摘要
研究对具有多个时滞变化的连续时间线性系统的α-稳定性问题,给出了对于给定的线性时滞系统的所有极点分布在复平面的特定区域的充分条件.这个条件可以通过LMI(线性矩阵不等式)工具箱来解.同时研究设计一个状态反馈控制器,使得闭环系统是α-能稳定的,并且通过LMI的方法给出了控制器存在的条件和利用LMI的解给出了控制器的设计方法.最后给出了一个数值例子验证了结果的正确性.
In this paper,α- stability analytical problem of linear continuous-time systems with multiple time-varying delays is addressed. A sufficient condition to guanrantee all poles of a given linear time-delays system located in the specitied region is proposed. This condition can be solved using LMI toolbox. A state feedback controller is given to ensure the dosed system is α-stabilizable and the feedback controller existence condition has been obtained in terms of a linear matrix inequality （LMI）. A numerical example is also given to illustrate the effectiveness of the proposed method.
出处
《纺织高校基础科学学报》
CAS
2007年第2期156-159,185,共5页
Basic Sciences Journal of Textile Universities
基金
国家自然科学基金资助项目(10571114)
