On constrained stabilization of discrete-time linear systems

Author

Athanasopoulos, Nikolaos ; Doban, Alina I. ; Lazar, Mircea

Author_Institution

Eindhoven Univ. of Technol., Eindhoven, Netherlands

fYear

2013

fDate

25-28 June 2013

Firstpage

830

Lastpage

839

Abstract

The concepts of controlled (k, λ)-contractive sets and set-induced finite-time control Lyapunov functions are introduced in this paper. These tools are then employed to derive new synthesis methods for constrained stabilization of linear systems. Two classes of state-feedback control strategies are proposed, namely, periodic conewise linear control laws and periodic vertex-interpolation control laws. The benefits of these synthesis methods are demonstrated for the constrained stabilization of a DC-DC buck converter.

Keywords

Lyapunov methods; control system synthesis; discrete time systems; linear systems; periodic control; set theory; stability; state feedback; DC-DC buck converter; constrained stabilization; controlled-contractive sets; direct current-direct current buck converter; discrete-time linear systems; periodic conewise linear control laws; periodic vertex-interpolation control laws; set-induced finite-time control Lyapunov functions; state-feedback control strategy; synthesis methods; Complexity theory; Linear programming; Linear systems; Lyapunov methods; Silicon; Standards; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Control & Automation (MED), 2013 21st Mediterranean Conference on

Conference_Location

Chania

Print_ISBN

978-1-4799-0995-7

Type

conf

DOI

10.1109/MED.2013.6608819

Filename

6608819