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

3 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

Access to Document

10.1109/MED.2013.6608819

Cite this

@inproceedings{31eb926e810a4b3280c2a25b72b8926b,

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

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.",

author = "N. Athanasopoulos and A.I. Doban and M. Lazar",

year = "2013",

doi = "10.1109/MED.2013.6608819",

language = "English",

isbn = "978-1-4799-0995-7",

pages = "830--839",

booktitle = "Proceedings of the 2013 21st Mediterranean Conference on Control & Automation (MED), 25-28 June 2013, Chania, Crete, 25-28 June",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

}

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

TY - GEN

T1 - On constrained stabilization of discrete-time linear systems

AU - Athanasopoulos, N.

AU - Doban, A.I.

AU - Lazar, M.

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

U2 - 10.1109/MED.2013.6608819

DO - 10.1109/MED.2013.6608819

M3 - Conference contribution

SN - 978-1-4799-0995-7

SP - 830

EP - 839

BT - Proceedings of the 2013 21st Mediterranean Conference on Control & Automation (MED), 25-28 June 2013, Chania, Crete, 25-28 June

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

ER -

On constrained stabilization of discrete-time linear systems

Abstract

Access to Document

Fingerprint

Cite this