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H∞ controller synthesis of piecewise discrete time linear systems

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Abstract

This paper presents an H∞ controller design method for piecewise discrete time linear systems based on a piecewise quadratic Lyapunov function. It is shown that the resulting closed loop system is globally stable with guaranteed H∞ performance and the controller can be obtained by solving a set of bilinear matrix inequalities. It has been shown that piecewise quadratic Lyapunov functions are less conservative than the global quadratic Lyapunov functions. A simulation example is also given to illustrate the advantage of the proposed approach.

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Authors and Affiliations

  1. Department of Manufacturing Engineering & Engineering Management, City University of Hong Kong, Tat Chee Ave., Kowloon, Hong Kong

    Gang Feng

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  1. Gang Feng
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Additional information

The work was partially supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China ( No. : CityU 1024/02E).

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Feng, G. H∞ controller synthesis of piecewise discrete time linear systems. J. Control Theory Appl. 1, 28–34 (2003). https://doi.org/10.1007/s11768-003-0005-3

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  • DOI: https://doi.org/10.1007/s11768-003-0005-3

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