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Robust Control for Fuzzy Dynamical Systems: Uniform Ultimate Boundedness and Optimality

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3 Author(s)
Jin Huang ; State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, China ; Ye-Hwa Chen ; Aiguo Cheng

We propose a new approach for the control design of fuzzy dynamical systems. The system may contain uncertainty, which includes unknown parameter and input disturbance. The uncertainty lies within a prescribed fuzzy set. The control structure is deterministic, and, hence, not if-then rule-based. The desired controlled system performance includes uniform boundedness and uniform ultimate boundedness. In addition, we propose a quadratic cost index, which reflects the fuzzy system performance. We then formulate a control parameter design problem as a constrained optimization problem. It is proven that the global solution to this problem always exists and is unique. The closed-form solution and the closed-form minimum cost are derived.

Published in:

IEEE Transactions on Fuzzy Systems  (Volume:20 ,  Issue: 6 )