一类离散切换时滞系统的鲁棒无源控制

Robust passivity control for a class of discrete-time switched delay systems

研究了一类离散切换时滞系统的鲁棒无源性分析和综合问题.利用平均驻留时间方法、分段Lyapunov函数方法和自由权值矩阵方法,得出了系统在满足平均驻留时间的切换信号下的鲁棒指数稳定和无源的充分条件,并基于线性矩阵不等式得到可解性条件.数值仿真证明了所提方法的有效性.

The problems of robust passivity analysis and synthesis for a class of discrete-timeswitched delay systems are studied. Based on the average dwell time approach, the piecewise Lyapunov function method and the free-weighting matrix technique, the sufficient conditions of robust exponential stability and passivity are developed under switching signals with average dwell time. Then, the solvability conditions are given in terms of linear matrix inequalities （LMIs）. One numerical example illustrates the effectiveness of the proposed method.