2次形式評価関数とロバスト性を考慮したファジィシステムの混合設計問題

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  • Design of Fuzzy Control Systems Based on Quadratic Performance Function and Robust Stability
  • 2ジ ケイシキ ヒョウカ カンスウ ト ロバストセイ オ コウリョ シタ ファ

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This paper presents a systematic design of fuzzy control systems based on quadratic performance function and robust stability. First, robust stability conditions for a class of uncertain fuzzy systems are derived. An LMI-based approach is employed to design a robust fuzzy controller. Next, a fuzzy controller design based on quadratic performance indexes is realized by solving a minimization problem of the upper bound of a give quadratic performance index. Furthermore, a mixed control problem that simultaneously considers both of them is defined and solved efficiently by derived LMI conditions. Finally, a design example, stabilization of an inverted pendulum system, shows the effect of the proposed design method.

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