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Optimal Regulation Performance of MIMO Networked Time-delay Systems With Limited Bandwidth and Interference Signals

  • Regular Papers
  • Control Theory and Applications
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Abstract

In this paper, we investigate the optimal regulation performance of networked time delay systems with limited bandwidth and interference signals. Communication networks are primarily influenced by parameters including bandwidth, packet dropouts, coding and decoding, interference signals, and channel noise. For a given system, non-minimum phase zeros, unstable poles, and time delay are considered. The corresponding regulation performance expressions are derived using coprime decomposition, spectral decomposition techniques, and norm correlation theory in the frequency domain. Results indicate that regulation performance is dependent on the location and direction of non-minimum phase zeros and unstable poles of a given system, as well as the internal time delay of the controlled plant. In addition, network communication parameters such as bandwidth, channel noise, packet dropouts, and external interference signals influence the performance of the regulation. Finally, simulation examples are provided to demonstrate the theory’s validity.

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Authors and Affiliations

  1. School of College of Mechatronics and Control Engineering, Hubei Normal University, Huangshi, 435002, China

    Qianhao Li, Qingsheng Yang, Xisheng Zhan & Jie Wu

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  1. Qianhao Li
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  2. Qingsheng Yang
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  3. Xisheng Zhan
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Corresponding author

Correspondence to Xisheng Zhan.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This work was partially supported by the National Natural Science Foundation of China under Grants 62072164, 61971181 and 62271195, and Outstanding Youth Science and Technology Innovation Team in Hubei Province under Grant T2022027 and 2023AFD006.

Qianhao Li is pursuing a M.S. degree in the College of Electrical Engineering and Automation, Hubei Normal University, Huangshi, China. His research interests include networked control system performance analysis.

Qingsheng Yang received his B.S. and M.S. degrees in detection technology and automatic equipment from Yangtze University, Jingzhou, China, in 2007 and 2010, respectively. He is currently an Associate Professor with the College of Mechatronics and Control Engineering, Hubei Normal University. His research interests include networked control systems and robust control.

Xisheng Zhan is a professor in the College of Mechatronics and Control Engineering, Hubei Normal University. He received his B.S. and M.S. degrees in control theory and control engineering from the Liaoning Shihua University, Fushun, China, in 2003 and in 2006, respectively. He received a Ph.D. degree in control theory and applications from the Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China, in 2012. His research interests include networked control systems, robust control, and iterative learning control.

Jie Wu is a professor in the College of Mechatronics and Control Engineering, Hubei Normal University. She received her B.S. and M.S. degrees in control theory and control engineering from the Liaoning Shihua University, Fushun, China, in 2004 and in 2007, respectively. Her research interests include networked control systems, robust control, and complex network.

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Li, Q., Yang, Q., Zhan, X. et al. Optimal Regulation Performance of MIMO Networked Time-delay Systems With Limited Bandwidth and Interference Signals. Int. J. Control Autom. Syst. 22, 387–395 (2024). https://doi.org/10.1007/s12555-022-0537-2

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  • DOI: https://doi.org/10.1007/s12555-022-0537-2

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