Stability Analysis of Time-Delay Fuzzy Systems Using Fuzzy Lyapunov Method

K. Yeh, Cheng-Wu Chen, Shu-Hao Lin, Chen-Yuan Chen
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引用次数: 1

Abstract

This study presents an H-infinite controller design for time-delay Takagi-Sugeno (T-S) fuzzy systems based on the fuzzy Lyapunov method, which is defined in terms of fuzzy blending quadratic Lyapunov functions. The delay-dependent robust stability criterion is derived in terms of the fuzzy Lyapunov method to guarantee the stability of time-delay T-S fuzzy systems subjected to disturbances. Based on the delay-dependent condition and parallel distributed compensation (PDC) scheme, the controller design problem is transformed into solving linear matrix inequalities (LMI).
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用模糊李雅普诺夫方法分析时滞模糊系统的稳定性
本文提出了一种基于模糊Lyapunov方法的时滞Takagi-Sugeno (T-S)模糊系统的h -∞控制器设计,该方法由模糊混合二次Lyapunov函数定义。为了保证时滞T-S模糊系统在扰动作用下的稳定性,利用模糊Lyapunov方法导出了时滞相关的鲁棒稳定性判据。基于时滞相关条件和并行分布补偿(PDC)方案,将控制器设计问题转化为求解线性矩阵不等式(LMI)。
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