Analysis and synthesis of anti-windup control system based on Youla parametrization

Analysis and synthesis of anti-windup control system based on Youla parametrization
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基于Youla参数化的抗饱和控制系统分析与综合

DOI:
10.1109/cdc.2002.1184246
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发表时间:
2002
期刊:
Proceedings of the 41st IEEE Conference on Decision and Control, 2002.
影响因子:
--
通讯作者:
K. Takaba
K. Takaba
中科院分区:
--
文献类型:
--
作者:
K. Takaba

文献摘要

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研究了一种基于Youla参数化的抗饱和控制系统的分析与综合。尤拉参数化使我们能够得到一个一般的表征AW控制器,直接利用互质分解的工厂。利用多回路循环判据证明了当被控对象的互质因子满足一定的严格正实条件时,闭环系统的全局L/sub 2/稳定性是有保证的。在此稳定性条件的基础上,我们发展了一种基于线性矩阵不等式的AW控制综合方法。我们还研究了本AW控制器和基于IMC的AW控制器之间的关系。此外,我们将上述结果推广到两自由度控制系统的AW控制。
The paper is concerned with the analysis and synthesis of an anti-windup (AW) control system based on the Youla parametrization. The Youla parametrization enables us to derive a general characterization of AW controllers that directly utilizes a coprime factorization of the plant. It is proved by the multi-loop circle criterion that the global L/sub 2/ stability of the closed-loop system is guaranteed if the coprime factor of the plant satisfies a certain strict positive realness condition. On the basis of this stability condition, we develop a method for the AW control synthesis in terms of linear matrix inequalities. We also study the relation between the present AW controller and an IMC-based AW controller. Furthermore, we extend the above results to the AW control for two-degree-of-freedom control systems.