for the identification of multilinear forms. In this context, a high-dimensional system identification problem can be...

(This article belongs to the Special Issue Efficient Algorithms and Architectures for DSP Applications)
  • Article
  • Open Access
4 Citations
1,835 Views
19 Pages

18 October 2021

Properties of state observers depend on proper gains selection. Each method of state estimation may require the implementation of specific techniques of finding those gains. The aim of this study is to propose a universal method of automatic gains se...

(This article belongs to the Section E: Electric Vehicles)
  • Article
  • Open Access
49 Citations
4,481 Views
12 Pages

22 July 2021

In order to improve the estimation accuracy of the battery state of charge (SOC) based on the equivalent circuit model, a lithium-ion battery SOC estimation method based on adaptive forgetting factor least squares and unscented Kalman filtering is pr...

  • Article
  • Open Access
153 Citations
11,553 Views
15 Pages

12 June 2019

With the popularity of electric vehicles, lithium-ion batteries as a power source are an important part of electric vehicles, and online identification of equivalent circuit model parameters of a lithium-ion battery has gradually become a focus of re...

(This article belongs to the Special Issue Energy Storage and Management for Electric Vehicles)
  • Feature Paper
  • Article
  • Open Access
2 Citations
675 Views
30 Pages

Recursive Least-Squares Algorithm Based on a Fourth-Order Tensor Decomposition for Acoustic Echo Cancellation

  • Radu-Andrei Otopeleanu,
  • Laura-Maria Dogariu,
  • Constantin Paleologu,
  • Jacob Benesty and ,
  • Cristian-Lucian Stanciu and
  • Ruxandra-Liana Costea
  • + 1 author+ 0 author

27 February 2026

Adaptive filtering algorithms based on tensor decomposition represent appealing choices for system identification problems, especially when dealing with the estimation of long-length impulse responses, like in acoustic echo cancellation. The topic ha...

  • Article
  • Open Access
8 Citations
3,000 Views
26 Pages

Efficient Algorithms for Linear System Identification with Particular Symmetric Filters

  • Ionuţ-Dorinel Fîciu,
  • Jacob Benesty,
  • Laura-Maria Dogariu,
  • Constantin Paleologu and
  • Silviu Ciochină

23 April 2022

In linear system identification problems, it is important to reveal and exploit any specific intrinsic characteristic of the impulse responses, in order to improve the overall performance, especially in terms of the accuracy and complexity of the sol...

(This article belongs to the Special Issue Statistical Signal Processing: Theory, Methods and Applications)
  • Article
  • Open Access
34 Citations
7,438 Views
19 Pages

Online Parameter Identification of Lithium-Ion Batteries Using a Novel Multiple Forgetting Factor Recursive Least Square Algorithm

  • Bizhong Xia,
  • Rui Huang,
  • Zizhou Lao,
  • Ruifeng Zhang and ,
  • Yongzhi Lai,
  • Weiwei Zheng,
  • Huawen Wang,
  • Wei Wang and
  • Mingwang Wang
  • + 4 authors+ 0 author

16 November 2018

The model parameters of the lithium-ion battery are of great importance to model-based battery state estimation methods. The fact that parameters change in different rates with operation temperature, state of charge (SOC), state of health (SOH) and o...

  • Article
  • Open Access
36 Citations
7,878 Views
15 Pages

18 September 2019

Metal oxide (MOX) sensors are widely used for chemical sensing due to their low cost, miniaturization, low power consumption and durability. Yet, getting instantaneous measurements of fluctuating gas concentration in turbulent plumes is not possible...

(This article belongs to the Section Chemical Sensors)
  • Article
  • Open Access
4 Citations
3,187 Views
23 Pages

13 February 2024

The dual active bridge (DAB) converter has grown significantly as one of the most important units for energy distribution, connecting various types of renewable energy sources with the DC microgrid. For controlling the DAB converter, moving discretiz...

(This article belongs to the Special Issue Applied Mathematics and Intelligent Control in Electrical Engineering)
  • Article
  • Open Access
38 Citations
6,974 Views
21 Pages

12 January 2016

Shearers play an important role in fully mechanized coal mining face and accurately identifying their cutting pattern is very helpful for improving the automation level of shearers and ensuring the safety of coal mining. The least squares support vec...

(This article belongs to the Section Physical Sensors)
  • Article
  • Open Access
6 Citations
2,498 Views
17 Pages

This paper combines the piecewise Cubic Hermite (CH) interpolation algorithm and the weighted least square support vector machine (WLS-SVM) to improve identification accuracy for marine crafts built based on the characteristic model. The characterist...

(This article belongs to the Special Issue Optimal Maneuvering and Control of Ships)
  • Article
  • Open Access
9 Citations
3,061 Views
18 Pages

Quantitative Detection of Tank Floor Defects by Pseudo-Color Imaging of Three-Dimensional Magnetic Flux Leakage Signals

  • Zhijun Yang,
  • Jiang Yang,
  • Huaiqing Cao,
  • Han Sun and ,
  • Yazhong Zhao,
  • Bowen Zhang and
  • Changpeng Meng
  • + 2 authors+ 0 author

1 March 2023

Highly integrated three-dimensional magnetic sensors have just been developed and have been used in some fields, such as angle measurement of moving objects. The sensor used in this paper is a three-dimensional magnetic sensor with three Hall probes...

(This article belongs to the Special Issue Advanced Sensing and Evaluating Technology in Nondestructive Testing)
  • Article
  • Open Access
43 Citations
5,155 Views
18 Pages

15 January 2020

Aimed at the limitation of traditional fuzzy control strategy in distributing power and improving the economy of a fuel cell hybrid electric vehicle (FCHEV), an energy management strategy combined with working conditions identification is proposed. F...

(This article belongs to the Special Issue Energy Storage Systems for Electric Vehicles)
  • Article
  • Open Access
4 Citations
1,976 Views
14 Pages

A Method of Reducing Invalid Steering for AUVs Based on a Wave Peak Frequency Tracker

  • Jianping Yuan,
  • Jin Li,
  • Zhihui Dong,
  • Qinglong Chen and
  • Hanbing Sun

18 November 2022

The motion control of autonomous underwater vehicles (AUVs) is affected by waves near the ocean surface or in shallow-water areas. Therefore, to counteract the influence of waves, we need to remove them by designing a filter. The wave peak frequency...

(This article belongs to the Special Issue Smart Transportation and Intelligent and Connected Driving)
  • Article
  • Open Access
14 Citations
2,839 Views
13 Pages

15 December 2021

This paper is devoted to the identification of the parameters of discrete fractional systems with errors in variables. Estimates of the parameters of such systems can be obtained using generalized total least squares (GTLS). A GTLS problem can be red...

(This article belongs to the Section C2: Dynamical Systems)
  • Article
  • Open Access
6 Citations
2,466 Views
13 Pages

Volterra Black-Box Models Identification Methods: Direct Collocation vs. Least Squares

  • Denis Sidorov,
  • Aleksandr Tynda,
  • Vladislav Muratov and
  • Eugeny Yanitsky

10 January 2024

The Volterra integral-functional series is the classic approach for nonlinear black box dynamical system modeling. It is widely employed in many domains including radiophysics, aerodynamics, electronic and electrical engineering and many others. Iden...

(This article belongs to the Special Issue Identification, Knowledge Engineering and Digital Modeling for Adaptive and Intelligent Control, 2nd Edition)
  • Article
  • Open Access
4 Citations
2,046 Views
16 Pages

11 December 2023

This paper presents a closed-loop continuous-time subspace identification method using prior information. Based on a rational inner function, a generalized orthonormal basis can be constructed, and the transformed noises have ergodicity features. The...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
5 Citations
2,451 Views
23 Pages

15 May 2023

In industrial production, the effective and reliable performance of hydraulic systems is closely associated with product quality, personal safety, economic efficiency, etc. It is of utmost significance to perform the health status evaluation of syste...

(This article belongs to the Special Issue Advanced Circuits and Systems for Emerging Applications)
  • Article
  • Open Access
11 Citations
6,498 Views
17 Pages

27 July 2016

A fractional derivative system identification approach for modeling battery dynamics is presented in this paper, where fractional derivatives are applied to approximate non-linear dynamic behavior of a battery system. The least squares-based state-va...

  • Article
  • Open Access
4 Citations
1,757 Views
17 Pages

8 November 2023

This research aims to apply an output filtering method to conduct the system parameter identification of an unstable wheel-driven pendulum system. First, the nonlinear dynamic model of the system is established by utilizing the Lagrangian dynamic the...

(This article belongs to the Special Issue Advances in Image Processing, Artificial Intelligence and Intelligent Robotics)
  • Article
  • Open Access
20 Citations
7,247 Views
17 Pages

28 March 2018

In this paper, an on-line parameter identification algorithm to iteratively compute the numerical values of inertia and load torque is proposed. Since inertia and load torque are strongly coupled variables due to the degenerate-rank problem, it is ha...

(This article belongs to the Special Issue Emerging Power Electronics Technologies for Power Systems and Machine Drives)
  • Article
  • Open Access
4 Citations
1,452 Views
27 Pages

Mechanical Parameter Identification of Permanent Magnet Synchronous Motor Based on Symmetry

  • Xing Ming,
  • Xiaoyu Wang,
  • Fucong Liu,
  • Yi Qu and ,
  • Bingyin Zhou,
  • Shuolin Zhang and
  • Ping Yu
  • + 2 authors+ 0 author

11 November 2025

Permanent Magnet Synchronous Motors (PMSMs) have been widely applied across various electrical systems due to their significant advantages, including high power density, high-efficiency conversion, and easy controllability. However, the issue of &lsq...

(This article belongs to the Special Issue Symmetry in Power System Dynamics and Control)
  • Article
  • Open Access
1 Citations
3,408 Views
15 Pages

Methods of Pre-Identification of TITO Systems

  • Milan Saga,
  • Karel Perutka,
  • Ivan Kuric,
  • Ivan Zajačko and ,
  • Vladimír Bulej,
  • Vladimír Tlach and
  • Martin Bezák
  • + 2 authors+ 0 author

28 July 2021

The content of this article is the presentation of methods used to identify systems before actual control, namely decentralized control of systems with Two Inputs, Two Outputs (TITO) and with two interactions. First, theoretical assumptions and reaso...

(This article belongs to the Special Issue Automation and Robotics: Latest Achievements, Challenges and Prospects)
  • Article
  • Open Access
194 Views
27 Pages

21 October 2026

In sensor-based monitoring and control systems, dynamic models are often identified from data collected in closed loop (where the noisy sensor measurements that drive the controller are also regressors). Feedback links regressors to disturbances, whi...

(This article belongs to the Special Issue Sensing for Automatic Control and Measurement System)
  • Article
  • Open Access
2 Citations
1,954 Views
21 Pages

Research on Identification of Minimum Parameter Set in Robot Dynamics and Excitation Strategy

  • Zhiqiang Wang,
  • Jianhai Han,
  • Xiangpan Li,
  • Bingjing Guo and
  • Lewei Lu

15 September 2025

The minimal parameter set is fundamental to robot dynamic identification, enabling efficient and identifiable modeling for control and simulation. In this paper, the Newton–Euler method is employed to formulate the robot dynamics. By leveraging...

(This article belongs to the Section Sensors and Robotics)
  • Article
  • Open Access
27 Citations
3,650 Views
15 Pages

23 March 2019

Voltage sag is one of the most serious problems in power quality. The occurrence of voltage sag will lead to a huge loss in the social economy and have a serious effect on people’s daily life. The identification of sag types is the basis for so...

(This article belongs to the Section F: Electrical Engineering)
  • Article
  • Open Access
2 Citations
2,413 Views
19 Pages

Constrained Least-Squares Parameter Estimation for a Double Layer Capacitor

  • Nayzel I. Jannif,
  • Rahul R. Kumar,
  • Ali Mohammadi,
  • Giansalvo Cirrincione and
  • Maurizio Cirrincione

18 May 2023

This paper presents an estimation of the parameters for a Double Layer Super Capacitor (DLC) that is modelled with a two-branch circuit. The estimation is achieved using a constrained minimization technique, which is developed off-line and uses a sin...

(This article belongs to the Section D: Energy Storage and Application)
  • Article
  • Open Access
44 Citations
4,527 Views
18 Pages

Recursive Algorithms for Multivariable Output-Error-Like ARMA Systems

  • Hao Ma,
  • Jian Pan,
  • Lei Lv,
  • Guanghui Xu and ,
  • Feng Ding,
  • Ahmed Alsaedi and
  • Tasawar Hayat
  • + 2 authors+ 0 author

19 June 2019

This paper studies the parameter identification problems for multivariable output-error-like systems with colored noises. Based on the hierarchical identification principle, the original system is decomposed into several subsystems. However, each sub...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
9 Citations
5,492 Views
13 Pages

26 July 2016

This paper discusses the parameter estimation problems of multi-input output-error autoregressive (OEAR) systems. By combining the auxiliary model identification idea and the data filtering technique, a data filtering based recursive generalized leas...

  • Article
  • Open Access
8 Citations
1,772 Views
12 Pages

30 August 2025

In this study, a novel pattern recognition method named boosting–partial least squares–discriminant analysis (Boosting-PLS-DA) was developed for the non-destructive and accurate origin identification of food and medicine homologous substa...

(This article belongs to the Section Medicinal Chemistry)
  • Article
  • Open Access
32 Citations
5,795 Views
27 Pages

Tensor-Based Adaptive Filtering Algorithms

  • Laura-Maria Dogariu,
  • Cristian-Lucian Stanciu,
  • Camelia Elisei-Iliescu,
  • Constantin Paleologu and ,
  • Jacob Benesty and
  • Silviu Ciochină
  • + 1 author+ 0 author

15 March 2021

Tensor-based signal processing methods are usually employed when dealing with multidimensional data and/or systems with a large parameter space. In this paper, we present a family of tensor-based adaptive filtering algorithms, which are suitable for...

(This article belongs to the Special Issue Advances in Symmetric Tensor Decomposition Methods)

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