摘要
利用线性矩阵不等式 ,通过引入广义二次可镇定且具有 H∞ 性能指标的概念 ,得到了在状态反馈作用下 ,参数不确定性奇异系统鲁棒 H∞ 控制律的存在条件 .所得的状态反馈控制律保证闭环系统正则、无脉冲、稳定且满足给定的 H∞
This paper is concerned with the problems of robust H∞ control for uncertain singular systems. The system under consideration is subjected to time-varying norm-bounded uncertainties in both state and input matrices. The problem is to design state feedback controllers in order that the closed-loop system is regular, impulse-free, as well as satisfying a prescribed H∞ control performance index. The necessary and sufficient conditions of the system with generalized quadratic stability and H∞ control performance are given. The desired robust H∞ state feedback control law can be constructed in terms of solutions to a certain linear matrix inequality.
出处
《自动化学报》
EI
CSCD
北大核心
2001年第3期397-400,共4页
Acta Automatica Sinica
基金
南京理工大学科研发展基金
国家教委博士点基金资助项目
