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Stability analysis of periodic triggering reset control systems

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Abstract

In most literature related to reset control, the reset actions are triggered by continuous monitoring triggering reset conditions, which is not suitable for computer-based implementation. This paper considers periodic triggering reset control, where the reset actions are only triggered at periodically sampling instants. Hybrid system approach is given to analyze the asymptotic stability and L 2 gain property, and less conservative switched system approach is presented for asymptotic stability analysis. The comparison of the two approaches is discussed. Moreover, novel reset conditions are given to improve the overshoot performance. Simulations are presented to support our results.

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Authors and Affiliations

  1. Department of Automation, Shanghai Jiao Tong University, and Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai, 200240, China

    Guanglei Zhao, Jingcheng Wang & Bin Zhang

Authors
  1. Guanglei Zhao
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  2. Jingcheng Wang
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  3. Bin Zhang
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Corresponding author

Correspondence to Jingcheng Wang.

Additional information

Recommended by Associate Editor Izumi Masubuchi under the direction of Editor Yoshito Ohta.

This work was supported by National Natural Science Foundation of China (No. 61174059,61233004,61433002), National 973 Program of China (No. 2013CB035406), and the ASPIRE grant at the University of South Carolina.

Guanglei Zhao received his M.S. degree in Systems Engineering from Huazhong University of Science and Technology, Wuhan, China in 2009. He is currently a Ph.D. student in the Department of Automation, Shanghai Jiao Tong University. His research interests include hybrid systems, reset control and networked control systems.

Jingcheng Wang received his M.S. degree from the Department of Control at Northwestern Polytechnical University, Xi’an, China, in 1995. He received his Ph.D. degree in Industrial Automation from Zhejiang University, Hangzhou, China, in 1998. He is a former research fellow of Alexander von Humboldt Foundation in Rostock University, Germany, and he is now a professor in Shanghai Jiao Tong University. His research interests include robust control, network control systems and process control.

Bin Zhang received his B.E. and M.E. degrees from Nanjing University of Science and Technology, Nanjing, China, in 1993 and 1999, respectively, and his Ph.D. degree from Nanyang Technological University, Singapore in 2007. He is currently with Department of Electrical Engineering, University of South Carolina, Columbia, SC. Before that, he was with General Motors R&D, Detroit, MI, Impact Technologies, Rochester, NY, and Georgia Institute of Technology, Atlanta, GA. His research interests are prognostics and health management, resilient systems, and intelligent systems and controls.

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Zhao, G., Wang, J. & Zhang, B. Stability analysis of periodic triggering reset control systems. Int. J. Control Autom. Syst. 13, 788–797 (2015). https://doi.org/10.1007/s12555-014-0199-9

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  • DOI: https://doi.org/10.1007/s12555-014-0199-9

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