基于LMIs的不确定线性切换系统H_∞鲁棒控制  

H_∞ robust control of uncertain switched linear systems based on LMIs

作　　者：孙文安[1] 赵军[1] 

机构地区：[1]东北大学信息科学与工程学院,辽宁沈阳110004

出　　处：《控制与决策》2005年第6期650-655,678,共7页Control and Decision

基　　金：国家自然科学基金项目(60274009);高等学校博士学科点专项科研基金项目(20020145007);辽宁省自然科学基金项目(20032020).

摘　　要：基于线性矩阵不等式(LMI)和H∞控制理论,研究一类不确定线性切换系统在任意切换策略下的H∞鲁棒控制问题.系统矩阵和输入矩阵都含有时变不确定性.首先利用矩阵Schur补引理构造LMI,得到该系统在H∞意义下渐近稳定的充分条件;然后给出了在状态反馈下和输出反馈下的H∞鲁棒稳定性的充分条件;最后用数值例子验证了文中结果的正确性.The problem of H∞ robust control for uncertain switched linear systems under arbitrary switching laws based on LMI is studied, time-varying uncertainties are contained in both state matrix and input matrix. Firstly, by constructing linear matrix inequalities via Schur complement formula, a sufficient condition of H∞ robust stability is presented in terms of matrix inequality. Next, sufficient condition of H∞ robust stability is given under state feedback and output feedback. These matrix inequalities can be solved easily with Matlab LMI toolbox. Finally, a numerical example illustrates the effectiveness of the method.

关 键 词：线性切换系统 N∞性能 线性矩阵不等式 渐近稳定性 Schur补公式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]