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		Gang FENG.[en_title][J].Control Theory and Technology,2003,1(1):28~34.[Copy]

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H_∞ controller synthesis of piecewise discrete time linear systems

Gang FENG

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

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.

Key words: Controller design Discrete time systems Bilinear matrix inequality Piecewise linear systems Piecewise Lya-punov functions