Title :
On constrained stabilization of discrete-time linear systems
Author :
Athanasopoulos, Nikolaos ; Doban, Alina I. ; Lazar, Mircea
Author_Institution :
Eindhoven Univ. of Technol., Eindhoven, Netherlands
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;
Conference_Titel :
Control & Automation (MED), 2013 21st Mediterranean Conference on
Conference_Location :
Chania
Print_ISBN :
978-1-4799-0995-7
DOI :
10.1109/MED.2013.6608819
