带有非线性扰动的不确定切换系统鲁棒控制  

Robust control for uncertain switched systems with nonlinear disturbances

作　　者：孙常春[1] 靖新[1] 刘玉忠[2] 

机构地区：[1]沈阳建筑大学理学院,辽宁沈阳110168 [2]沈阳师范大学数学与系统科学学院,辽宁沈阳110034

出　　处：《电机与控制学报》2006年第2期212-215,221,共5页Electric Machines and Control

基　　金：辽宁省科技基金项目(2001401041)

摘　　要：针对一类非线性扰动项不满足匹配条件的不确定切换系统鲁棒状态反馈镇定问题,采用单李雅普诺夫函数和多李雅普诺夫函数方法,研究了状态矩阵和控制输入矩阵同时带有未知、时变但有界的不确定性,而且有外界干扰的切换系统,分别给出了不确定切换系统鲁棒可稳的充分条件。仿真结果表明,所设计的两类控制器及相应的切换策略均能保证闭环系统渐近稳定。The problem of robust state feedback stabilization for a class of uncertain switched systems is studied. The nonlinear disturbances do not satisfy so-called matching condition. 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 the parameter uncertainties are time-varying and unknown but norm-bounded. The simulation results show that two classes of the designed controllers and switching laws guarantee the closed-loop systems which is asymptotically stable.

关 键 词：不确定切换系统 凸组合 状态反馈 鲁棒镇定 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]