基于观测器的网络切换模糊时滞系统鲁棒控制

Observer-based robust control for fuzzy time-delay systems with network switching

针对带有随机时变时滞的非线性网络切换系统稳定控制问题进行研究,在系统状态不可测且存在不确定性的情况下,采用T-S模型将非线性网络切换系统建模为网络切换模糊系统。然后,采用平均驻留时间法(ADT),设计出基于观测器的控制器及系统切换律,并给出网络切换模糊系统指数稳定的平均驻留时间条件。结合李雅普诺夫(LKF)方法给出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。最后通过MATLAB数值仿真验证了该设计方法的有效性和优越性。

Based on the T-S model modeling nonlinear network switching system as a network switch fuzzy system,studied the stability control problem of uncertain nonlinear network switched systems with random time-varying delay,in which the system state was unmeasurable. By using the average dwell time method( ADT),designed the observer-based controller and system switching law and presented the average dwell time condition of the exponential stability for network switched fuzzy system. By combining with Lyapunov( LKF) method,also presented the matrix inequality condition of exponential stability in the network switched fuzzy systems. Finally,a MATLAB numerical simulation example verifies the effectiveness and superiority of the design method.