On practical stabilizability of discrete-time switched affine systems

Author

Xu, Xuping ; Zhai, Guisheng ; He, Shouling

Author_Institution

Electr. & Comput. Eng., California Baptist Univ., Riverside, CA, USA

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

2144

Lastpage

2149

Abstract

Practical stabilizability of discrete-time (DT) switched systems is studied in this paper. We first prove a sufficient condition for Â¿-practical asymptotic stabilizability of DT switched systems, then we focus on switched affine systems and present an approach to estimating the minimum bound for practical stabilizability. Based on the approach, we present several new sufficient conditions for global Â¿-practical asymptotic stabilizability of such systems. Since DT switched affine systems are often derived by sampling continuous-time (CT) switched systems, we finally present some preliminary results on the relationship between CT and DT switched affine systems.

Keywords

asymptotic stability; continuous time systems; discrete time systems; time-varying systems; asymptotic stabilizability; continuous time systems; discrete-time switched systems; practical stabilizability; switched affine systems; Helium; Mechanical engineering; Sampling methods; Stability; Strontium; Sufficient conditions; Switched systems; Switches; USA Councils;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5400882

Filename

5400882