摘要
文章通过构造Lyapunov函数,利用线性矩阵不等式,对一类分布参数切换系统给出了状态反馈镇定的充分条件。该条件用一组线性矩阵不等式表示,将分布参数切换系统状态反馈镇定问题转化为一组线性矩阵不等式的可行解问题,可借助Matlab中线性矩阵不等式工具箱求解,因而容易检验和应用。最后通过数值算例,验证所提设计方法的有效性。
By constructing Lyapunov functions and employing linear matrix inequality（LMI）,a number of sufficient conditions for the control of state feedback of a class of distributed parameter switched systems（DPSS） are derived.These conditions are described by a group of linear matrix inequalities,so the design for state feedback controllers of DPSS mainly concerns the feasible solution of certain LMI system.The controllers can be efficiently solved by means of Matlab LMI toolbox,then the criteria can be checked and the method can be applied easily.A numerical example shows the validity of the proposed design method.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第11期1631-1633,共3页
Journal of Hefei University of Technology：Natural Science
基金
国家自然科学基金资助项目(60974022)
合肥工业大学博士专项基金资助项目(GDBJ2008-33)
关键词
分布参数系统
切换系统
状态反馈
线性矩阵不等式
distributed parameter system
switched system
state feedback
linear matrix inequality（LMI）
