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Asynchronous Control for Discrete-time Switched Time-delay Systems with Mode-dependent Persistent Dwell-time

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  • Control Theory and Applications
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Abstract

This paper deals with asynchronous control for discrete-time switched time-delay system with persistent dwell-time (PDT). The mode-dependent PDT switching is adopted, which is more general than average dwell time switching. Moreover, to deal with the mode-dependent delay in mode identification and signal transmission, the asynchronous phenomenon between controllers and subsystems is considered. A new mode-dependent Lyapunov function is constructed, which is suitable to the asynchronous PDT switching. Then, the sufficient condition for globally uniformly asymptotically stable (GUAS) of the discrete-time switched time-delay system is proposed. Further, the asynchronous controller and switching law are designed such that the closed-loop system is GUAS. Finally, an application example of water pollution is given to show the effectiveness of the proposed method.

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Funding

This work was supported by National Natural Science Foundation of China 6203188, 61703231, Natural Science Foundation of Zhejiang Province under Grant LQ20F030004, the Open Research Project of the State Key Laboratory of Industrial Control Technology, Zhejiang University, China (No. ICT20081), the Natural Science Foundation of Ningbo under Grant 202003N4075, Project of Doctoral Research Initiation Fund of Shenyang Institute of Technology (BS202003).

Author information

Authors and Affiliations

  1. School of Information Science and Engineering, Shenyang Ligong University, Shenyang, 110159, China

    Shuting Liu

  2. Shenyang Ligong University Science and Technology Development Corporation, Shenyang, 110016, China

    Shuting Liu

  3. College of Information Technology, Shenyang Institute of Technology, Fushun, 113122, China

    Shuting Liu

  4. College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China

    Shuting Liu

  5. Faculty of Electrical Engineering & Computer Science, Ningbo University, Ningbo, 315211, China

    Hangfeng He

  6. School of Engineering, Qufu Normal University, Rizhao, 276826, China

    Wenhai Qi

  7. School of Information Science and Engineering, Chengdu University, Chengdu, China

    Kaibo Shi

Authors
  1. Shuting Liu
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Corresponding author

Correspondence to Shuting Liu.

Additional information

Shuting Liu is currently a postdoctoral fellows at the School of Information Science and Engineering, Shenyang Ligong University, Shangyang, China. She obtained her B.S. degree in Automation from Liaoning Petrochemical University, Fushun, China, in 2007. From September 2007 to June 2010, she received an M.S. degree in Control Theory and Control Engineering from Liaoning Petrochemical University, Fushun, China, and a Ph.D. degree in Control Theory and Control Engineering from Northeastern University, Shenyang, China, in 2018. Her scientific interests include intelligent modeling, control and optimization of chemical processes, data driven, and machine learning.

Hangfeng He received his B.S. degree in automation and a Ph.D. degree in control theory and control engineering from Northeastern University, Shenyang, China, in 2013 and 2018. He is currently working with the Faculty of Electrical Engineering and Computer Science, Ningbo University, China. His research interests include hybrid systems, networked control systems, positive systems, and adaptive security control. He is a very active reviewer for many international journals.

Wenhai Qi received his B.S. degree in automation and an M.S. degree in control theory and control engineering from Qufu Normal University, Jining, China, in 2008 and 2013, respectively, and a Ph.D. degree in control theory and control engineering from Northeastern University, Shenyang, China, in 2016. From July 2018 to August 2018, he visited the Department of Electrical Engineering, Yeungnam University, Gyeongsan, Korea. From December 2019 to January 2020, he visited the Department of Mechanical Engineering, The University of Hong Kong, Hong Kong. From March 2021 to August 2021, he visited the State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang. He is currently working with the School of Engineering, Qufu Normal University, Rizhao, China. He is currently working with the School of Engineering, Qufu Normal University, Rizhao, China. His research interests include Markov jump systems, switched systems, positive systems, and networked control systems.

Kaibo Shi received his Ph.D. degree in the School of Automation Engineering at the University of Electronic Science and Technology of China. He is a professor of School of Information Sciences and Engineering, Chengdu University. From September 2014 to September 2015, he was a visiting scholar at the Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada. He was Research Assistant with the Department of Computer and Information Science, Faculty of Science and Technology, University of Macau, Taipa, from May 2016 to Jun 2016 and January 2017 to October 2017. He was also a Visiting Scholar with the Department of Electrical Engineering, Yeungnam University, Gyeongsan, Korea, from December 2019 to January 2020. His current research interests include stability theorem, robust control, sampled-data control systems, networked control systems, Lurie chaotic systems, stochastic systems, and neural networks. He is the author or coauthor of over 60 research articles. He is a very active reviewer for many international journals.

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Liu, S., He, H., Qi, W. et al. Asynchronous Control for Discrete-time Switched Time-delay Systems with Mode-dependent Persistent Dwell-time. Int. J. Control Autom. Syst. 20, 1205–1214 (2022). https://doi.org/10.1007/s12555-021-0023-2

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