奇异系统时滞依赖的非脆弱鲁棒H_∞控制(英文)

Delay-dependent robust and non-fragile H_∞ control for uncertain singular system with time-varying delay

讨论了不确定时变时滞奇异系统的H∞控制问题,同时考虑到对象和控制器本身的确定性,选取了适当的Lyapunov函数,给出了不确定时变时滞奇异系统存在时滞依赖鲁棒H∞控制器的充分条件。基于线性矩阵不等式的设计方法,数值算例进一步验证了方法的有效性。

The robust and non-fragile H∞ control problems for a class of uncertain descriptor systems with varying-time delay are described. Systems with norm-bounded parameter uncertainties are considered and two types of uncertainties which perturb the gains of control are obtained. Some conditions for the existence of robust and non-fragile H∞ controllers which ensure asymptotic stability and a prescribed H∞ performance level of the closed-loop system for all admissible uncertainties, are presented. A numerical example is given to illustrate the method.