On constrained stabilization of discrete-time linear systems

N. Athanasopoulos, A.I. Doban, M. Lazar

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

4 Citations (Scopus)


The concepts of controlled (k, ¿)-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 publicationProceedings of the 2013 21st Mediterranean Conference on Control & Automation (MED), 25-28 June 2013, Chania, Crete, 25-28 June
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
ISBN (Print)978-1-4799-0995-7
Publication statusPublished - 2013


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