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Stability analysis of fuzzy multivariable systems: vector Lyapunov function approach

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2 Author(s)
C. M. Cheng ; Dept. of Syst. & Control, New South Wales Univ., Sydney, NSW, Australia ; N. W. Rees

A design methodology for the stabilisation of a class of nonlinear systems which can be identified in the form of a fuzzy dynamic model is presented. The identified model is a fuzzy aggregation of a set of local linear models. The stability condition of the fuzzy model is devised by using the vector Lyapunov function approach and some important issues of stability analysis are discussed. A parameter optimisation algorithm is proposed to construct a set of local linear control laws for the fuzzy system. The performance of the fuzzy model based control technique is illustrated by a simulation example

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IEE Proceedings - Control Theory and Applications  (Volume:144 ,  Issue: 5 )