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中文摘要：
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。
英文摘要：
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.
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