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中文摘要：
针对同时具有模型参数不确定性和外部扰动的一类离散切换系统,研究H∞其鲁棒控制和H2/H∞混合鲁棒控制问题。首先,基于多Lyapunov函数法分析了含有状态反馈控制器的离散切换系统的稳定性和H∞鲁棒控制问题。其次,基于线性矩阵不等式,通过建立和求解一个凸优化问题,给出不确定H2/H∞鲁棒控制的具有更小保守性的求解方法。最后,仿真算例验证了所提出方案的可行性。
英文摘要：
H∞ and H2/H∞ robust control for a class of switched discrete systems with parameter uncertainty and external disturbance are studied.Firstly,stability and H∞ control performance of the switched systems under consideration with state feedback controller are presented,based on multiple Lyapunov function method.Secondly,the convex optimization problem is established for H2/H∞ control and its optimization solution is given which has smaller conservative property.The simulation further verifies the feasibility of the proposed scheme posed.
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