Design of decentralized stabilizing variable structure controller for perturbed large-scale systems with delays in state

ISIE '99. Proceedings of the IEEE International Symposium on Industrial Electronics (Cat. No.99TH8465) Pub Date : 1999-07-12 DOI:10.1109/ISIE.1999.801812

Ming-Sheng Yang, Ho-Lung Hung, Hung-Ching Lu

{"title":"Design of decentralized stabilizing variable structure controller for perturbed large-scale systems with delays in state","authors":"Ming-Sheng Yang, Ho-Lung Hung, Hung-Ching Lu","doi":"10.1109/ISIE.1999.801812","DOIUrl":null,"url":null,"abstract":"A design approach of decentralized stabilizing variable structure control for perturbed large-scale systems with delays in state variables is proposed in this paper. The control design includes both the decentralized variable structure control law and an integral type of switching hyperplane. First, the decentralized control law is derived in such a way that the global reaching condition is satisfied, so that the sliding mode occurs in each subsystem. Moreover, a switching hyperplane is designed to force the initial states of the overall system to lie on the sliding hyperplane when time is at zero, and the stability degree of the overall system in sliding mode is achieved by choosing the elements of the hyperplane matrix. The proposed design approach does not need the solution of the Lyapunov equation or Riccati equation. The robust performance in sliding mode is discussed in detail. Finally, a numerical example is given to demonstrate the results.","PeriodicalId":227402,"journal":{"name":"ISIE '99. Proceedings of the IEEE International Symposium on Industrial Electronics (Cat. No.99TH8465)","volume":"88 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ISIE '99. Proceedings of the IEEE International Symposium on Industrial Electronics (Cat. No.99TH8465)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIE.1999.801812","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 2

Abstract

A design approach of decentralized stabilizing variable structure control for perturbed large-scale systems with delays in state variables is proposed in this paper. The control design includes both the decentralized variable structure control law and an integral type of switching hyperplane. First, the decentralized control law is derived in such a way that the global reaching condition is satisfied, so that the sliding mode occurs in each subsystem. Moreover, a switching hyperplane is designed to force the initial states of the overall system to lie on the sliding hyperplane when time is at zero, and the stability degree of the overall system in sliding mode is achieved by choosing the elements of the hyperplane matrix. The proposed design approach does not need the solution of the Lyapunov equation or Riccati equation. The robust performance in sliding mode is discussed in detail. Finally, a numerical example is given to demonstrate the results.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

状态时滞摄动大系统的分散稳定变结构控制器设计

针对状态变量存在时滞的扰动大系统，提出了一种分散稳定变结构控制的设计方法。控制设计包括分散变结构控制律和积分型切换超平面。首先，在满足全局到达条件的情况下，推导出分散控制律，使滑模发生在各个子系统中;设计了切换超平面，在时间为零时将整个系统的初始状态强制置于滑动超平面上，并通过选择超平面矩阵的元素来实现整个系统在滑模状态下的稳定性。所提出的设计方法不需要Lyapunov方程或Riccati方程的解。详细讨论了系统在滑模下的鲁棒性能。最后，通过数值算例对结果进行了验证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

ISIE '99. Proceedings of the IEEE International Symposium on Industrial Electronics (Cat. No.99TH8465)

自引率

0.00%

发文量