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一类不确定分段线性系统的保性能控制
引用本文:王君. 一类不确定分段线性系统的保性能控制[J]. 江西科学, 2012, 30(1): 8-10
作者姓名:王君
作者单位:江西师范大学物理与通信电子学院,江西南昌,330022
摘    要:对于不确定分段线性系统稳定性分析以及控制器的优化设计问题,给出了一种基于分段二次李雅普诺夫函数的求解方法。运用这种方法,系统二次型保性能控制器设计将转化成求解一组线性矩阵不等式组的可解性问题,可以用软件较方便的求得结果。

关 键 词:不确定分段线性系统  分段二次李雅普诺夫函数  二次型性能

Guaranteed Cost Control of A Class of Uncertain Piecewise Linear Systems
WANG Jun. Guaranteed Cost Control of A Class of Uncertain Piecewise Linear Systems[J]. Jiangxi Science, 2012, 30(1): 8-10
Authors:WANG Jun
Affiliation:WANG Jun(College of Physics and Communication Electronics,Jiangxi Normal University,Jiangxi Nanchang 330022 PRC)
Abstract:Based on a piecewise quadratic Lyapunov function,this paper presented a stability analysis and optimal controller design method for uncertain piecewise linear systems.It is shown that the closed loop system is globally stable with quadratic form guaranteed cost can be obtained by solving a set of Linear Matrix Inequalities that is numerically feasible with commercially available software.
Keywords:Uncertain piecewise linear systems  Piecewise quadratic Lyapunov function  Quadratic cost
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