An MPC approach for LPV systems in input-output form

H.S. Abbas; R. Toth; N. Meskin; J. Mohammadpour; J. Hanema

doi:10.1109/CDC.2015.7402091

An MPC approach for LPV systems in input-output form

H.S. Abbas, R. Toth, N. Meskin, J. Mohammadpour, J. Hanema

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

19 Citations (Scopus)

7 Downloads (Pure)

Abstract

In this paper, a discrete-time model predictive control (MPC) design approach is proposed to control systems described by linear parameter-varying (LPV) models in input-output form subject to constraints. To ensure stability of the closed-loop system, a quadratic terminal cost along with an ellipsoidal terminal constraint are included in the control optimization problem. The proposed scheme is a robust LPV-MPC scheme, which considers future values of the scheduling variable being uncertain and varying inside a prescribed polytope. The MPC design problem is formulated as a linear matrix inequality (LMI) problem. The effectiveness of the proposed LPV-MPC design is demonstrated using a numerical example.

Original language	English
Title of host publication	54th IEEE Conference on Decision and Control (CDC 2015), 15-18 December 2015, Osaka, Japan
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	91-96
ISBN (Electronic)	978-1-4799-7885-4
ISBN (Print)	978-1-4799-7884-7
DOIs	https://doi.org/10.1109/CDC.2015.7402091
Publication status	Published - 2015
Event	54th IEEE Conference on Decision and Control (CDC 2015) - "Osaka International Convention Center", Osaka, Japan Duration: 15 Dec 2015 → 18 Dec 2015 Conference number: 54 http://www.cdc2015.ctrl.titech.ac.jp/

Conference

Conference	54th IEEE Conference on Decision and Control (CDC 2015)
Abbreviated title	CDC 2015
Country/Territory	Japan
City	Osaka
Period	15/12/15 → 18/12/15
Internet address	http://www.cdc2015.ctrl.titech.ac.jp/

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10.1109/CDC.2015.7402091

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title = "An MPC approach for LPV systems in input-output form",

abstract = "In this paper, a discrete-time model predictive control (MPC) design approach is proposed to control systems described by linear parameter-varying (LPV) models in input-output form subject to constraints. To ensure stability of the closed-loop system, a quadratic terminal cost along with an ellipsoidal terminal constraint are included in the control optimization problem. The proposed scheme is a robust LPV-MPC scheme, which considers future values of the scheduling variable being uncertain and varying inside a prescribed polytope. The MPC design problem is formulated as a linear matrix inequality (LMI) problem. The effectiveness of the proposed LPV-MPC design is demonstrated using a numerical example.",

author = "H.S. Abbas and R. Toth and N. Meskin and J. Mohammadpour and J. Hanema",

year = "2015",

doi = "10.1109/CDC.2015.7402091",

language = "English",

isbn = "978-1-4799-7884-7",

pages = "91--96",

booktitle = "54th IEEE Conference on Decision and Control (CDC 2015), 15-18 December 2015, Osaka, Japan",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

note = "54th IEEE Conference on Decision and Control (CDC 2015), CDC 2015 ; Conference date: 15-12-2015 Through 18-12-2015",

url = "http://www.cdc2015.ctrl.titech.ac.jp/",

}

Abbas, HS, Toth, R, Meskin, N, Mohammadpour, J & Hanema, J 2015, An MPC approach for LPV systems in input-output form. in 54th IEEE Conference on Decision and Control (CDC 2015), 15-18 December 2015, Osaka, Japan. Institute of Electrical and Electronics Engineers, Piscataway, pp. 91-96, 54th IEEE Conference on Decision and Control (CDC 2015), Osaka, Japan, 15/12/15. https://doi.org/10.1109/CDC.2015.7402091

An MPC approach for LPV systems in input-output form. / Abbas, H.S.; Toth, R.; Meskin, N. et al.
54th IEEE Conference on Decision and Control (CDC 2015), 15-18 December 2015, Osaka, Japan. Piscataway: Institute of Electrical and Electronics Engineers, 2015. p. 91-96.

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

TY - GEN

T1 - An MPC approach for LPV systems in input-output form

AU - Abbas, H.S.

AU - Toth, R.

AU - Meskin, N.

AU - Mohammadpour, J.

AU - Hanema, J.

N1 - Conference code: 54

PY - 2015

Y1 - 2015

N2 - In this paper, a discrete-time model predictive control (MPC) design approach is proposed to control systems described by linear parameter-varying (LPV) models in input-output form subject to constraints. To ensure stability of the closed-loop system, a quadratic terminal cost along with an ellipsoidal terminal constraint are included in the control optimization problem. The proposed scheme is a robust LPV-MPC scheme, which considers future values of the scheduling variable being uncertain and varying inside a prescribed polytope. The MPC design problem is formulated as a linear matrix inequality (LMI) problem. The effectiveness of the proposed LPV-MPC design is demonstrated using a numerical example.

AB - In this paper, a discrete-time model predictive control (MPC) design approach is proposed to control systems described by linear parameter-varying (LPV) models in input-output form subject to constraints. To ensure stability of the closed-loop system, a quadratic terminal cost along with an ellipsoidal terminal constraint are included in the control optimization problem. The proposed scheme is a robust LPV-MPC scheme, which considers future values of the scheduling variable being uncertain and varying inside a prescribed polytope. The MPC design problem is formulated as a linear matrix inequality (LMI) problem. The effectiveness of the proposed LPV-MPC design is demonstrated using a numerical example.

U2 - 10.1109/CDC.2015.7402091

DO - 10.1109/CDC.2015.7402091

M3 - Conference contribution

SN - 978-1-4799-7884-7

SP - 91

EP - 96

BT - 54th IEEE Conference on Decision and Control (CDC 2015), 15-18 December 2015, Osaka, Japan

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

T2 - 54th IEEE Conference on Decision and Control (CDC 2015)

Y2 - 15 December 2015 through 18 December 2015

ER -

An MPC approach for LPV systems in input-output form

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