圆形区域极点约束下的δ算子时滞系统鲁棒L_2-L_∞控制  

Robust L_2-L_∞ control of δ operator formulated time-delay systems with disc regional pole constraint

作　　者：何荣福[1] 肖民卿[2] 

机构地区：[1]武夷学院数学与计算机系,福建武夷山354300 [2]福建师范大学数学与计算机科学学院,福建福州350007

出　　处：《山东大学学报（工学版）》2013年第1期69-79,共11页Journal of Shandong University（Engineering Science）

基　　金：福建省高校服务海西建设重点资助项目

摘　　要：研究了δ算子线性参数不确定时滞系统具有圆形区域极点约束的鲁棒L2-L∞控制问题。根据矩阵理论,以矩阵不等式形式给出δ算子时滞系统极点位于圆形区域内的一个充分条件。针对受扰的δ算子线性参数不确定时滞系统,利用Lyapunov稳定性理论,提出满足圆形区域极点约束的最优鲁棒L2-L∞状态反馈控制器的设计方法,控制器可以确保对于所有的容许不确定性,δ算子闭环时滞系统的极点都位于稳定域内的指定圆形区域中,并使系统的鲁棒L2-L∞性能指标尽可能小。数值算例验证了设计方法的可行性和有效性。The problem of robust L2-L∞ control with disc regional pole constraint was investigated for a class of δ opera- tor formulated linear time-delay uncertain systems. Based on the matrix theory, a sufficient condition for the poles of a δ operator formulated linear time-delay system, being inside a disc region, was presented in the form of linear matrix in- equality （LMI）. For a class of δ operator time-delay uncertain systems with disturbances, a design method of the opti- mal robust L2 -L∞ controller was obtained by the Lyapunov approach, which could place the poles of the closed-loop sys- tem in a prespecified disc and ensure the L2-L∞ performance to be optimal, . A numerical example was provided to il- lustrate the feasibility and effectiveness of the design method.

关 键 词：Δ算子 时滞系统 区域极点约束 L2-L∞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]