摘要
针对仿射参数不确定性和范数有界不确定性 ,研究具有状态和控制时滞的不确定线性系统的鲁棒镇定问题·基于Lyapunov泛函 ,利用线性矩阵不等式给出了系统可由状态反馈鲁棒镇定的充分条件 ,并且利用线性矩阵不等式的解构造了状态反馈控制律·所得线性矩阵不等式直接保证Lyapunov泛函对时间的导数为负 ,降低了控制器设计的保守性·最后 ,给出两个算例说明本文方法的有效性·
The robust stabilization problem was studied for uncertain linear systems with delayed state and control subject to affine parameter uncertainties and norm-bounded uncertainties. Based on the Lyapunov functional, sufficient conditions for the robust stabilization via state feedback were presented in terms of linear matrix inequalities. A state feedback control law was constructed by using the solutions of the linear matrix inequalities. The linear matrix inequalities directly guarantee the negativeness of the time derivative of the Lyapunov functional, and reduce the conservativeness of the controller design. Two examples were given to illustrate the effectiveness of the method.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2001年第3期265-267,共3页
Journal of Northeastern University(Natural Science)
基金
教育部'跨世纪优秀人才培养计划'基金资助!项目 ( 1993 4 5 )
国家自然科学基金!资助项目 ( 699740 0 7)
教育部归国留学人员
关键词
不确定线性系统
时滞
鲁棒镇定
线性
矩阵不等式
uncertain linear systems
delay
robust stabilization
linear matrix inequalities
