摘要
提出线性离散时滞系统的耗散控制问题 ,研究无记忆状态反馈控制律存在的条件及相应的控制器设计方法 ,以使相应的闭环系统渐近稳定 ,同时具有严格 (Q,S,R) -耗散性 .进一步考虑耗散的不确定性 ,研究不确定系统鲁棒严格耗散控制的分析与综合问题 .结果表明 ,鲁棒耗散控制器存在的条件和综合问题等价于线性矩阵不等式 (LMI)的可解性问题 .
This paper focuses on the problem of dissipative control for linear discrete-time systems with time-delay. The objective is to design memoryless state feedback controllers such that the closed-loop system achieves internal stability and strict (Q,S,R)-dissipativeness. The existence of the dissipative controller depends on the feasibility of linear matrix inequality (LMI), Furthermore, for uncertain systems characterized by dissipative uncertainty, the results of analysis and synthesis for robust dissipative strict control are then obtained in terms of LMI.
出处
《自动化学报》
EI
CSCD
北大核心
2002年第6期897-903,共7页
Acta Automatica Sinica
基金
国家自然科学基金重点项目 ( 6 9934 0 30 )
中国高等学校优秀青年教师教学和科研奖励基金
国家杰出青年基金资助
关键词
线性离散时滞系统
鲁棒控制
耗散性
时滞
状态反馈
线性矩阵不等式
Discrete time control systems
Linear control systems
Mathematical models
Robustness (control systems)
State feedback
Theorem proving
Uncertain systems
