Stability Analysis of Polytopic Markov Jump Linear Systems with Applications to Sequence-Based Control over Networks

被引：0

作者：

Rosenthal, Florian ^{[1
]}

Hanebeck, Uwe D. ^{[1
]}

机构：

[1] Karlsruhe Inst Technol KIT, Inst Anthropomat & Robot, Intelligent Sensor Actuator Syst Lab ISAS, Karlsruhe, Germany

来源：

IFAC PAPERSONLINE | 2020年 / 53卷 / 02期

关键词：

Control over networks; Control under communication constraints; Control of switched systems; Stability and stabilization of hybrid systems;

D O I：

10.1016/j.ifacol.2020.12.1030

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 deals with sequence-based control over networks with time-varying and generally unknown delay and loss probabilities. We show that the problems of stability analysis and controller synthesis can be addressed using a polytopic Markov jump linear system describing an augmented system. For this kind of systems, we derive a necessary and sufficient condition for mean square stability that extends existing results in literature. Likewise, we provide a sufficient condition for mean square stabilizability in terms of an LMI feasibility test. The results are illustrated in a numerical example. Copyright (C) 2020 The Authors.

引用

页码：3104 / 3111

页数：8

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