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Output Feedback Passification for Switched Discrete-time Nonlinear Systems and Adaptive Control System Design

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  • Control Theory and Applications
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Abstract

This paper concerns output feedback passification and adaptive output feedback stabilization problems of switched discrete-time nonlinear systems. First, passivity concept is proposed to describe the overall passivity of switched discrete-time nonlinear system without requiring the passivity of active subsystems. Then, the conditions to be passive for such system are provided. Second, the output feedback passification is achieved under a given switching signal, when switched zero dynamics system is passive. Furthermore, adaptive output feedback stabilization problem is solved by using the output feedback passification method. Third, a time-dependent switching signal is designed to guarantee switched zero dynamics system passive. Finally, two examples are presented to verify the effectiveness of the proposed methods.

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Author information

Authors and Affiliations

  1. College of Science, Liaoning University of Technology, Jinzhou, China

    Hongbo Pang & Shengnan Tan

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

    Shuo Liu

Authors
  1. Hongbo Pang
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  2. Shengnan Tan
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  3. Shuo Liu
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Corresponding author

Correspondence to Hongbo Pang.

Additional information

This work was supported by Education Scientific Research funding project Foundation of Liaoning Province: JQL202015408, and in part by Doctoral Scientific Research Foundation of Liaoning Province 2019-BS-122 and the Natural Scientific Research Foundation Guiding Plan of Liaoning Province 2019-ZD-0698.

Hongbo Pang received his Ph.D. degree in control theory and control engineering from the College of Information Science and Engineering in the School of Northeastern University, Shenyang, China, in 2016. He is now working in the College of Science, Liaoning University of Technology, Jinzhou, China. His research interests include switched systems, nonlinear systems, and adaptive control.

Shengnan Tan received her Master’s degree in mathematics from the College of Science, Liaoning University of Technology, Jinzhou, China. Her research interests include dissipativity of switched nonlinear systems and adaptive control.

Shuo Liu received her Master’s degree in mathematics from the College of Science in the School of Northeastern University, Shenyang, China, in 2006. She is now working in the College of Science, Liaoning University of Technology, Jinzhou, China. Her current research interests include switched systems, nonlinear systems, robust control, and adaptive control.

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Pang, H., Tan, S. & Liu, S. Output Feedback Passification for Switched Discrete-time Nonlinear Systems and Adaptive Control System Design. Int. J. Control Autom. Syst. 20, 1914–1925 (2022). https://doi.org/10.1007/s12555-021-0374-8

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