Abstract
In this paper the output stabilization problem of Takagi–Sugeno fuzzy models is considered. First a natural form of observers for such models is given. Sufficient conditions for their asymptotic convergence are given which are dual to those for the stability of state feedback fuzzy controllers. We then show that a state feedback controller and an observer always yield a stabilizing output feedback controller provided that the stabilizing property of the control and the asymptotic convergence of the observer are guaranteed by the Lyapunov method using positive definite matrices. In this sense it is shown that the separation principle holds for Takagi–Sugeno fuzzy systems. Two design examples are given to illustrate the theory.
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