Characterization of discrete-time H2 control performance limitation based on poles and zeros

Characterization of discrete-time H2 control performance limitation based on poles and zeros
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基于极点和零点的离散时间 H2 控制性能限制的表征

DOI:
10.1109/cdc.2008.4739004
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发表时间:
2008
期刊:
2008 47th IEEE Conference on Decision and Control
影响因子:
--
通讯作者:
K. Tsumura
K. Tsumura
中科院分区:
--
文献类型:
--
作者:
Hideaki Tanaka;M. Kanno;K. Tsumura

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在本文中,我们证明了离散时间SISO系统的H2调节/跟踪问题的最佳可实现性能可以用植物的极点/零点和闭环系统的极点以非常简单的形式表示。我们还解释了闭环系统的极点可以用代数方法与系统参数相关联。此外,给出了相应的表达式,揭示了z域和s域结果之间的关系。推导出的表达式直接将系统参数与所得到的最优H2性能联系起来,因此可以有效地用于系统参数调优。
In this paper, we show that the best achievable performance in the H2 regulation/tracking problem for discrete-time SISO systems can be expressed in a remarkably simple form by the poles/zeros of the plants and the poles of the closed-loop systems. We also explain that the poles of the closed-loop systems can be related with system parameters by an algebraic approach. Furthermore, corresponding expressions in the ¿-domain are given to reveal the relationship between the results in the z-domain and the s-domain. The derived expressions directly connect the system parameters and the resultant optimal H2 performance and, therefore, they are effectively utilized in system parameter tuning.
DOI: 10.1109/tac.2003.815012
发表时间: 2003-08
期刊: IEEE Trans. Autom. Control.
影响因子: --
作者:
Jie Chen;S. Hara;Gang Chen
通讯作者: Jie Chen;S. Hara;Gang Chen