An LMI-based H∞ fuzzy control system design with TS framework
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This paper proposes a systematic design methodology for Takagi-Sugeno (TS) model based fuzzy control systems with guaranteed H∞ performance and additional constraints on the closed-loop pole locations. These objectives are formulated in terms of a convex optimization problem involving linear matrix inequality (LMI). To demonstrate its usefulness, the proposed design methodology is applied to the problem of robust regulation of a nonlinear magnetic bearing system. Experimental and simulation results show that the proposed fuzzy controller yields the optimal disturbance rejection performance and the desired transient response characteristics.
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