Robust model predictive control for LPV systems with delayed state using relaxation matrices

S. M. Lee; S. C. Jeong; D. H. Ji; S. C. Won

doi:10.1109/acc.2011.5990636

Robust model predictive control for LPV systems with delayed state using relaxation matrices

S. M. Lee, S. C. Jeong, D. H. Ji, S. C. Won

School of Electronics Engineering

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

8 Scopus citations

Abstract

This paper proposes a model predictive control (MPC) algorithm for Linear Parameter Varying (LPV) systems with unknown bounded delay, subject to input constraints. To deal with the delay, an optimization problem is formulated by applying the equivalence property. Sufficient conditions are derived in terms of linear matrix inequalities (LMIs) using relaxation matrices, satisfying the terminal inequality. The proposed MPC algorithm with the conditions guarantees the asymptotic stability of the closed-loop system. A numerical example is presented to illustrate the effectiveness of the proposed method.

Original language	English
Title of host publication	Proceedings of the 2011 American Control Conference, ACC 2011
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	716-721
Number of pages	6
ISBN (Print)	9781457700804
DOIs	https://doi.org/10.1109/acc.2011.5990636
State	Published - 2011

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

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10.1109/acc.2011.5990636

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Lee, S. M., Jeong, S. C., Ji, D. H., & Won, S. C. (2011). Robust model predictive control for LPV systems with delayed state using relaxation matrices. In Proceedings of the 2011 American Control Conference, ACC 2011 (pp. 716-721). Article 5990636 (Proceedings of the American Control Conference). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/acc.2011.5990636

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title = "Robust model predictive control for LPV systems with delayed state using relaxation matrices",

abstract = "This paper proposes a model predictive control (MPC) algorithm for Linear Parameter Varying (LPV) systems with unknown bounded delay, subject to input constraints. To deal with the delay, an optimization problem is formulated by applying the equivalence property. Sufficient conditions are derived in terms of linear matrix inequalities (LMIs) using relaxation matrices, satisfying the terminal inequality. The proposed MPC algorithm with the conditions guarantees the asymptotic stability of the closed-loop system. A numerical example is presented to illustrate the effectiveness of the proposed method.",

author = "Lee, {S. M.} and Jeong, {S. C.} and Ji, {D. H.} and Won, {S. C.}",

year = "2011",

doi = "10.1109/acc.2011.5990636",

language = "English",

isbn = "9781457700804",

series = "Proceedings of the American Control Conference",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "716--721",

booktitle = "Proceedings of the 2011 American Control Conference, ACC 2011",

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}

Lee, SM, Jeong, SC, Ji, DH & Won, SC 2011, Robust model predictive control for LPV systems with delayed state using relaxation matrices. in Proceedings of the 2011 American Control Conference, ACC 2011., 5990636, Proceedings of the American Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 716-721. https://doi.org/10.1109/acc.2011.5990636

Robust model predictive control for LPV systems with delayed state using relaxation matrices. / Lee, S. M.; Jeong, S. C.; Ji, D. H. et al.
Proceedings of the 2011 American Control Conference, ACC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 716-721 5990636 (Proceedings of the American Control Conference).

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

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N2 - This paper proposes a model predictive control (MPC) algorithm for Linear Parameter Varying (LPV) systems with unknown bounded delay, subject to input constraints. To deal with the delay, an optimization problem is formulated by applying the equivalence property. Sufficient conditions are derived in terms of linear matrix inequalities (LMIs) using relaxation matrices, satisfying the terminal inequality. The proposed MPC algorithm with the conditions guarantees the asymptotic stability of the closed-loop system. A numerical example is presented to illustrate the effectiveness of the proposed method.

AB - This paper proposes a model predictive control (MPC) algorithm for Linear Parameter Varying (LPV) systems with unknown bounded delay, subject to input constraints. To deal with the delay, an optimization problem is formulated by applying the equivalence property. Sufficient conditions are derived in terms of linear matrix inequalities (LMIs) using relaxation matrices, satisfying the terminal inequality. The proposed MPC algorithm with the conditions guarantees the asymptotic stability of the closed-loop system. A numerical example is presented to illustrate the effectiveness of the proposed method.

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BT - Proceedings of the 2011 American Control Conference, ACC 2011

PB - Institute of Electrical and Electronics Engineers Inc.

ER -

Robust model predictive control for LPV systems with delayed state using relaxation matrices

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