Improved robust model predictive control with structural uncertainty

Le Feng; Jianliang Wang; Engkee Poh; Fang Liao

doi:10.1109/ICARCV.2006.345196

Improved robust model predictive control with structural uncertainty

Le Feng, Jianliang Wang, Engkee Poh, Fang Liao

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

Abstract

In this paper, a dilation of the LMI characterization is presented to address constrained robust model predictive control (MPC) for a class of uncertain linear systems with structured time-varying uncertainties. The uncertainty is described in linear fractional transformation (LFT) form. It is known such uncertain systems are popularly used in nonlinear system modeling and many other circumstances. By using parameter dependent Lyapunov functions, the designing conservativeness is reduced compared with some well-known MPC approaches. The proposed approach is applied to a two-mass-spring benchmark system to demonstrate the merits.

Original language	English
Title of host publication	9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06
DOIs	https://doi.org/10.1109/ICARCV.2006.345196
Publication status	Published - 2006
Externally published	Yes
Event	9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06 - Singapore, Singapore Duration: 5 Dec 2006 → 8 Dec 2006

Publication series

Name	9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06

Conference

Conference	9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06
Country/Territory	Singapore
City	Singapore
Period	5/12/06 → 8/12/06

Keywords

Linear matrix inequalities
Model predictive control
Parameter dependent lyapunov function
Structured uncertainty

ASJC Scopus subject areas

Computer Science Applications
Computer Vision and Pattern Recognition
Control and Systems Engineering

Access to Document

10.1109/ICARCV.2006.345196

Cite this

@inproceedings{436b8895cac944a8a885e07ff84678d4,

title = "Improved robust model predictive control with structural uncertainty",

abstract = "In this paper, a dilation of the LMI characterization is presented to address constrained robust model predictive control (MPC) for a class of uncertain linear systems with structured time-varying uncertainties. The uncertainty is described in linear fractional transformation (LFT) form. It is known such uncertain systems are popularly used in nonlinear system modeling and many other circumstances. By using parameter dependent Lyapunov functions, the designing conservativeness is reduced compared with some well-known MPC approaches. The proposed approach is applied to a two-mass-spring benchmark system to demonstrate the merits.",

keywords = "Linear matrix inequalities, Model predictive control, Parameter dependent lyapunov function, Structured uncertainty",

author = "Le Feng and Jianliang Wang and Engkee Poh and Fang Liao",

year = "2006",

doi = "10.1109/ICARCV.2006.345196",

language = "English",

isbn = "1424403421",

series = "9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06",

booktitle = "9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06",

note = "9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06 ; Conference date: 05-12-2006 Through 08-12-2006",

}

Feng, L, Wang, J, Poh, E & Liao, F 2006, Improved robust model predictive control with structural uncertainty. in 9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06., 4150106, 9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06, 9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06, Singapore, Singapore, 5/12/06. https://doi.org/10.1109/ICARCV.2006.345196

Improved robust model predictive control with structural uncertainty. / Feng, Le; Wang, Jianliang; Poh, Engkee et al.
9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06. 2006. 4150106 (9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06).

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

TY - GEN

T1 - Improved robust model predictive control with structural uncertainty

AU - Feng, Le

AU - Wang, Jianliang

AU - Poh, Engkee

AU - Liao, Fang

PY - 2006

Y1 - 2006

N2 - In this paper, a dilation of the LMI characterization is presented to address constrained robust model predictive control (MPC) for a class of uncertain linear systems with structured time-varying uncertainties. The uncertainty is described in linear fractional transformation (LFT) form. It is known such uncertain systems are popularly used in nonlinear system modeling and many other circumstances. By using parameter dependent Lyapunov functions, the designing conservativeness is reduced compared with some well-known MPC approaches. The proposed approach is applied to a two-mass-spring benchmark system to demonstrate the merits.

AB - In this paper, a dilation of the LMI characterization is presented to address constrained robust model predictive control (MPC) for a class of uncertain linear systems with structured time-varying uncertainties. The uncertainty is described in linear fractional transformation (LFT) form. It is known such uncertain systems are popularly used in nonlinear system modeling and many other circumstances. By using parameter dependent Lyapunov functions, the designing conservativeness is reduced compared with some well-known MPC approaches. The proposed approach is applied to a two-mass-spring benchmark system to demonstrate the merits.

KW - Linear matrix inequalities

KW - Model predictive control

KW - Parameter dependent lyapunov function

KW - Structured uncertainty

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DO - 10.1109/ICARCV.2006.345196

M3 - Conference contribution

AN - SCOPUS:34547155081

SN - 1424403421

SN - 9781424403424

T3 - 9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06

BT - 9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06

T2 - 9th International Conference on Control, Automation, Robotics and Vision, 2006, ICARCV '06

Y2 - 5 December 2006 through 8 December 2006

ER -

Improved robust model predictive control with structural uncertainty

Abstract

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Conference

Keywords

ASJC Scopus subject areas

Access to Document

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