Abstract
Deals with design procedures for fuzzy regulators and fuzzy observers, which are the most important and basic concepts for fuzzy control system design. First, a design problem for a fuzzy regulator which consists of fuzzy state feedback laws is solved by extending the idea of modem control theory. Next, the concept of a fuzzy observer, which estimates the states of fuzzy dynamic plants, is introduced. Finally, a design algorithm for a fuzzy control system containing a fuzzy regulator and a fuzzy observer is constructed. The fuzzy regulator guarantees the stability of the fuzzy control system in accordance with the definition of stability in the sense of Lyapunov. The fuzzy observer guarantees that the estimation error for the states of the fuzzy dynamic plants converges to zero. The 'separate theorem', which guarantees that one should be able to design regulators and observers separately, cannot be applied to the case of the design of fuzzy regulators and fuzzy observers. >
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