Switching rule design for affine switched systems using a max-type composition rule

被引:55
作者
Scharlau, Cesar C. [1 ]
de Oliveira, Mauricio C. [2 ]
Trofino, Alexandre [1 ]
Dezuo, Tiago J. M. [1 ]
机构
[1] Univ Fed Santa Catarina, Dept Automat & Syst Engn, DAS CTC UFSC, Florianopolis, SC, Brazil
[2] Univ Calif San Diego, Dept Mech & Aerosp Engn, San Diego, CA 92103 USA
关键词
Affine switched systems; Switching rule design; Sliding mode; Lyapunov function; LINEAR-SYSTEMS; QUADRATIC STABILIZATION; STABILITY; STABILIZABILITY;
D O I
10.1016/j.sysconle.2014.02.007
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 presents conditions for designing a switching rule that drives the state of the switched dynamic system to a desired equilibrium point. The proposed method deals with the class of switched systems where each subsystem has an affine vector field and considers a switching rule using 'max' composition. The results guarantee global asymptotic stability of the tracking error dynamics even if sliding mode occurs at any switching surface of the system. In addition, the method does not require a Hurwitz convex combination of the dynamic matrices of the subsystems. Two numerical examples are used to illustrate the results. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:1 / 8
页数:8
相关论文
共 27 条
[1]  
[Anonymous], 1988, Differential Equations with Discontinuous Righthand Sides
[2]  
Bolzern P, 2004, P AMER CONTR CONF, P3890
[3]  
Boyd S., 1994, LINEAR MATRIX INEQUA
[4]  
Clarke F. H., 1998, NONSMOOTH ANAL CONTR, V178, DOI 10.1007/b97650
[5]   Switched affine systems control design with application to DC-DC converters [J].
Deaecto, G. S. ;
Geromel, J. C. ;
Garcia, F. S. ;
Pomilio, J. A. .
IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (07) :1201-1210
[6]   VARIABLE STRUCTURE CONTROL OF NONLINEAR MULTIVARIABLE SYSTEMS - A TUTORIAL [J].
DECARLO, RA ;
ZAK, SH ;
MATTHEWS, GP .
PROCEEDINGS OF THE IEEE, 1988, 76 (03) :212-232
[7]   Perspectives and results on the stability and stabilizability of hybrid systems [J].
DeCarlo, RA ;
Branicky, MS ;
Pettersson, S ;
Lennartson, B .
PROCEEDINGS OF THE IEEE, 2000, 88 (07) :1069-1082
[8]   Discrete-time maps for the analysis of bifurcations and chaos in DC/DC converters [J].
di Bernardo, M ;
Vasca, F .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2000, 47 (02) :130-143
[9]   Dynamic output feedback control of switched linear systems [J].
Geromel, Jose C. ;
Colaneri, Patrizio ;
Bolzern, Paolo .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (03) :720-733
[10]   Uniform stability of switched linear systems: Extensions of LaSalle's invariance principle [J].
Hespanha, JP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (04) :470-482