基于LMI的不确定切换系统鲁棒控制  

Robust Control for Uncertain Switched Systems Based on LMI

作　　者：孙常春[1] 靖新[1] 闫红梅[1] 赵恩良[1] 

机构地区：[1]沈阳建筑大学理学院,辽宁沈阳110168

出　　处：《计算技术与自动化》2006年第3期13-16,共4页Computing Technology and Automation

摘　　要：基于线性矩阵不等式(LMI)方法和凸组合技术,研究一类带有非线性扰动的不确定切换系统的鲁棒镇定问题。在每个子系统均不能镇定的情况下,利用单李雅普诺夫函数方法和多李雅普诺夫函数方法,分别得到不确定切换系统可镇定的充分条件。针对参数不确定性的未知、时变、有界特点,设计出鲁棒状态反馈控制器及相应的切换策略。最后,通过计算机仿真验证所设计方法的正确和有效性。Based on LMI （linear matrix inequality） method and convex combination technique, the problem of robust stabilization for a class of uncertain switched systems with nonlinear disturbance is studied. By using single Lyapunov function technique and multiple Lyapunov function technique, sufficient conditions of robust stabilization for switched systems are obtained respectively under the assumption that each subsystem can＇ t be stabilized. The parameter uncertainties are tlme- varying and unknown but are norm - bounded. Robust state feedback controllers and two classes of switching laws are designed. The simulation results show the validity of the designed methods.

关 键 词：不确定切换系统 线性矩阵不等式 凸组合 状态反馈 鲁棒镇定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]