多面体不确定线性系统的鲁棒D-稳定研究  

Study on robust D-stability of polytopic uncertain systems

作　　者：仇计清[1] 张金会[1] 高志峰[1] 杨洪玖[1] 

机构地区：[1]河北科技大学理学院,河北石家庄050018

出　　处：《河北科技大学学报》2006年第2期119-121,共3页Journal of Hebei University of Science and Technology

基　　金：河北省自然科学基金资助项目(603384)

摘　　要：针对一类多面体不确定线性系统给出一种新的鲁棒D-稳定的充分条件,该条件可以由一族线性矩阵不等式(LM Is)的可行解得到,而这族LM Is可以由多面体的顶点描述。通过引入参数相关Lyapunov函数使得该条件的保守性降低,与其他条件相比这个条件具有更广泛的适用性,推广并改进了现有成果。In this paper,a new sufficient LMIs condition for the robust gstability is established with respect to polytopic uncertain systems. The robust stability of the uncertain systems can be verified by means of the feasibility of a set of LMIs described only in terms of the vertices of the polytopic domain. This approach is less conservative than quadratic stability by using a parameter-dependent Lyapunov function,and extends the results of the related references.

关 键 词：鲁棒D-稳定 线性矩阵不等式(LMIs) 参数相关Lyapunov函数 多面体不确定 

分 类 号：O231[理学—运筹学与控制论]