Piecewise H infinity: controller design of discrete time fuzzy systems.

School of Electrical Engineering and Telecommunications, University of New South Wales, Sydney, 2052 Australia.
IEEE TRANSACTIONS ON CYBERNETICS (Impact Factor: 6.22). 03/2004; 34(1):682-6.
Source: PubMed


This paper presents a new H infinity controller design method for the discrete time fuzzy systems based on the piecewise Lyapunov functions. The basic idea of the proposed approach is to construct the controller for the fuzzy systems in such a way that a discrete time piecewise Lyapunov function can be used to establish the global stability with H infinity-disturbance attenuation performance of the resulting close loop fuzzy control systems. It is shown that the control laws can be obtained by solving a set of linear matrix inequalities (LMIs) that is numerically tractable with commercially available software. Numerical example is given to demonstrate the advantage of the proposed method.

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    • " , 2001a ) , ( Hong and Langari , 2000 ) , ( Johansson et al . , 1999 ) , ( Kim and Kim , 2001 ) , ( Kim and Kim , 2002 ) , ( Lian et al . , 2001 ) , ( Kung et al . , May 2005 ) , ( Ohtake et al . , Dec . 2003 ) , ( Tanaka and H . O . Wang , 2001 ) , ( Taniguchi and Sugeno , Jul . 2004 ) , ( Teixeira et al . , 2003 ) , ( Wang and Feng , 2004 ) , ( Wang et al . , 2004a ) , ( Wang et al . , 2003 ) y ( Wang and Sun , 2005 ) ."
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