线性时滞不确定系统的记忆与无记忆复合控制器设计

Compound Memory and Memoryless Controller Design for Linear Unceritain Time-delayed Systems

研究了一类时变滞后的不确定线性系统的控制综合问题。基于Lyapunov方法提出了一种含滞后补偿的鲁棒控制设计方法,给出了一个使得系统鲁棒稳定的包含无记忆和有记忆的状态反馈控制器。提出一种新的凸优化算法用于复合控制器设计,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。

<Abstrcat>This paper deals with the synthetic control problem for a class of uncertain linear systems with a time-varying delay.A designing method of robust control including delay compensation based on Lyapunov method is proposed and, what is more, a state feedback controller with compound memory and memoryless is given. A new algorithm involving convex optimization is proposed to design a compound memory and memoryless controller guaranteeing a suboptimal maximal delay such that the systems can be stabilized for all admissible uncertainties.