一类切换线性奇异系统的H_∞控制  

H-infinity control for a class of switched linear singular systems

作　　者：付主木[1] 费树岷[2] 

机构地区：[1]河南科技大学电子信息工程学院,河南洛阳210096 [2]东南大学自动化学院,江苏南京210096

出　　处：《控制理论与应用》2008年第4期693-698,共6页Control Theory & Applications

基　　金：国家自然科学基金(60574006);河南省教育厅自然科学基金(2008B510003);河南科技大学博士科研启动基金(09001237).

摘　　要：研究一类由任意有限多个奇异子系统组成的切换奇异系统的状态反馈和动态输出反馈H_∞控制问题.利用共同Lyapunov函数方法和凸组合技术,给出由矩阵不等式表示的控制器存在的充分条件,并设计了相应的子控制器和切换策略.分别采用矩阵变换和消元法,将矩阵不等式分别转化为一组线性矩阵不等式(LMIs).数值算例说明了所提方法的有效性和可行性.The H-infinity control problem of state feedback and dynamic output feedback for a class of switched linear singular systems is addressed in this paper. Based on common Lyapunov function approaches and convex combinations techniques, a sufficient condition for the existence of sub-controllers is presented, which is in the form of matrix inequalities. Both sub-controllers and switching strategies are designed correspondingly. Then, using the matrix transformation and the elimination of elements, the matrix inequalities are converted to linear matrix inequalities （LMIs）. Finally, a numerical example is given to show the effectiveness and feasibility of the presented method.

关 键 词：切换系统 奇异系统 H∞控制 状态反馈 动态输出反馈 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]