具有α稳定裕度约束的一类不确定分段线性系统的镇定设计  

Stabilization for a Class of Uncertain Piecewise Linear Systems with α-Stability Constraint

作　　者：鹿宁[1] 唐英凯[1] 

机构地区：[1]天津大学管理学院,天津市博士研究生300072

出　　处：《中国农机化》2007年第2期66-70,共5页Chinese Agricul Tural Mechanization

摘　　要：针对一类系统矩阵、输入矩阵和仿射项中同时包含不确定项的分段线性系统,进行了闭环反馈镇定设计,并将闭环系统的极点配置到α稳定区域。将闭环系统的α稳定的极点配置问题转化成一组双线性矩阵不等式(bilinear matrix inequalities,BMI)的求解问题,对BMI问题采用混沌优化算法进行求解。最后的算例表明本文方法的有效性。The closed loop feedback stabilization for a class of uncertain piecewise linear systems with α-stability constraint is studied, and the uncertainties are contained both in system matrix, input matrix and offset tenn. It is shown that the α- stability condition for closed-loop uncertain piecewise linear systems can be cast as a set of bilinear matrix inequalities （BMI） problem which can be solved by chaos optimization algorithm. A numerical example is given to illustrate the effectiveness of the design method.

关 键 词：α稳定裕度 不确定分段线性系统 镇定 双线性矩阵不等式 混沌优化算法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]