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Observer-based adaptive arbitrary switching fuzzy tracking control for a class of switched nonlinear systems

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  • Control Theory
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Abstract

This paper focuses on the output tracking problem for a class of uncertain switched nonlinear systems with arbitrary switching signal and unavailable states. By designing a proper reduced-order observer and introducing fuzzy approximation, a systematic adaptive domination recursive method is presented to explicitly construct a common smooth dynamic output feedback controller, such that under arbitrary switching, all error variables of the corresponding closed-loop switched systems are semi-globally, uniformly, and ultimately bounded (SGUUB), as well as the tracking error may be adjusted to a small neighborhood of the origin. Compared with the existing results, the proposed control scheme overcomes the restrictions on nonlinear functions of systems only relating to the output variable and switching signal subjecting to certain dwell time. Its effectiveness and feasibility are demonstrated by both a numerical example and a chemical system.

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Authors and Affiliations

  1. College of Electrical Engineering and College of Sciences, Yanshan University, Qinhuangdao, 066004, China

    Chun-Yan Wang

  2. College of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, China

    Xiao-Hong Jiao

Authors
  1. Chun-Yan Wang
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  2. Xiao-Hong Jiao
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Corresponding author

Correspondence to Xiao-Hong Jiao.

Additional information

Recommended by Editor Ju Hyun Park.

This journal was supported by the Ph.D. Programs Foundation of Ministry of Education of China under Grant 20111333110001, and the Science and Engineering Foundation(B) for the young teachers of Yanshan University, China under granted 14LGB026.

Chun-Yan Wang received her M.S. degree in Operational Research and Cybernetics from Yanshan University in 2004. She is a teacher in College of Sciences and pursuing a Ph.D. degree in Control Science and Control Engineering of Yanshan University. Her research interests include robust and adaptive control of switched systems.

Xiao-Hong Jiao received her Ph.D. degree in Mechanical Engineering from Sophia University, Tokyo, Japan, in 2004. She is a Professor with the Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China. Her current research interests include robust adaptive control of nonlinear systems and time-delay systems and applications to hybrid distributed generation systems and automotive powertrain.

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Wang, CY., Jiao, XH. Observer-based adaptive arbitrary switching fuzzy tracking control for a class of switched nonlinear systems. Int. J. Control Autom. Syst. 13, 823–830 (2015). https://doi.org/10.1007/s12555-014-0222-1

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  • DOI: https://doi.org/10.1007/s12555-014-0222-1

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