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Asynchronous Switching Control for Continuous-time Switched Linear Systems with Output-feedback

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  • Control Theory and Applications
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Abstract

This paper investigates the asynchronous switching control problem for continuous-time switched linear systems via dynamic output-feedback, where the dynamic output-feedback controller contains an impulsive reset law to reset the controller state. A time-varying multiple Lyapunov-like-function (MLF) approach is employed to analyze the stability and weighted L2-gain of the closed-loop systems. The switching stability criteria for the closed-loop systems are established in terms of linear matrix inequalities (LMIs), which are dependent on the upper and lower bounds of the switching interval and the asynchronous delays. The switching logic is designed to guarantee the closed-loop systems achieving the weighted L2-gain performance. Two numerical examples are provided to show the effectiveness of the proposed method.

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Author information

Authors and Affiliations

  1. School of Automation Science and Electrical Engineering, Beihang University, Beijing, 100083, China

    Zhiyong Jiang

  2. School of Automation Science and Electrical Engineering, Beihang University, Beijing, 100083, China

    Peng Yan

  3. Key Laboratory of High-efficiency and Clean Mechanical Manufacture, Ministry of Education, School of Mechanical Engineering, Shandong University, Jinan, Shandong, 250061, China

    Peng Yan

Authors
  1. Zhiyong Jiang
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  2. Peng Yan
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Corresponding author

Correspondence to Peng Yan.

Additional information

Recommended by Associate Editor Andrea Cristofaro under the direction of Editor Myo Taeg Lim. This work was supported in part by the National Natural Science Foundation of China under Grants 61327003 and 51775319.

Zhiyong Jiang received the B.S. degree in information and computing science from Hunan university of Arts and Science, Changde, China, in 2012, and the M.S. degree in operational research and cybernetics from Guangxi University, Nanning, China, in 2015. He is currently pursuing the Ph.D. degree at the School of Automation Science and Electrical Engineering, Beihang University, Beijing, China. His research interests include complex dynamical networks, hybrid systems, impulsive control, and anti-windup control.

Peng Yan received the B.S. and M.S. degrees in electrical engineering from Southeast University, Nanjing, China, in 1997 and 1999, respectively, and the Ph.D. degree in electrical engineering from The Ohio State University, Columbus, OH, in 2003. He is currently a full Professor with the School of Mechanical Engineering, Shandong University, Jinan, China, and also with the School of Automation Science and Electrical Engineering, Beihang University, Beijing, China. He has worked with various industry positions before joining Shandong University, including a Staff Scientist at United Technologies Research Center at East Hartford, CT, from 2010 to 2011, and a Senior Staff Engineer at Seagate Technology at Twin Cities, MN from 2005 to 2010. His current research interests include robust control, hybrid systems, and control of high precision mechatronics. He has authored more than 70 scientific papers, and more than 30 granted/pending patents.

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Jiang, Z., Yan, P. Asynchronous Switching Control for Continuous-time Switched Linear Systems with Output-feedback. Int. J. Control Autom. Syst. 16, 2082–2092 (2018). https://doi.org/10.1007/s12555-017-0662-5

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  • DOI: https://doi.org/10.1007/s12555-017-0662-5

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