数据包丢失的不确定奇摄动网络化容错控制

华东师范大学学报(自然科学版) ›› 2012, Vol. 2012 ›› Issue (5): 93-100.

数据包丢失的不确定奇摄动网络化容错控制

王岩岩¹，刘伟^{1, 2}, 孔令志³

1. 周口师范学院~~数学系, 河南~~周口 466001;
2. 上海交通大学~~自动化系, 上海 200240;
3. 华东师范大学出版社, 上海 200062

收稿日期:2011-06-01 修回日期:2011-09-01 出版日期:2012-09-25 发布日期:2012-09-29

Networked fault tolerant control of the uncertain singularly perturbed system with packet dropout

WANG Yan-yan ¹, LIU Wei ^{1, 2}, KONG Ling-zhi ³

1. Department of Mathematics, Zhoukou Normal University, Zhoukou Henan 466001, China; 2. Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, China; 3. East China Normal University Press, Shanghai 200062, China

Received:2011-06-01 Revised:2011-09-01 Online:2012-09-25 Published:2012-09-29

摘要/Abstract

摘要： 根据奇摄动网络丢包的特点, 在执行器发生故障的情况下, 将奇摄动网络化系统转换为奇摄动不确定切换系统. 利用矩阵不等式技巧, 巧妙地克服了由于小参数引起边界层动态行为对奇摄动不确定切换系统所带来的困难. 同时研究该奇摄动切换系统在一定数据包丢失率影响下的反馈控制, 并给出了控制器的设计方法和系统镇定的充分条件. 最后, 通过数值仿真例子验证了本方法的有效性.

关键词: 奇摄动, 网络化控制, 切换系统, 可靠控制, 容错控制

Abstract: Considering the networked packet dropout of a singularly perturbed system under actuator failure, the original system was transformed to a singularly perturbed uncertain switched system. Then, the difficulty arising in the boundary dynamic behavior caused by a small parameter was overcome by using the matrix inequality technique. Meanwhile, the feedback stabilization of the singularly perturbed uncertain switched system was studied under some certain data dropout rate. Further, the design method of a controller and the sufficient condition of stabilization of the system were presented. Finally, a numerical example was given to illustrate the effectiveness of the proposed method.

Key words: singular perturbation, networked control, switched systems, reliability control, fault tolerant control

中图分类号:

TP13

王岩岩, 刘伟, 孔令志. 数据包丢失的不确定奇摄动网络化容错控制[J]. 华东师范大学学报(自然科学版), 2012, 2012(5): 93-100.

WANG Yan-yan, LIU Wei, KONG Ling-zhi. Networked fault tolerant control of the uncertain singularly perturbed system with packet dropout[J]. Journal of East China Normal University(Natural Sc, 2012, 2012(5): 93-100.

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