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State tracking model reference adaptive control for switched nonlinear systems with linear uncertain parameters

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Abstract

Model reference adaptive control (MRAC) is considered for a class of switched nonlinear systems in which the unknown parameters appear linearly. The linear uncertain parameters in each subsystem can be expressed as a vector and the uncertain vectors in different subsystems are estimated individually by different vector variables. Update laws are designed such that the parameter estimation will ‘freeze’ until its corresponding subsystem is active. Controllers for subsystems are given to ensure asymptotic states tracking under arbitrary switchings. Two examples are presented to validate the proposed method.

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Authors and Affiliations

  1. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang Liaoning, 110004, China

    Xia Wang, Jun Zhao & Yujun Tang

  2. College of Electronic and Informational Engineering, Hebei University, Baoding Hebei, 071002, China

    Xia Wang & Yujun Tang

Authors
  1. Xia Wang
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  2. Jun Zhao
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  3. Yujun Tang
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Corresponding author

Correspondence to Xia Wang.

Additional information

This work was supported by the National Natural Science Foundation of China (Nos. 61174073, 90816028), and the Youth Foundation of Hebei University (No. 2008Q40).

Xia WANG is a Ph.D. candidate at the College of Information Science and Engineering, Northeastern University. Her research interests include switched systems and adaptive control.

Jun ZHAO is a professor at Northeastern University. His main research interests include switched systems, hybrid control, nonlinear systems and robust control. From February 1998 to February 1999, he was a senior visiting scholar at the Coordinated Science Laboratory, University of Illinois, Urbana-Champaign. From November 2003 to May 2005, he was a research fellow in the Department of Electronic Engineering, City University of Hong Kong.

Yujun TANG is an instructor at Hebei University. His research interests include system stability and adaptive control.

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Wang, X., Zhao, J. & Tang, Y. State tracking model reference adaptive control for switched nonlinear systems with linear uncertain parameters. J. Control Theory Appl. 10, 354–358 (2012). https://doi.org/10.1007/s11768-012-1018-6

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  • DOI: https://doi.org/10.1007/s11768-012-1018-6

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