摘要
研究了一类由任意多个子系统组成的线性切换奇异系统的状态反馈H∞控制问题。采用共同Lyapunov函数方法和凸组合技术,给出由矩阵不等式表示的使闭环系统渐近稳定且满足H∞性能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。采用矩阵变换,将矩阵不等式等价转换为一组线性矩阵不等式。数值算例说明了所提方法的有效性和可行性。
This paper addressed the H∞ state feedback control problem for a class of switched linear singular systems.Based on common Lyapunov function approaches and convex combinations techniques,it presented a sufficient condition for the existence of sub-controllers that was in the form of matrix inequalities such that the system was asymptotically stable and satisfied-H∞ performance.It designed both sub-controllers and switching strategy.Then,using matrix transformation,the matrix inequalities were translated into linear matrix inequalities（LMIs）.Finally,gave a numerical example to show the effectiveness and feasibility of the presented method.
出处
《计算机应用研究》
CSCD
北大核心
2011年第10期3720-3722,共3页
Application Research of Computers
基金
国家自然科学基金资助项目(60904023)
河南省科技攻关资助项目(102102210449)
河南省教育厅自然科学基金资助项目(2008B510003)
河南科技大学博士科研启动基金资助项目(09001237)
