摘要
针对一般广义不确定周期时变系统存在鲁棒稳定性问题,根据一般广义周期时变系统的Lyapunov不等式,提出一般广义不确定周期时变系统鲁棒稳定的概念,并采用矩阵不等式(LMI)方法进行分析,得到了该类系统鲁棒稳定的充分必要条件.研究了在状态反馈控制下保证闭环系统鲁棒稳定的条件,给出了一组状态反馈鲁棒控制器的设计方法;引入了一般广义不确定周期时变系统二次稳定的概念,讨论了二次稳定性与鲁棒稳定性的关系,是广义定常系统相应结论向一般广义周期系统的自然推广.
Aiming at the problem of robust stability existing in general periodically time-varying uncertain descriptor systems, the definition of robust stability was put forward based on the Lyapunov inequality for general periodically time-varying descriptor systems. By using linear matrix inequalities, a necessary and sufficient condition for the systems to be robust stable was obtained. The condition to ensure robust stability of the close-loop system under state feedback control was considered, and the design methods for state feedback robust controllers were presented. Finally, the definition of the quadratic stability was introduced, and the relation between the quadratic stability and robust stability of the systems was discussed. The results are the natural extension from time-invariant descriptor system to general periodically time-varying descriptor systems.
出处
《沈阳工业大学学报》
EI
CAS
2009年第1期93-97,共5页
Journal of Shenyang University of Technology
基金
辽宁省教育厅基金资助项目(2008504)
辽宁省自然科学基金资助项目(20041024)
关键词
广义周期系统
鲁棒稳定性
矩阵不等式
状态反馈
鲁棒控制器
二次稳定性
periodically descriptor systems
robust stability
linear matrix inequality
state feedback
robust controller
quadratic stability