H∞ state feedback switched control for discrete time-varying polytopic systems

被引：14

作者：

Deaecto, Grace S. ^{[1
]}

Geromel, Jose C. ^{[2
]}

机构：

[1] UNIFESP, Inst Sci & Technol, ICT, BR-12231280 Sao Jose Dos Campos, SP, Brazil

[2] Univ Estadual Campinas, Sch Elect & Comp Engn, DSCE, BR-13083852 Campinas, SP, Brazil

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2013年 / 86卷 / 04期

基金：

巴西圣保罗研究基金会;

关键词：

discrete-time switched systems; polytopic systems; state feedback switched control; LPV discrete-time systems control; LPV SYSTEMS; STABILITY; STABILIZATION; STABILIZABILITY; PERFORMANCE; DESIGN;

D O I：

10.1080/00207179.2012.750761

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 article treats, in a new framework, a classical design problem, namely H state feedback switched control for discrete time-varying polytopic systems. The main goal is to jointly design a set of state feedback gains and a switching rule in order to assure a pre-specified H guaranteed level. The main contribution is to generalise switched system results to design a switched controller that does not require online measurements of the time-varying parameters. This property has important consequences mainly because the performance quality is preserved even in the lack of parameter information. Our conditions are based on modified RiccatiMetzler inequalities and are described in terms of linear matrix inequalities. An academical example compares the proposed technique with others from the literature.

引用

页码：591 / 598

页数：8

共 30 条

[1] Grain scheduled control for discrete-time systems depending on bounded rate parameters [J].

Amato, F ;

Mattei, M ;

Pironti, A .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2005, 15 (11) :473-494

[2]

[Anonymous], 2005, COMM CONT E

[3] A CONVEX CHARACTERIZATION OF GAIN-SCHEDULED H-INFINITY CONTROLLERS [J].

APKARIAN, P ;

GAHINET, P .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (05) :853-864

[4] Stabilization of LPV systems: State feedback, state estimation, and duality [J].

Blanchini, F ;

Miani, S .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2003, 42 (01) :76-97

[5] Stability results for linear parameter varying and switching systems [J].

Blanchini, Franco ;

Miani, Stefano ;

Savorgnan, Carlo .

AUTOMATICA, 2007, 43 (10) :1817-1823

[6] Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties [J].

Daafouz, J ;

Bernussou, J .

SYSTEMS & CONTROL LETTERS, 2001, 43 (05) :355-359

[7] On inexact LPV control design of continuous-time polytopic systems [J].

Daafouz, J. ;

Bernussou, J. ;

Geromel, J. C. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (07) :1674-1678

[8]

Daafouz J, 2001, IEEE DECIS CONTR P, P267, DOI 10.1109/CDC.2001.980110

[9] Dynamic output feedback H∞ control of switched linear systems [J].

Deaecto, Grace S. ;

Geromel, Jose C. ;

Daafouz, Jamal .

AUTOMATICA, 2011, 47 (08) :1713-1720

[10] Switched state-feedback control for continuous time-varying polytopic systems [J].

Deaecto, Grace S. ;

Geromel, Jose C. ;

Daafouz, Jamal .

INTERNATIONAL JOURNAL OF CONTROL, 2011, 84 (09) :1500-1508

← 1 2 3 →