Stability and -gain analysis of Networked Control Systems under Round-Robin scheduling: A time-delay approach

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• 作者：Kun Liu^a ; ^{liukun@eng.tau.ac.il} ; Emilia Fridman^a ; ^{emilia@eng.tau.ac.il} ; Laurentiu Hetel^b ; ^{laurentiu.hetel@ec-lille.fr}
• 关键词：Networked Control Systems ; Scheduling protocols ; Lyapunov&ndash ; Krasovskii method
• 刊名：Systems and Control Letters
• 出版年：2012
• 期刊代码：171_01676911
• 类别：et
• 出版时间：May, 2012
• 卷：61
• 期：5
• 页码：666-675
• 文件大小：724 K

摘要

This paper analyzes the exponential stability and the induced -gain of Networked Control Systems (NCS) that are subject to time-varying transmission intervals, time-varying transmission delays and communication constraints. The system sensor nodes are supposed to be distributed over a network. The scheduling of sensor information towards the controller is ruled by the classical Round-Robin protocol. We develop a time-delay approach for this problem by presenting the closed-loop system as a switched system with multiple and ordered time-varying delays. Linear Matrix Inequalities (LMIs) are derived via appropriate Lyapunov-Krasovskii-based methods. Polytopic uncertainties in the system model can be easily included in the analysis. The efficiency of the method is illustrated on the batch reactor and on the cart-pendulum benchmark problems. Our results essentially improve the hybrid system-based ones and, for the first time, allow treating the case of non-small network-induced delay, which can be greater than the sampling interval.