Design of stabilizing strategies for discrete-time dual switching linear systems

被引：30

作者：

Bolzern, Paolo ^{[1
]}

Colaneri, Patrizio ^{[1
]}

De Nicolao, Giuseppe ^{[2
]}

机构：

[1] Politecn Milan, Dipartimento Elettron Informaz & Bioingn, Piazza Leonardo da Vinci 32, I-20133 Milan, Italy

[2] Univ Pavia, Dipartimento Ingn Ind & Informaz, Via Ferrata 5, I-27100 Pavia, Italy

来源：

AUTOMATICA | 2016年 / 69卷

关键词：

Markov Jump Linear Systems; Dual switching; Stability; H-2; performance; H-infinity performance; Networked control;

D O I：

10.1016/j.automatica.2016.02.032

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Discrete-time dual switching linear systems are piecewise linear systems subject to both stochastic and deterministic commutations. Stochastic jumps, well-suited to account for unpredictable events like faults or abrupt changes in the parameters, are modeled by means of a Markov chain. The deterministic switches are dictated by a scheduling signal, used as a control variable in order to achieve stochastic stability and guaranteed input/output performance. We derive sufficient conditions for the existence of a state-feedback switching law attaining these goals. Further, the more challenging co-design problem is addressed, namely the joint synthesis of a linear state-feedback controller and a stabilizing switching strategy ensuring a prescribed performance. The results are illustrated by means of a numerical example concerning a networked control system under occasional communication failures. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：93 / 100

页数：8

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