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针对应用公共Lyapunov函数方法、模糊Lyapunov函数方法和分段模糊Lyapunov函数方法进行T-S模糊系统稳定性分析的保守性问题,通过定义有效最大交叠规则组,并基于离散型分段模糊Lyapunov函数,提出一个判定开环离散T-S模糊系统稳定性的充分条件.该条件仅需在每个有效最大交叠规则组内分别满足模糊Lyapunov方法中的条件,从而降低上述判定方法的保守性和难度.仿真实例验证了所提出条件的有效性和优越性.
Aiming at the problem of the conservativeness of the stability analysis of TS fuzzy systems by applying the common Lyapunov function method, the fuzzy Lyapunov function method and the piecewise fuzzy Lyapunov function method, the effective maximum overlap rule group is defined and based on the discrete piecewise fuzzy Lyapunov function A sufficient condition for the stability of open-loop discrete TS fuzzy systems is given, which satisfies the conditions in the fuzzy Lyapunov method for each valid maximum overlap rule group, thus reducing the conservativeness and difficulty of the above decision method. Validated the validity and superiority of the proposed conditions.