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Robust H-infinity integral sliding mode control for a class of uncertain switched nonlinear systems

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Abstract

This paper develops a new method to deal with the robust H-infinity control problem for a class of uncertain switched nonlinear systems by using integral sliding mode control. A robust H-infinity integral sliding surface is constructed such that the sliding mode is robust stable with a prescribed disturbance attenuation level γ for a class of switching signals with average dwell time. Furthermore, variable structure controllers are designed to maintain the state of switched system on the sliding surface from the initial time. A numerical example is given to illustrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian Liaoning, 116024, China

    Jie Lian

  2. Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Shenyang Liaoning, 110004, China

    Jie Lian & Jun Zhao

Authors
  1. Jie Lian
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  2. Jun Zhao
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Corresponding author

Correspondence to Jie Lian.

Additional information

This work was partly supported by the National Natural Science Foundation of China (No.60874024, 60574013).

Jie LIAN received the Ph.D. degree in Control Theory and Control Engineering from Northeastern University, Shenyang, China, in 2008. Her current research interests are switched systems, and sliding mode control.

Jun ZHAO was born in 1957. He received the Ph.D. degree in Control Theory and Applications from the Northeastern University, in 1991. From 1992 to 1993, he was a postdoctoral fellow at the same University. Since 1994, he has been with the College of School of Information Science and Engineering, and is currently a professor. From February 1998 to February 1999, he was a senior visiting scholar at the Coordinated Science Laboratory, University of Illinois, Urbana-Champaign, USA. He has held the positions of Research Fellow and Fellow in City University of Hong Kong and Australian National University, respectively. His current research interests include switched systems, nonlinear systems, and networked control systems.

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Lian, J., Zhao, J. Robust H-infinity integral sliding mode control for a class of uncertain switched nonlinear systems. J. Control Theory Appl. 8, 521–526 (2010). https://doi.org/10.1007/s11768-010-8007-4

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  • DOI: https://doi.org/10.1007/s11768-010-8007-4

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