时滞奇异摄动控制系统稳定性分析

Stability Analysis for Singularly Perturbed Control System with Time-delay

研究一类带有时变时滞奇异摄动控制系统的鲁棒稳定性分析问题,运用状态空间方法,构造一种新的李雅普诺夫泛函,给出了基于线性矩阵不等式形式的鲁棒稳定性判据.该方法不依赖于系统分解,适用于标准和非标准的鲁棒性能分析问题.

The paper studies a class of singular perturbation control system with time-varying delay stability problems, we use the state space method by constructing a new Lyapunov-Krasovskii functionals based on linear matrix inequality （LMI） given in the form of delay dependent and delay independent robust stability criterion. This method does not depend on system decomposition, which applies to both standard and non-standard robust performance analysis of the problem.