Stabilizing switching rule design for affine switched systems

Author

Trofino, Alexandre ; Scharlau, César C. ; Dezuo, Tiago J M ; De Oliveira, Mauricio C.

Author_Institution

Dept. of Autom. & Syst. Eng., Fed. Univ. of Santa Catarina, Florianópolis, Brazil

fYear

2011

fDate

12-15 Dec. 2011

Firstpage

1183

Lastpage

1188

Abstract

We propose a method for designing switching rules that can drive the state of the switched dynamic system to a desired equilibrium point. The method deals with the class of switched systems where each sub-system has an affine vector field. The results are given in terms of linear matrix inequalities and they guarantee global asymptotic stability of the tracking error dynamics even if sliding motion occurs along a switching surface of the system. The switching rules are based on complete and partial state measurements. Two examples are used to illustrate the approach.

Keywords

asymptotic stability; control system synthesis; linear matrix inequalities; motion control; time-varying systems; affine switched system; affine vector field; error dynamics tracking; global asymptotic stability; linear matrix inequality; partial state measurement; sliding motion; switched dynamic system; switching rule design; switching surface; Dynamics; Eigenvalues and eigenfunctions; Switched systems; Switches; Symmetric matrices; Trajectory; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on

Conference_Location

Orlando, FL

ISSN

0743-1546

Print_ISBN

978-1-61284-800-6

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2011.6160249

Filename

6160249