一类不确定时滞奇异系统的鲁棒非脆弱控制

Robust and Non-fragile Control for a Class of Uncertain Singular Time Delay Systems

针对不确定奇异时滞系统,研究了鲁棒非脆弱控制问题。假定不确定性范数有界,设计了基于观测器的控制器,使得闭环系统在不确定性影响下保持鲁棒稳定。仅通过求解相应线性矩阵不等式就可得到鲁棒状态反馈控制器,该控制器不仅对所有容许的系统不确定性使相应的闭环系统渐近稳定,而且满足控制器本身是非脆弱的,达到抑制干扰的效果。

The robust and non-fragile of the singular time delay systems is studied, Parametric uncertainty is assumed to be norm bounded. The observer-based controller is designed so that the resulting closed-loop system with uncertainty is robust stable. Robust state feedback controller can be obtained only by solving LMI. The eontrouer can make the closed-loop system asymptotically stable for all admissible uncertainties, and the controller is non-fragile and achieve disturbance attenuation.