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中文摘要：
利用公共Lyapunov泛函方法和凸组合技术研究了一类不确定时变时滞切换广义系统的鲁棒H∞保性能控制和状态反馈镇定问题．在设定的切换规则下，给出了基于线性矩阵不等式表示的鲁棒H∞保性能控制器存在的充分条件，保证了系统具有鲁棒H∞干扰抑制水平，y及状态反馈可切换镇定的同时满足保性能指标．最后的仿真示例验证了该方法的有效性．
英文摘要：
The problems of robust H∞ guaranteed cost control and feedback stabilization for a class of uncertain switched singular systems with time-varying delay are studied based on the Lyapunov function approach and convex combination techniques. A sufficient condition for the existences of robust H∞ guaranteed cost controller and switching strategy are given, and the designed state feedback controllers in terms of linear matrix inequality ensure that the closed-loop systems satisfy the guaranteed cost index with a presented H∞ disturbance attenuation level ＇y. Finally, an illustrative example shows the effectiveness of the proposed method.
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