网络环境下切换模糊时滞系统的非脆弱控制

Non-Fragile Control of Switched Fuzzy Time-Delay Systems in Network Environment

针对一类控制器增益存在摄动的非线性网络切换系统,在系统同时存在随机时变时滞和不确定性的情况下,采用T-S模型建模,研究系统的稳定控制问题。利用平均驻留时间(ADT)法设计系统的切换律及非脆弱状态反馈控制器,并给出网络切换模糊时滞系统指数稳定的平均驻留时间条件。结合李雅普诺夫函数(LKF)法,推导时滞相关的网络切换模糊系统指数稳定的矩阵不等式条件,并将此条件转化为线性矩阵不等式形式。通过数值仿真对比系统在采用ADT法与传统LKF法下的状态曲线,结果表明,ADT法可以使系统收敛速度更快,性能指标更好。

Aiming at the nonlinear network switched system whose controller gain is perturbed,this paper adopts the T-S model to study the stability control problem of the system under the condition that both random time-varying delay and uncertainty exist.The switching law and non-fragile feedback controller of the system are designed by using Average Dwell Time(ADT)method.The ADT condition of the exponential stability for network switched fuzzy time-delay system is given and the matrix inequality condition is derived by combining the Lyapunov-Krasovskii Function(LKF)method.Then the matrix inequality condition is transformed into the form of Linear Matrix Inequality(LMI),and the state curves of the system under ADT method and LKF method are compared by using numerical simulation.The results show that the ADT method can improve the convergence speed and performance index of the system.