NETWORKED CONTROL SYSTEMS IN THE PRESENCE OF SCHEDULING PROTOCOLS AND COMMUNICATION DELAYS

被引：44

作者：

Liu, Kun ^{[1
,2
,3
]}

Fridman, Emilia ^{[4
]}

Hetel, Laurentiu ^{[5
]}

机构：

[1] Beijing Inst Technol, Sch Automat, Beijing 100081, Peoples R China

[2] KTH Royal Inst Technol, Stockholm, Sweden

[3] Tel Aviv Univ, IL-69978 Tel Aviv, Israel

[4] Tel Aviv Univ, Sch Elect Engn, IL-69978 Tel Aviv, Israel

[5] Univ Lille Nord France, Ecole Cent Lille, LAGIS, FRE CNRS 3303, F-59651 Villeneuve Dascq, France

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2015年 / 53卷 / 04期

基金：

瑞典研究理事会; 以色列科学基金会;

关键词：

networked control systems; time-delay approach; scheduling protocols; hybrid systems; Lyapunov-Krasovskii method; STABILITY ANALYSIS; LINEAR-SYSTEMS; IMPULSIVE SYSTEMS; STABILIZATION;

D O I：

10.1137/140980570

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper develops the time-delay approach to networked control systems in the presence of multiple sensor nodes, communication constraints, variable transmission delays, and sampling intervals. Due to communication constraints, only one sensor node is allowed to transmit its packet at a time. The scheduling of sensor information toward the controller is ruled by a weighted try-once-discard or by round-robin protocols. A unified hybrid system model under both protocols for the closed-loop system is presented; it contains time-varying delays in the continuous dynamics and in the reset conditions. A new Lyapunov-Krasovskii method, which is based on discontinuous in time Lyapunov functionals, is introduced for the stability analysis of the delayed hybrid systems. The resulting conditions can be applied to the system with polytopic type uncertainties. The efficiency of the time-delay approach is illustrated on the examples of uncertain cart-pendulum and of batch reactor.

引用

页码：1768 / 1788

页数：21

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