基于观测器的广义时滞系统弹性保成本控制  

Observer-based Non-fragile Guaranteed Cost Control of Singular Time-delay Systems

作　　者：李华[1] 周宇[1] 

机构地区：[1]兰州交通大学自动化与电气工程学院,甘肃兰州730070

出　　处：《控制工程》2010年第6期719-722,726,共5页Control Engineering of China

基　　金：甘肃省自然科学基金资助项目(3ZS042-B25-039);兰州市科学计划发展项目(2008-1-2)

摘　　要：在同时考虑系统矩阵参数不确定性和控制器不确定性对系统性能影响的前提下,研究了一类基于观测器的不确定广义时滞系统的弹性保成本控制问题。基于Lyapunov稳定性理论,通过构造广义Lyapunov函数和广义二次性能指标函数,以线性矩阵不等式的形式给出了基于观测器状态反馈的弹性保成本控制器的设计方法。该控制器不仅保证了广义时滞系统是鲁棒稳定而且使其具有相应的性能指标上界。采用一种新方法将系统弹性保成本控制器设计和状态观测器增益矩阵求取转化为两组严格线性矩阵不等式的可行解问题。最后通过算例验证了该方法的可行性和有效性。The problem of observer-based non-fragile guaranteed cost control for a class of sigular time-delay systems with uncertainties is discussed.Both the uncertainties of system matrix parameters and controller are considered.In terms of linear matrix inequalities（LMIs）,a design method is obtained by constructing generalized Lyapunov function and generalized quadratic regulator.Using the designed controller,not only the stability of the uncertain singular time-delay system is guaranteed but also the upper bound of quadratic guaranteed cost function is obtained.A method is approached to convert the design problem of the non-fragile guaranteed cost controller and the obsever matrix,to the solvability problem of two group of LMIs.A numerical example show the validity of the proposed method.

关 键 词：观测器 广义时滞系统 弹性保成本控制 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]