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考虑具有时变时滞的Takagi-Sugeno模糊系统稳定性分析的问题。基于Lyapunov稳定性理论,定义一个新的Lyapunov-Krasovskii泛函,使用恰当的界定技术处理Lyapunov-Krasovskii泛函求导过程中产生的积分项,以线性矩阵不等式的形式给出一个决策变量少、运算效率高、保守性小的时滞相关稳定性准则;此外,在理论推导过程中避免了一些现有文献理论推导过程中出现的问题。最后通过给出的数例验证了该稳定性准则的有效性。
Consideration of the Stability Analysis of Takagi-Sugeno Fuzzy Systems with Time-varying Delay. Based on the Lyapunov stability theory, a new Lyapunov-Krasovskii functional is defined, and the integral term generated in the Lyapunov-Krasovskii functional derivation process is dealt with using appropriate demarcation techniques. A linear matrix inequality is given in the form of linear matrix inequalities. High efficiency and small conservative delay-dependent stability criterion. In addition, some problems in the existing literature theoretical derivation process are avoided in the process of theoretical derivation. Finally, the validity of this stability criterion is verified by the given examples.