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针对一类区间时变时滞T-S模糊系统,研究了其时滞相关渐近稳定性以及控制器设计问题。基于Lyapunov稳定性理论和线性矩阵不等式(LMI)工具,并结合自由权矩阵方法,设计一个包含时滞区间均值在内的新Lyapunov-Krasovskii泛函,给出了改进的时滞T-S模糊系统渐近稳定的时滞相关准则。同时,根据并行分布补偿算法,给出了带有记忆的状态反馈模糊控制器的设计方法。最后,实例仿真表明了方法的有效性。
For a class of interval time-varying T-S fuzzy systems with time-varying delays, the asymptotic stability and the controller design problems are studied. Based on the Lyapunov stability theory and the linear matrix inequality (LMI) tool, a new Lyapunov-Krasovskii functional involving a mean interval of time lag is designed based on the free weight matrix method. An improved TS fuzzy system with asymptotic delay is given Stable delay-related criteria. At the same time, according to the parallel distributed compensation algorithm, a design method of state feedback fuzzy controller with memory is given. Finally, the simulation results show that the method is effective.