广义扩展大系统的鲁棒分散有限时间关联镇定

doi:10.6040/j.issn.1672-3961.0.2015.148

山东大学学报(工学版) ›› 2015, Vol. 45 ›› Issue (6): 16-28.doi: 10.6040/j.issn.1672-3961.0.2015.148

广义扩展大系统的鲁棒分散有限时间关联镇定

李小华, 严慰, 刘洋

辽宁科技大学电子与信息工程学院, 辽宁鞍山 114051

收稿日期:2015-05-19 修回日期:2015-11-02 出版日期:2015-12-20 发布日期:2015-05-19
作者简介:李小华(1964-),女,河南郑州人,教授,博士,主要研究方向为复杂大系统结构与控制,工业过程建模与控制.E-mail:lixiaohua6412@163.com
基金资助:
国家自然科学基金青年科学基金资助项目(61403177)

Decentralized finite-time robust connective stabilization for large-scale descriptor systems with expanding construction

LI Xiaohua, YAN Wei, LIU Yang

School of Electronic and Information Engineering, University of Science and Technology Liaoning, Anshan 114051, Liaoning, China

Received:2015-05-19 Revised:2015-11-02 Online:2015-12-20 Published:2015-05-19

摘要/Abstract

摘要： 研究一类广义扩展大系统的分散有限时间鲁棒关联镇定问题。建立了扩展广义大系统的数学模型,利用稳定性理论和线性矩阵不等式方法推导了扩展后大系统基于状态反馈和动态输出反馈的分散有限时间关联镇定的充分条件,在不改变原广义大系统分散控制律的基础上给出了满足条件的新加入子系统的鲁棒分散关联镇定控制器设计方法。采用一个广义互联系统数值算例对提出的设计方法进行了仿真研究,结果显示扩展系统可以被有限时间关联镇定,从而验证了该方法的可行性和有效性。

关键词: 鲁棒关联稳定性, 分散控制, 线性矩阵不等式, 有限时间镇定, 广义扩展结构大系统

Abstract: Robust decentralized finite-time connective stabilization for a class of large-scale descriptor systems with expanding construction was studied. The mathematic model of the expanding large-scale descriptor system was established. The sufficient conditions of decentralized finite-time connective stabilization for this kind of systems were deduced based on state feedback and dynamic output feedback by using stability theory and LMI(linear matrix inequality) method. And the design method of the robust decentralized connective stabilization controller meeting the conditions for the newly added subsystem was given without any change on the decentralized control laws of the original large-scale descriptor system. Simulation on a numerical example for interconnected descriptor systems showed that the expanding system could be finite-time connective stabilized, and the feasibility and effectiveness of the proposed method were verified.

Key words: large-scale descriptor systems with expanding construction, finite-time stabilization, LMI, robust connective stability, decentralized control

中图分类号:

TP273

李小华, 严慰, 刘洋. 广义扩展大系统的鲁棒分散有限时间关联镇定[J]. 山东大学学报(工学版), 2015, 45(6): 16-28.

LI Xiaohua, YAN Wei, LIU Yang. Decentralized finite-time robust connective stabilization for large-scale descriptor systems with expanding construction[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2015, 45(6): 16-28.

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广义扩展大系统的鲁棒分散有限时间关联镇定

Decentralized finite-time robust connective stabilization for large-scale descriptor systems with expanding construction

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