一类时变多时滞系统的观测器设计

Observer Designing for a Class of Time-varying Multi-delay System

本文为一类含有不确定项的时变多时滞系统,设计了观测器.利用观测器状态进行反馈控制,使闭环系统渐近稳定,并且对于允许的不确定性满足范数有界.观测器和控制器的设计可通过解两个线性矩阵不等式(LMI)得到.所得结果依赖于时滞的上界及其导数的上界,具有较小的保守性.数值算例验证了设计方法的有效性.

In this paper, an observer controller is designed for a class of time-varying multi-delay system.Based on the observer states, the system is stabilized and a controller is proposed to guarantee the closed-loop system to satisfy norm-bounded for all admissible uncertainties.The observer and controller can be obtained by solving two LMI.The result obtained depends on delay bound and maxim of delay differential.An example is given to illustrate the effectiveness of the proposed method.