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Robust H ∞ static output feedback control of discrete-time switched polytopic linear systems with average dwell-time

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Abstract

This paper investigates the problem of robust exponential H ∞ static output feedback controller design for a class of discrete-time switched linear systems with polytopic-type time-varying parametric uncertainties. The objective is to design a switched static output feedback controller guaranteeing the exponential stability of the resulting closed-loop system with a minimized exponential H ∞ performance under average dwell-time switching scheme. Based on a parameter-dependent discontinuous switched Lyapunov function combined with Finsler’s lemma and Dualization lemma, some novel conditions for exponential H ∞ performance analysis are first proposed and in turn the static output feedback controller designs are developed. It is shown that the controller gains can be obtained by solving a set of linear matrix inequalities (LMIs), which are numerically efficient with commercially available software. Finally, a simulation example is provided to illustrate the effectiveness of the proposed approaches.

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Authors and Affiliations

  1. Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, 150001, China

    JianBin Qiu

  2. Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Kowloon, Hong Kong, China

    JianBin Qiu & Gang Feng

  3. Department of Precision Machinery and Instrumentation, University of Science and Technology of China, Hefei, 230026, China

    Jie Yang

Authors
  1. JianBin Qiu
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  2. Gang Feng
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  3. Jie Yang
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Correspondence to JianBin Qiu.

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Supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region of China under Project CityU/112907

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Qiu, J., Feng, G. & Yang, J. Robust H ∞ static output feedback control of discrete-time switched polytopic linear systems with average dwell-time. Sci. China Ser. F-Inf. Sci. 52, 2019–2031 (2009). https://doi.org/10.1007/s11432-009-0197-3

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  • DOI: https://doi.org/10.1007/s11432-009-0197-3

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