严格正则多输入多输出对象同时镇定
Simultaneous Stabilization of the Mimo Strictly Proper Plants
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摘要: 使用逆LQ方法讨论了r个严格正则多输入多输出对象的同时镇定问题,基于矩阵 不等式方法得到了静态输出反馈可同时镇定的充要条件,本文证明,r个对象静态输出反馈同 时镇定等价于r个耦合LQ控制问题的解.然后,基于迭代线性矩阵不等式技术给出了一种 迭代求解方法,并给出了算例.
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关键词:
- 同时镇定 /
- 代数Riccati不等式(ARI) /
- 静态输出反馈 /
- 线性矩阵不等式(LMI)
Abstract: Based on the inverse LQ approach, this paper addresses the siumltaneous stabilizability for r MIMO strictly proper plants. Some necessary and sufficient conditions for the static output feedback simultaneous stabilization are derived using the matrix inequality method. It is proven that this problem is equivalent to the existence of the solution of r coupled LQ control problem. Then an iterative algorthm based on the LMI technique is presented to obtain the feedback gain. The illustrated examples show that it is very efficient. -
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