Controller synthesis for multiple finite frequency specifications: Dissipation inequalities approach
Controller synthesis for multiple finite frequency specifications: Dissipation inequalities approach
复制标题
多个有限频率规格的控制器综合：耗散不等式方法
DOI：
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复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
S. Hara
中科院分区：
文献类型：
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作者：
C. Kojima;S. Hara
许多实际的设计指标都是由有限频率区间上的不等式描述的有限频率特性提供的。这些性质是集成设计和鲁棒控制中的重要性质。最近，作者利用二次微分形式证明了该性质等价于耗散不等式，这在基于行为方法的耗散理论中是一个有用的代数工具。本文考虑有限频率特性控制器的综合问题，并作为主要结果，导出了满足多个有限频率特性的控制器可分解的一个充要条件。这一结果从耗散理论的角度阐明了控制器的物理解释。我们还推导了一种计算多项式矩阵的方法，该方法根据结果推导出控制器。
Many of practical design specifications are provided by finite frequency properties described by inequalities over restricted finite frequency intervals. The properties are known as the important property in integrated design and robust control. Recently, the authors proved that the property is equivalent to some dissipation inequality using quadratic differential forms which is a useful algebraic tool in the dissipation theory based on the behavioral approach. In this paper, we consider a synthesis of a controller for finite frequency properties and derive a necessary and sufficient condition for the achievability of a controller satisfying with multiple finite frequency specifications in terms of dissipation inequalities as a main result. This result clarifies a physical interpretation of the controller from the viewpoint of dissipation theory. We also derive a method for computing a polynomial matrix which induces the controller based on the result.
DOI：
10.1016/j.sysconle.2004.11.007
发表时间：
2005-07
期刊：
Syst. Control. Lett.
影响因子：
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作者：
T. Iwasaki;S. Hara;Alexander L. Fradkov
通讯作者：
T. Iwasaki;S. Hara;Alexander L. Fradkov
影响因子：
6.8
作者：
T. Iwasaki;S. Hara
通讯作者：
T. Iwasaki;S. Hara