Stability analysis of fuzzy multivariable systems: vector Lyapunov function approach

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.