具有输入时滞的不确定线性系统的鲁棒镇定

ROBUST STABILIZATION OF UNCERTAIN SYSTEMS WITH INPUT DELAY

研究了一类具有输入时变滞后的不确定线性系统的鲁棒控制器设计问题。以线性矩阵不等式的形式给出系统可镇定性的充分条件,系统的可镇定性不仅与输入时滞大小有关,而且与输入时滞的微分大小有关。一种新的凸优化算法被用于控制器设计,能保证在给定的不确定性范围内求得一个使系统镇定的次优解。

This paper is concerned with the problem for a class of uncertain linear systems with a time-varying delay. A sufficient condition of robust stabilization is presentded in the linear matrix inequality(LMI)form which is dependent on the size of time-delay and on the size of time-derivation. A new algorithm involving convex optimization is proposed to design the controller guaranteeing a suboptimal maximal delay such that the systems can be stabilized for all admissible uncertainties.