Gain-scheduled control of two-dimensional discrete-time linear parameter-varying systems in the Roesser model

被引：22

作者：

de Souza, Carlos E. ^{[1
]}

Osowsky, Jefferson ^{[1
]}

机构：

[1] Lab Nacl Comp Cient LNCC MCTI, Dept Syst & Control, BR-25651075 Petropolis, RJ, Brazil

来源：

AUTOMATICA | 2013年 / 49卷 / 01期

关键词：

Two-dimensional systems; Gain-scheduled control; H-infinity control; Guaranteed cost control; Linear parameter-varying systems; Discrete-time systems; Parameter-dependent Lyapunov function; GUARANTEED COST CONTROL; LMI-BASED CRITERION; H-INFINITY; 2-D SYSTEMS; STABILIZATION; STABILITY;

D O I：

10.1016/j.automatica.2012.09.024

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 is concerned with gain-scheduled control of two-dimensional discrete-time linear parameter-varying systems described, by a Roesser state-space model with matrices depending affinely on time-varying scheduling parameters. The parameter admissible values and variations are assumed to belong to given intervals. Linear matrix inequality based methods are devised for designing static state feedback gain-scheduled controllers with either an H-infinity or quadratic regulator-type performance. The control designs build on quadratically parameter-dependent Lyapunov functions and allow for incorporating information on available bounds on the parameters variation. The proposed controller gain can be independent, affine, quadratic, or a matrix fraction of quadratic polynomial matrices in the scheduling parameters. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：101 / 110

页数：10

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