Design of ISS-Lyapunov functions for discrete-time linear uncertain systems

D. Munoz de la Pena; T. Alamo; M. Lazar; W.P.M.H. Heemels

Design of ISS-Lyapunov functions for discrete-time linear uncertain systems

D. Munoz de la Pena
, T. Alamo
, M. Lazar
, W.P.M.H. Heemels

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

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Abstract

In this work we consider robust control of discrete-time linear systems affected by time-varying additive disturbance inputs. We present a linear matrix inequality (LMI) based design technique that takes into account in an explicit manner, by means of a Minkowski function, the shape of the set in which the disturbances are bounded. This technique allows one to obtain tight bounds on the performance of the closed-loop system.

Original language	English
Title of host publication	Proceedings of the 17th IFAC World Congress, July 6 -11 2008, Seoul, South Korea
Editors	Hyung Suck Cho
Place of Publication	Oxford
Publisher	Pergamon
Pages	1135-1140
ISBN (Print)	978-3-902661-00-5
Publication status	Published - 2008

Cite this

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title = "Design of ISS-Lyapunov functions for discrete-time linear uncertain systems",

abstract = "In this work we consider robust control of discrete-time linear systems affected by time-varying additive disturbance inputs. We present a linear matrix inequality (LMI) based design technique that takes into account in an explicit manner, by means of a Minkowski function, the shape of the set in which the disturbances are bounded. This technique allows one to obtain tight bounds on the performance of the closed-loop system.",

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Design of ISS-Lyapunov functions for discrete-time linear uncertain systems. / Munoz de la Pena, D.; Alamo, T.; Lazar, M. et al.
Proceedings of the 17th IFAC World Congress, July 6 -11 2008, Seoul, South Korea. ed. / Hyung Suck Cho. Oxford: Pergamon, 2008. p. 1135-1140.

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

TY - GEN

T1 - Design of ISS-Lyapunov functions for discrete-time linear uncertain systems

AU - Munoz de la Pena, D.

AU - Alamo, T.

AU - Lazar, M.

AU - Heemels, W.P.M.H.

PY - 2008

Y1 - 2008

N2 - In this work we consider robust control of discrete-time linear systems affected by time-varying additive disturbance inputs. We present a linear matrix inequality (LMI) based design technique that takes into account in an explicit manner, by means of a Minkowski function, the shape of the set in which the disturbances are bounded. This technique allows one to obtain tight bounds on the performance of the closed-loop system.

AB - In this work we consider robust control of discrete-time linear systems affected by time-varying additive disturbance inputs. We present a linear matrix inequality (LMI) based design technique that takes into account in an explicit manner, by means of a Minkowski function, the shape of the set in which the disturbances are bounded. This technique allows one to obtain tight bounds on the performance of the closed-loop system.

M3 - Conference contribution

SN - 978-3-902661-00-5

SP - 1135

EP - 1140

BT - Proceedings of the 17th IFAC World Congress, July 6 -11 2008, Seoul, South Korea

A2 - Cho, Hyung Suck

PB - Pergamon

CY - Oxford

ER -

Design of ISS-Lyapunov functions for discrete-time linear uncertain systems

Abstract

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