On constrained stabilization of discrete-time linear systems

Nikolaos Athanasopoulos, Alina I. Doban, Mircea Lazar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)
221 Downloads (Pure)


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.
Original languageEnglish
Title of host publication21st Mediterranean Conference on Control & Automation
Publisher IEEE
ISBN (Electronic)978-1-4799-0997-1
Publication statusPublished - 26 Sep 2013


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