Asynchronous output-feedback stabilization of discrete-time Markovian jump linear systems

Zhan Shu, J. Xiong, J. Lam
{"title":"Asynchronous output-feedback stabilization of discrete-time Markovian jump linear systems","authors":"Zhan Shu, J. Xiong, J. Lam","doi":"10.1109/CDC.2012.6426362","DOIUrl":null,"url":null,"abstract":"Various constraints on signal processing and transmission in practice have posed a big issue to perfect synchronous switching control for Markovian jump linear systems (MJLSs), and thus designing a controller partially or totally independent of the plant switching becomes significant. In this paper, we propose an approach to synthesizing asynchronous switching control laws for discrete-time MJLSs. By utilizing a separation technique, a necessary and sufficient condition for asynchronous static output-feedback stabilizability is established in terms of a set of matrix inequality with a special structure for computation. Then, an iterative algorithm is employed to solve the condition. Appropriate optimization on initial values may improve the solvability. Numerical examples are provided to illustrate the effectiveness of the proposed approach.","PeriodicalId":312426,"journal":{"name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","volume":"263 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.2012.6426362","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 12

Abstract

Various constraints on signal processing and transmission in practice have posed a big issue to perfect synchronous switching control for Markovian jump linear systems (MJLSs), and thus designing a controller partially or totally independent of the plant switching becomes significant. In this paper, we propose an approach to synthesizing asynchronous switching control laws for discrete-time MJLSs. By utilizing a separation technique, a necessary and sufficient condition for asynchronous static output-feedback stabilizability is established in terms of a set of matrix inequality with a special structure for computation. Then, an iterative algorithm is employed to solve the condition. Appropriate optimization on initial values may improve the solvability. Numerical examples are provided to illustrate the effectiveness of the proposed approach.
离散马尔可夫跃变线性系统的异步输出反馈镇定
在实际应用中,信号处理和传输的各种约束条件给马尔可夫跳变线性系统(MJLSs)的同步切换控制提出了很大的问题,因此设计一个部分或完全独立于系统切换的控制器变得非常重要。在本文中,我们提出了一种合成离散时间mjls的异步切换控制律的方法。利用分离技术,用一组具有特殊计算结构的矩阵不等式建立了异步静态输出反馈稳定的充分必要条件。然后,采用迭代算法求解该条件。对初始值进行适当的优化可以提高可解性。数值算例说明了该方法的有效性。
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 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信