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Actuators
Special Issues
Control Systems in the Presence of Time Delays
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Control Systems in the Presence of Time Delays

A special issue of Actuators (ISSN 2076-0825).

Deadline for manuscript submissions: closed (31 July 2021) | Viewed by 13248

Special Issue Editors

Prof. Dr. Jinhua She

E-Mail Website
Guest Editor
School of Engineering, Tokyo University of Technology, 1404-1 Katakura, Hachioji, Tokyo 192-0982, Japan
Interests: applications of control theory; repetitive control; active disturbance rejection; process control; assistive robotics
Prof. Dr. Min Wu

E-Mail Website
Guest Editor
School of Automation, China University of Geosciences, 388 Lumo Road, Wuhan 430074, Hubei, China
Interests: process control; robust control; intelligent systems
Prof. Dr. Chengda Lu

E-Mail Website
Guest Editor
School of Automation, China University of Geosciences, 388 Lumo Road, Wuhan 430074, Hubei, China
Interests: robust control; time-delay systems; process control
Prof. Dr. Zongli Lin

E-Mail Website
Guest Editor
Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, Charlottesville, VA 22904, USA
Interests: nonlinear systems; nonlinear control; constrained control; systems with time delays; active magnetic bearings

Special Issue Information

Dear Colleagues,

Time delays arise in various components of a control system, including actuators, sensors, control algorithms, and communication links. If not properly taken into consideration, time delays will degrade the closed-loop performance and may even incur instability. As a result, much research has been and continues to be dedicated to the analysis and design of control systems in the presence of time delays.

This Special Issue aims to report on significant recent developments in research on control systems with time delays. We welcome original contributions in both theoretical studies and practical applications. Topics of interest include but are not limited to the modeling, analysis, and control of various kinds of systems in the presence of time delays, such as networked control systems, hybrid systems, neural networks, multiagent systems, and mechanical systems.

Prof. Dr. Jinhua She
Prof. Dr. Min Wu
Prof. Dr. Chengda Lu
Prof. Dr. Zongli Lin
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Actuators is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Time-delay systems
  • Infinite dimensional systems
  • Actuation delays
  • Finite dimension approximations
  • Control design
  • Delay compensation
  • Stability analysis
  • Delay-dependent conditions
  • Delay independent conditions
  • Lyapunov–Krasovskii functional method

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Published Papers (5 papers)

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Research

16 pages, 1199 KiB  
Article
An Improved Equivalent-Input-Disturbance Method for Uncertain Networked Control Systems with Packet Losses and Exogenous Disturbances
by Meiliu Li, Jinhua She, Zhen-Tao Liu, Min Wu and Yasuhiro Ohyama
Actuators 2021, 10(10), 263; https://doi.org/10.3390/act10100263 - 12 Oct 2021
Cited by 6 | Viewed by 2305
Abstract
In a networked control system (NCS), time delays, uncertainties, packet losses, and exogenous disturbances seriously affect the control performance. To solve these problems, a modified disturbance suppression configuration of NCS was built. In the configuration, a proportional–integral observer (PIO) reproduces the state of [...] Read more.
In a networked control system (NCS), time delays, uncertainties, packet losses, and exogenous disturbances seriously affect the control performance. To solve these problems, a modified disturbance suppression configuration of NCS was built. In the configuration, a proportional–integral observer (PIO) reproduces the state of a plant and reduces the observation error; an equivalent input disturbance (EID) estimator estimates and compensates for the disturbance in the control input channel. The stability conditions of the NCS are given by using a linear matrix inequality, and the gains of the PIO and state feedback controller are obtained. Numerical simulation results and an application of a magnetic levitation ball system verifies the effectiveness of the presented method. Comparison with the conventional PIO and EID methods shows that the presented method reduced the tracking error to about one-fifth and two-thirds of their original values, respectively. This demonstrates the validity and superiority of the presented method. Full article
(This article belongs to the Special Issue Control Systems in the Presence of Time Delays)
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15 pages, 544 KiB  
Article
Stabilization of Switched Time-Delay Linear Systems through a State-Dependent Switching Strategy
by Tan Hou, Yuanlong Li and Zongli Lin
Actuators 2021, 10(10), 261; https://doi.org/10.3390/act10100261 - 5 Oct 2021
Cited by 1 | Viewed by 2032
Abstract
This paper considers the problem of stabilizing switched time-delay linear systems through a state-dependent switching strategy. In contrast to the existing works, we adopt a less restrictive assumption of the system, and show that this assumption is sufficient to guarantee asymptotic stability of [...] Read more.
This paper considers the problem of stabilizing switched time-delay linear systems through a state-dependent switching strategy. In contrast to the existing works, we adopt a less restrictive assumption of the system, and show that this assumption is sufficient to guarantee asymptotic stability of the considered system under the min-projection switching strategy. Our results also imply that the min-projection switching strategy, originally designed for delay-free switched systems, is robust with respect to small state delays. An optimization problem is formulated to estimate the upper bound of the tolerable time delay. Numerical examples are presented to show that our method is applicable to a larger class of switched systems and leads to a greater delay bound. Full article
(This article belongs to the Special Issue Control Systems in the Presence of Time Delays)
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17 pages, 2047 KiB  
Article
Stabilization of Unstable Second-Order Delay Plants under PID Control: A Nyquist Curve Analysis
by Li Sun and Dan Ma
Actuators 2021, 10(9), 227; https://doi.org/10.3390/act10090227 - 8 Sep 2021
Viewed by 2864
Abstract
Time delays arise in various components of control systems, including actuators, sensors, control algorithms, and communication links. If not properly taken into consideration, time delays will degrade the closed-loop performance and may even result in instability. This paper studies the stabilization problem of [...] Read more.
Time delays arise in various components of control systems, including actuators, sensors, control algorithms, and communication links. If not properly taken into consideration, time delays will degrade the closed-loop performance and may even result in instability. This paper studies the stabilization problem of the second-order delay plants with two unstable real poles. Stabilization conditions under PD and PID control are derived using the Nyquist stability criterion. Algorithms for computing feasible PD and PID parameter regions are proposed. In some special cases, the maximal range of delay for stabilization under PD control is also given. Full article
(This article belongs to the Special Issue Control Systems in the Presence of Time Delays)
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18 pages, 561 KiB  
Article
Trajectory Tracking Control for Reaction–Diffusion System with Time Delay Using P-Type Iterative Learning Method
by Yaqiang Liu, Jianzhong Li and Zengwang Jin
Actuators 2021, 10(8), 186; https://doi.org/10.3390/act10080186 - 5 Aug 2021
Cited by 2 | Viewed by 2344
Abstract
This paper has dealt with a tracking control problem for a class of unstable reaction–diffusion system with time delay. Iterative learning algorithms are introduced to make the infinite-dimensional repetitive motion system track the desired trajectory. A new Lyapunov–Krasovskii functional is constructed to deal [...] Read more.
This paper has dealt with a tracking control problem for a class of unstable reaction–diffusion system with time delay. Iterative learning algorithms are introduced to make the infinite-dimensional repetitive motion system track the desired trajectory. A new Lyapunov–Krasovskii functional is constructed to deal with the time-delay system. Picewise distribution functions are applied in this paper to perform piecewise control operations. By using Poincaré–Wirtinger inequality, Cauchy–Schwartz inequality for integrals and Young’s inequality, the convergence of the system with time delay using iterative learning schemes is proved. Numerical simulation results have verified the effectiveness of the proposed method. Full article
(This article belongs to the Special Issue Control Systems in the Presence of Time Delays)
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10 pages, 452 KiB  
Communication
Delay-Dependent Stability Analysis of Haptic Systems via an Auxiliary Function-Based Integral Inequality
by Du Xiong, Yunfan Liu, Cui Zhu, Li Jin and Leimin Wang
Actuators 2021, 10(8), 171; https://doi.org/10.3390/act10080171 - 23 Jul 2021
Cited by 3 | Viewed by 2004
Abstract
In this paper, the delay-dependent stability of haptic systems is studied by developing a new stability criterion. Firstly, the haptic system inevitably introduces time delays by using communication networks to transmit information between the controller and the haptic device. When discussing the stability [...] Read more.
In this paper, the delay-dependent stability of haptic systems is studied by developing a new stability criterion. Firstly, the haptic system inevitably introduces time delays by using communication networks to transmit information between the controller and the haptic device. When discussing the stability of the haptic system near its operating point, the original nonlinear system is modeled as a linear system with the time delay mentioned above. In addition, a suitable augmented Lyapunov–Krasovskii functional (LKF) with more integral forms is constructed and an auxiliary function-based integral inequality is applied to estimate the derivative of the proposed LKF. Then, a less conservative delay-dependent criterion in terms of the linear matrix inequality (LMI) is derived to calculate the delay margin for the haptic system. Finally, case studies are carried out based on a one degree of freedom haptic system. The results show that, compared with criteria in existing works, the proposed criterion can obtain more accurate results and require less calculation complexity, and, with the increase in virtual damping in a certain range, the stable upper bound of the haptic system increases at first and then decreases. Full article
(This article belongs to the Special Issue Control Systems in the Presence of Time Delays)
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