Abstract
For a discrete-time system modeled by fuzzy implications, a state x f is reachable from another state x 0 if there exists a sequence of control signals to drive the fuzzy model from x 0 to x f at some final time instant. It will be shown that if the product-operation rule, the exponential shape membership functions, and the center-of-area defuzzification method are used, then the state reachability problem of fuzzy models can be resolved by solving a sequence of nonlinear programming problems. If the objective function of any of the nonlinear programming problems is found to be zero, then the state x f is reachable from the state x 0 and the corresponding control signals can be determined. Otherwise, x f is unreachable from x 0 and there exists no control signals to drive the fuzzy model from x 0 to x f .
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