基于动态输出反馈控制器的变时滞Lurie不确定系统的鲁棒H_∞控制

The Robust H_∞ Control Based on Dynamic Output Feedback Controllers for Uncertain Lurie Systems with Time-Varying Delay

对于一类具有变时滞的Lurie不确定系统,利用Lyapunov-Krasovskii泛函、矩阵不等式方法、变量替换法和Schur补引理分析该系统的动态输出反馈鲁棒H_∞控制器的设计问题,使得该系统具有渐近稳定性和H_∞性能,并且给出了动态输出反馈H_∞控制器的参数化表示.通过数值例子验证了所得结论的可行性.

This paper is concerned with the H-infinity control problem based on dynamic output feedback controllers for a class of uncertain Lurie control systems with time-varying delay.Employed Lyapunov-Krasovskii function,Matrix inequality approach,Schur complement and Variable substitution method,In addition,the asymptotic stability of Lurie systems and H_∞ performance are analyzed.And H∞ controller is designed for the Lurie systems.The effectiveness of conclusion shows with numerical examples.