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Abstract

A fuzzy dynamical system approach is applied to the observer design of uncertain systems. In the fuzzy dynamical system, the uncertainty lies within a fuzzy set. The desirable system performance is twofold: one deterministic and one fuzzy. While the deterministic performance ensures the bottom line, the fuzzy performance enhances the cost consideration. Based on the output, an observer is proposed in order to estimate the state. The observer design is deterministic and is not IF-THEN rules-based. To improve the performance, a constrained optimization problem associated with the design is formulated. The problem can be solved analytically and its solution exists and is unique. The closed forms of the solution and the resulting minimum cost are presented.

Keywords

fuzzy dynamical systems fuzzy set theory observer optimal design

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Fuzzy dynamical system approach to the observer design of uncertain systems

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