A generic design methodology for sliding mode control of switched systems

被引：22

作者：

Richard, P. Y. ^{[1
]}

Cormerais, H. ^{[1
]}

Buisson, J. ^{[1
]}

机构：

[1] IETR Supelec, F-35511 Cesson Sevigne, France

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 65卷 / 09期

关键词：

switched systems; dc-dc converters; sliding mode control; Boolean inputs;

D O I：

10.1016/j.na.2005.10.048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to present a generic methodology to design sliding mode controllers for multivariable switched systems affine in control such as dc-dc power converters. An original formulation of the so-called reachability condition, suitable for this class of systems, is established. Based on the choice of a Lyapunov-like function and parameterized by a single weighting matrix, it allows several kinds of control strategies to be derived, namely conventional piecewise continuous strategies as well as discrete (Boolean) strategies. Its application to the important subclass of linear time invariant systems is investigated more specifically. In the Boolean case, the present approach is also compared to another hybrid one called the stabilizing approach. Eventually, its efficiency as a design methodology, as well as the performance of the resulting control, are shown by simulating it on non-trivial examples of power converters. (c) 2006 Published by Elsevier Ltd

引用

页码：1751 / 1772

页数：22

共 12 条

[1] Analysis of the bond graph model of hybrid physical systems with ideal switches [J].

Buisson, J ;

Cormerais, H ;

Richard, PY .

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2002, 216 (I1) :47-63

[2]

BUISSON J, 2001, INT C BOND GRAPH MOD

[3]

BUISSON J, 2005, HSCC, V216, P47

[4]

CUNHA FB, 2002, 15 IFAC TRIENN WORLD

[5]

EDWARDS C, 1998, TAYLOR FRANCIS SYST

[6]

MORVAN C, 2004, 6 IFAC S NONL CONTR

[7]

Perruquetti W, 2002, CONTROL ENG SERIES

[8]

PINON D, 2002, REVUE INT GENIE ELEC, V5

[9]

ROMERO M, 2004, INT CL INT MOD AN AP

[10] SLIDING MOTIONS IN BILINEAR SWITCHED NETWORKS [J].

SIRARAMIREZ, H .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1987, 34 (08) :919-933

← 1 2 →