Analysis of the Fuzzy Controllability Property and Stabilization for a Class of T–S Fuzzy Models


During this paper, the controllability property for a class of Takagi-Sugeno (T-S) fuzzy models is analyzed, whereas a totally nonlinear stabilizer is meant in a sensible method. It is shown that international fuzzy stabilizers can be made in a nonconservative method by means that of a relatively easy approach. The existence of such controllers depends on the fuzzy controllability conditions, which are derived in a easy manner. The most advantage of the proposed approach is that the convergence of the closed-loop system will be imposed arbitrarily. Some examples are given so as to illustrate the validity of the strategy. Finally, the proposed controller is applied on an underactuated system called “pendubot” and also the results are compared with an stabilizer designed on the basis of LMIs.

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