On constrained stabilization of discrete-time linear systems

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

doi:10.1109/MED.2013.6608819

On constrained stabilization of discrete-time linear systems

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

4 Citations (Scopus)

Abstract

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 language	English
Title of host publication	Proceedings of the 2013 21st Mediterranean Conference on Control & Automation (MED), 25-28 June 2013, Chania, Crete, 25-28 June
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	830-839
ISBN (Print)	978-1-4799-0995-7
DOIs	https://doi.org/10.1109/MED.2013.6608819
Publication status	Published - 2013

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10.1109/MED.2013.6608819

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title = "On constrained stabilization of discrete-time linear systems",

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On constrained stabilization of discrete-time linear systems. / Athanasopoulos, N.; Doban, A.I.; Lazar, M.

Proceedings of the 2013 21st Mediterranean Conference on Control & Automation (MED), 25-28 June 2013, Chania, Crete, 25-28 June. Piscataway : Institute of Electrical and Electronics Engineers, 2013. p. 830-839.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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On constrained stabilization of discrete-time linear systems

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