中文摘要：

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.

英文摘要：

For the conservatism problem of stability analysis of T-S fuzzy systems with the common Lyapunov approach, the fuzzy Lyapunov approach and the piecewise fuzzy Lyapunov approach, this paper proposes a sufficient condition to check the stability of open-loop discrete T-S fuzzy systems based on the definition of the efficient maximal overlapped-rules group and the discrete piecewise fuzzy Lyapunov function. This condition only needs satisfying the condition of fuzzy Lyapunov approach in each efficient maximal overlapped-rule group. Therefore, the proposed condition is less conservative and difficult than former three approaches. A simulation example shows the effectiveness and advantage of the approach.