Continuity of Discrete-Time Fuzzy Systems
The purpose of this study is to prove the existence of IF-THEN fuzzy rules which minimize the performance functional of the nonlinear discrete-time feedback control. In our previous study, the problem of fuzzy optimal control was considered as the problem of finding the minimum (maximum) value of the performance function with fuzzy approximate reasoning. This study analyzes a discrete-time system to make numerical simulation of a real model more simple and fast. A continuity of fuzzy approximate reasoning on the compact set of membership functions selected from continuous function space guarantees an optimal control.
KeywordsApproximate reasoning method discrete-time fuzzy systems functional analysis calculus of variations
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