| The development of fuzzy control theory and nonlinear control theory is introduced firstly. And then the author' own understanding is presented. Meanwhile, the fundamental thought: combining with matrix theory, we study nonlinear problem by utilizing fuzzy control theory.TS fuzzy system is studied and we found out that all of relevant researches focus only on the P state feedback controller. In this paper we introduce differential state feedback in fuzzy system for the first time and analyze the stability of the whole system efficiently. The design methodology finally comes down to the choice of some coefficients to satisfy so-called Y2-condition. An application example on stabilizing a nonlinear mass-spring-damper system will be given. |
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