Strictly positive real H/sub 2/ controller synthesis from the viewpoint of the inverse problem

Strictly positive real H/sub 2/ controller synthesis from the viewpoint of the inverse problem
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从反问题的角度来看严格正实H/sub 2/控制器综合

DOI:
10.1109/cdc.1997.657579
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发表时间:
1997
期刊:
Proceedings of the 36th IEEE Conference on Decision and Control
影响因子:
--
通讯作者:
T. Fujii
T. Fujii
中科院分区:
--
文献类型:
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作者:
T. Shimomura;T. Fujii

文献摘要

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本文讨论了此类基于观测器的控制器的设计问题,该控制器是严格正实数且同时是 H/sub 2/ 最优的。 LQG 设计权重和该问题的次优版本的某些数值解存在一定程度的限制性充分条件。然而,迄今为止,尚未对该问题提供通用的分析解决方案。在本文中,我们特别从反问题的角度考虑这个问题,并提供了一个通用的解析解,它展示了严格正实控制器同时达到 H/sub 2/ 最优所需的有趣结构。
This paper deals with a design problem for such observer based controllers that are strictly positive real and simultaneously H/sub 2/ optimal. There exist somewhat restrictive sufficient conditions on LQG design weights and some kinds of numerical solutions to suboptimal versions of this problem. However, no general analytical solution has been provided to the problem so far. In this paper, we consider this problem in particular from the viewpoint of the inverse problem and provide a general analytical solution, which shows an interesting structure that is required for the strictly positive real controller to be simultaneously H/sub 2/ optimal.