一类切换加性时滞系统的加权H_∞输出跟踪控制问题

Weighted H_∞ output tracking control for a class of switched systems with additive time-varying delays

针对一类线性切换加性时变时滞系统,讨论其加权H∞输出跟踪控制问题.将网络控制系统中的网络诱导延时和数据丢包问题归结为切换系统状态中的两个连续加性时变时滞,构造新的Lyapunov-Krasovskii泛函.通过设计满足平均驻留时间条件的切换信号和比例-积分控制器,并结合Jensen积分不等式,以线性矩阵不等式的形式给出了确保闭环系统指数稳定且满足H∞输出跟踪控制性能的充分条件,从而降低了计算的复杂性.最后,用一个仿真例子说明所得方法的有效性.

This paper deals with the weighted H∞, output tracking control for a class of switched sys terns with additive time-varying delays. By considering the network induced delays and packed drop- out of NCS as two additive continuous-time delays, a new type of Lyapunov-Krasovskii functional is founded. Combining with the Jensen integral inequality, less conservative the sufficient conditions for exponential stabilization and weighted H∞ output tracking control performance are developed for proportional-integral controller under witching rules with average dwell time via linear matrix inequalities. A example is presented to illustrate the feasibility of the proposed method.