多时滞奇异摄动控制系统和保性能控制

Guaranteed Cost Control For Singular Perturbation Control Systems With Multiple Time Delay

本文针对在状态和控制输入中都含有时变时滞的不确定奇异摄动系统的保性能控制问题进行研究,结合Lyapunov稳定性理论和相关引理,设计一种新的二次L-Y性能指标,对时滞无关进行讨论,得到了闭环系统性能指标最小上界.设计了一个无记忆状态反馈控制器.系统的不确定性是范数有界形式,时滞是时变函数甚至可以是无界函数.

In this paper,the guaranteed cost control problem of the uncertain singular perturbation system with time-varying delays in state and control input is studied. Based on the Lyapunov stability theory and the related lemma,a new two time L-Y performance index is designed,and the delay independent is discussed,and the minimum upper bound of the performance index of the closed-loop system is obtained. A memoryless state feedback controller is designed. The uncertainty of the system is norm bounded form,time delay is a time-varying function and even an unbounded function.