时滞不确定Lurie系统的鲁棒绝对稳定性准则

摘要

研究一类具有时变时滞的范敷有界结构不确定性Lurie控制系统的鲁棒绝对稳定性问题.利用Lyapunov-Krasovskii泛函方法,分别给出系统在无限扇形及有限扇形角内绝对稳定的时滞相关充分条件,所给的判定条件是线性矩阵不等式(LMI)形式的,可以很方便地运用Matlab工具葙求解.两个数值实例表明,本文所给条件是有效及可行的.%The problem of robust absolute stability for time-varying delay Lurie systems with structured uncertainty is investigated. Using Lyapunov-Krasovskii function method, two delay-dependent criterions forabsolute stability of systems in infinite sector and finite sector is respectively given. The proposed condition is in terms of a linear matrix inequality(LMI)which can be easily solved by Matlab toolbox. Two illustrative example shows that the condition obtained in this paper is effective and feasible.