Robust H∞ Dynamic Output Feedback Stabilization for a Class of Uncertain Switched Singular Systems
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摘要: 研究一类由任意有限多个不确定子系统组成的切换奇异系统的动态输出反馈鲁棒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. 采用消元法, 将该矩阵不等式转化为一组线性矩阵不等式 (LMIs). 最后, 数值实例验证了所提方法的有效性.Abstract: Robust H∞ dynamic output feedback control problem for a class of uncertain switched singular systems is investigated. Based on common Lyapunov function approaches and convex combinations techniques, a sufficient condition for the existence of sub-controllers that is expressed by matrix inequalities is presented and both sub-controllers and switching strategy are designed. Then, using eliminated element method, the matrix inequalities are translated into linear matrix inequalities (LMIs). Finally, a numerical example is given to show the effectiveness of the proposed method.
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Key words:
- Uncertain switched systems /
- singular systems /
- robust H∞ control /
- dynamic output feedback /
- LMIs
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