摘要
基于稳定性理论,利用Lyapunov泛函和线性矩阵不等式处理方法,结合自由权矩阵思想,研究了一类多个范数有界不确定的线性时滞系统的H∞控制问题,给出系统具有H∞性能的一个线性矩阵不等式条件.所设计的控制器对于系统所允许的参数不确定性和时滞,能保证闭环系统渐近稳定且具有理想的性能指标.
Based on the stability theory, by using lyapunov functional and linear matrix inequality （LMI）,the problem of robust control for time-delay system with uncertainties is investigated. The sufficient condition of H∞ properties for the solutions to the problem is presented in terms of one LMI. And a state feedback controller is designed such that the resulting closed-loop system is asymptoticly stable and satisfies H∞ performance.
出处
《广西师范学院学报（自然科学版）》
2009年第3期21-25,共5页
Journal of Guangxi Teachers Education University(Natural Science Edition)
基金
国家自然科学基金(60864001)
广西自然科学基金(0640073
0679021
0679024)
