Stochastic stability of networked control systems with packet disordering via a gain-scheduling controller

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2025-01-13 DOI:10.1016/j.amc.2025.129282

Huihui Ji , Shengyuan Xu , He Zhang , Chenlong Li , Yuhua Xu

{"title":"Stochastic stability of networked control systems with packet disordering via a gain-scheduling controller","authors":"Huihui Ji , Shengyuan Xu , He Zhang , Chenlong Li , Yuhua Xu","doi":"10.1016/j.amc.2025.129282","DOIUrl":null,"url":null,"abstract":"<div><div>It is addressed the problem of almost sure stability for networked control systems (NCSs), where the order of the control signal is possible to be disordering over a communication network. A stochastic configuration network algorithm is employed to record and predict the packet order, which is random to allot input biases or weights and evaluates the output wights. Under the algorithm, a stochastic parameter appears in the controlled system and is assumed to obey a Markov distribution. In this paper, a group of scheduling controllers in a controlled interval are chosen subjected to an underlying Markov chain and the execution time allotted to the controller is subjected to a hidden stochastic process. Thus, the NCSs based on stochastic scheduling include complex random variables. Combining Lyapunov analysis method and some stochastic analysis tools, almost sure stability conditions are given. Finally, the obtained results are applied into addressing the problem of stochastic scheduling control of a quadruple-tank process.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"494 ","pages":"Article 129282"},"PeriodicalIF":3.5000,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Computation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0096300325000098","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

Abstract

It is addressed the problem of almost sure stability for networked control systems (NCSs), where the order of the control signal is possible to be disordering over a communication network. A stochastic configuration network algorithm is employed to record and predict the packet order, which is random to allot input biases or weights and evaluates the output wights. Under the algorithm, a stochastic parameter appears in the controlled system and is assumed to obey a Markov distribution. In this paper, a group of scheduling controllers in a controlled interval are chosen subjected to an underlying Markov chain and the execution time allotted to the controller is subjected to a hidden stochastic process. Thus, the NCSs based on stochastic scheduling include complex random variables. Combining Lyapunov analysis method and some stochastic analysis tools, almost sure stability conditions are given. Finally, the obtained results are applied into addressing the problem of stochastic scheduling control of a quadruple-tank process.

查看原文本刊更多论文

基于增益调度控制器的数据包无序网络控制系统的随机稳定性

它解决了网络控制系统（NCSs）几乎确定稳定的问题，在这种情况下，控制信号的顺序有可能在通信网络上发生紊乱。研究采用了一种随机配置网络算法来记录和预测数据包顺序，该算法随机分配输入偏置或权重，并评估输出权重。根据该算法，控制系统中会出现一个随机参数，并假定该参数服从马尔可夫分布。本文根据底层马尔可夫链选择受控区间内的一组调度控制器，分配给控制器的执行时间是一个隐藏的随机过程。因此，基于随机调度的 NCS 包括复杂的随机变量。结合 Lyapunov 分析方法和一些随机分析工具，给出了几乎确定的稳定性条件。最后，将所获得的结果应用于解决四槽过程的随机调度控制问题。

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

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.