Improved robust model predictive control with structured uncertainty

Le Feng; Jian Liang Wang; Eng Kee Poh

doi:10.1016/j.jprocont.2007.01.008

Improved robust model predictive control with structured uncertainty

Le Feng, Jian Liang Wang, Eng Kee Poh

Research output: Journal Publication › Article › peer-review

39 Citations (Scopus)

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. By introducing slack variables and using parameter dependent Lyapunov functions, the design conservativeness is reduced compared with other existing MPC approaches. The proposed approach is applied to an industrial CSTR benchmark system to demonstrate the merits of our proposed solution.

Original language	English
Pages (from-to)	683-688
Number of pages	6
Journal	Journal of Process Control
Volume	17
Issue number	8
DOIs	https://doi.org/10.1016/j.jprocont.2007.01.008
Publication status	Published - Sept 2007
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Computer Science Applications
Industrial and Manufacturing Engineering

Access to Document

10.1016/j.jprocont.2007.01.008

Cite this

@article{b95efa4e49d642a2a969000738bc566e,

title = "Improved robust model predictive control with structured 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. By introducing slack variables and using parameter dependent Lyapunov functions, the design conservativeness is reduced compared with other existing MPC approaches. The proposed approach is applied to an industrial CSTR benchmark system to demonstrate the merits of our proposed solution.",

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

author = "Le Feng and Wang, {Jian Liang} and Poh, {Eng Kee}",

year = "2007",

month = sep,

doi = "10.1016/j.jprocont.2007.01.008",

language = "English",

volume = "17",

pages = "683--688",

journal = "Journal of Process Control",

issn = "0959-1524",

publisher = "Elsevier Ltd.",

number = "8",

}

TY - JOUR

T1 - Improved robust model predictive control with structured uncertainty

AU - Feng, Le

AU - Wang, Jian Liang

AU - Poh, Eng Kee

PY - 2007/9

Y1 - 2007/9

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. By introducing slack variables and using parameter dependent Lyapunov functions, the design conservativeness is reduced compared with other existing MPC approaches. The proposed approach is applied to an industrial CSTR benchmark system to demonstrate the merits of our proposed solution.

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. By introducing slack variables and using parameter dependent Lyapunov functions, the design conservativeness is reduced compared with other existing MPC approaches. The proposed approach is applied to an industrial CSTR benchmark system to demonstrate the merits of our proposed solution.

KW - Linear matrix inequalities

KW - Model predictive control

KW - Parameter dependent Lyapunov function

KW - Structured uncertainty

UR - http://www.scopus.com/inward/record.url?scp=34250616257&partnerID=8YFLogxK

U2 - 10.1016/j.jprocont.2007.01.008

DO - 10.1016/j.jprocont.2007.01.008

M3 - Article

AN - SCOPUS:34250616257

SN - 0959-1524

VL - 17

SP - 683

EP - 688

JO - Journal of Process Control

JF - Journal of Process Control

IS - 8

ER -

Improved robust model predictive control with structured uncertainty

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this