不确定线性切换系统的H_∞鲁棒控制和极点配置  

H_∞ robust control of uncertain switched linear systems with pole location

作　　者：闻继伟[1] 刘飞[1] 

机构地区：[1]江南大学电气自动化研究所,无锡214122

出　　处：《东南大学学报（自然科学版）》2008年第A02期163-167,共5页Journal of Southeast University：Natural Science Edition

基　　金：国家自然科学基金资助项目(60574001);新世纪优秀人才支持计划资助项目(NCET-05-0485);江南大学创新团队发展计划资助项目

摘　　要：针对基于任意规则切换的不确定线性切换系统,研究其极点配置及H∞鲁棒控制问题.使用公共Lyapunov函数方法,构造连续状态反馈控制器,使得对于所有允许的不确定性,每个子系统和整个切换系统渐近稳定,同时切换系统对外界干扰有一定的抑制能力即满足一定的H∞扰动抑制水平,该控制器还能在复平面左半平面一圆形区域内配置闭环系统的极点.控制器的求解等效为线性矩阵不等式的可解性问题.仿真示例验证了该方法的可行性和有效性.Aiming at a class of uncertain switched linear systems with arbitrary switching rules, the pole location and H∞ robust control problem is considered. By using the common Lyapunov function, a continuous state feedback controller has been studied. This switching control strategy guarantees the asymptotical stability of each subsystem and the whole switched system while the assignment of eigenvalues of each linear subsystem is obtained inside a chosen circle in the left-hand half of the complex plane. Moreover, a given disturbance attenuation level can also be satisfied for the closedloop system. The solvability condition of the above controller can be equivalent to a feasibility problem of linear matrix inequalities （LMIs）. A simulation example is given to illustrate the validity of the results.

关 键 词：不确定线性切换系统 极点配置 H∞控制 线性矩阵不等式 状态反馈 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]