A robust control strategy for a class of distributed network with transmission delays: LMI-based model predictive controller

S. Vahid Naghavi, A. A. Safavi, Mohammad Hassan Khooban, S. Pourdehi, Valiollah Ghaffari

Research output: Contribution to journalJournal articleResearchpeer-review

5 Citations (Scopus)

Abstract

Purpose
The purpose of this paper is to concern the design of a robust model predictive controller for distributed networked systems with transmission delays.

Design/methodology/approach
The overall system is composed of a number of interconnected nonlinear subsystems with time-varying transmission delays. A distributed networked system with transmission delays is modeled as a nonlinear system with a time-varying delay. Time delays appear in distributed systems due to the information transmission in the communication network or transport of material between the sub-plants. In real applications, the states may not be available directly and it could be a challenge to address the control problem in interconnected systems using a centralized architecture because of the constraints on the computational capabilities and the communication bandwidth. The controller design is characterized as an optimization problem of a “worst-case” objective function over an infinite moving horizon.

Findings
The aim is to propose control synthesis approach that depends on nonlinearity and time varying delay characteristics. The MPC problem is represented in a time varying delayed state feedback structure. Then the synthesis sufficient condition is provided in the form of a linear matrix inequality (LMI) optimization and is solved online at each time instant. In the rest, an LMI-based decentralized observer-based robust model predictive control strategy is proposed.

Originality/value
The authors develop RMPC strategies for a class of distributed networked systems with transmission delays using LMI-Based technique. To evaluate the applicability of the developed approach, the control design of a networked chemical reactor plant with two sub-plants is studied. The simulation results show the effectiveness of the proposed method.
Original languageEnglish
JournalCOMPEL
Volume35
Issue number5
Pages (from-to)1786-1813
Number of pages28
ISSN0332-1649
DOIs
Publication statusPublished - Apr 2016

Fingerprint

Distributed Networks
Robust control
Robust Control
Linear matrix inequalities
Matrix Inequality
Control Strategy
Linear Inequalities
Controller
Controllers
Time-varying Delay
Time-varying
Synthesis
Chemical Reactors
Chemical reactors
Interconnected Systems
Model
Model predictive control
Model Predictive Control
State feedback
State Feedback

Keywords

  • Robust model predictive control
  • Distributed networked systems
  • Time-varying delay
  • LMI
  • Chemical reactor plant

Cite this

Vahid Naghavi, S. ; A. Safavi, A. ; Khooban, Mohammad Hassan ; Pourdehi, S. ; Ghaffari, Valiollah . / A robust control strategy for a class of distributed network with transmission delays : LMI-based model predictive controller. In: COMPEL. 2016 ; Vol. 35, No. 5. pp. 1786-1813.
@article{cdcef9f62e5c472a8ad651ff9b890a1b,
title = "A robust control strategy for a class of distributed network with transmission delays: LMI-based model predictive controller",
abstract = "PurposeThe purpose of this paper is to concern the design of a robust model predictive controller for distributed networked systems with transmission delays.Design/methodology/approachThe overall system is composed of a number of interconnected nonlinear subsystems with time-varying transmission delays. A distributed networked system with transmission delays is modeled as a nonlinear system with a time-varying delay. Time delays appear in distributed systems due to the information transmission in the communication network or transport of material between the sub-plants. In real applications, the states may not be available directly and it could be a challenge to address the control problem in interconnected systems using a centralized architecture because of the constraints on the computational capabilities and the communication bandwidth. The controller design is characterized as an optimization problem of a “worst-case” objective function over an infinite moving horizon.FindingsThe aim is to propose control synthesis approach that depends on nonlinearity and time varying delay characteristics. The MPC problem is represented in a time varying delayed state feedback structure. Then the synthesis sufficient condition is provided in the form of a linear matrix inequality (LMI) optimization and is solved online at each time instant. In the rest, an LMI-based decentralized observer-based robust model predictive control strategy is proposed.Originality/valueThe authors develop RMPC strategies for a class of distributed networked systems with transmission delays using LMI-Based technique. To evaluate the applicability of the developed approach, the control design of a networked chemical reactor plant with two sub-plants is studied. The simulation results show the effectiveness of the proposed method.",
keywords = "Robust model predictive control, Distributed networked systems, Time-varying delay, LMI, Chemical reactor plant",
author = "{Vahid Naghavi}, S. and {A. Safavi}, A. and Khooban, {Mohammad Hassan} and S. Pourdehi and Valiollah Ghaffari",
year = "2016",
month = "4",
doi = "10.1108/COMPEL-08-2015-0287",
language = "English",
volume = "35",
pages = "1786--1813",
journal = "COMPEL",
issn = "0332-1649",
publisher = "JAI Press",
number = "5",

}

A robust control strategy for a class of distributed network with transmission delays : LMI-based model predictive controller. / Vahid Naghavi, S.; A. Safavi, A.; Khooban, Mohammad Hassan; Pourdehi, S.; Ghaffari, Valiollah .

In: COMPEL, Vol. 35, No. 5, 04.2016, p. 1786-1813.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - A robust control strategy for a class of distributed network with transmission delays

T2 - LMI-based model predictive controller

AU - Vahid Naghavi, S.

AU - A. Safavi, A.

AU - Khooban, Mohammad Hassan

AU - Pourdehi, S.

AU - Ghaffari, Valiollah

PY - 2016/4

Y1 - 2016/4

N2 - PurposeThe purpose of this paper is to concern the design of a robust model predictive controller for distributed networked systems with transmission delays.Design/methodology/approachThe overall system is composed of a number of interconnected nonlinear subsystems with time-varying transmission delays. A distributed networked system with transmission delays is modeled as a nonlinear system with a time-varying delay. Time delays appear in distributed systems due to the information transmission in the communication network or transport of material between the sub-plants. In real applications, the states may not be available directly and it could be a challenge to address the control problem in interconnected systems using a centralized architecture because of the constraints on the computational capabilities and the communication bandwidth. The controller design is characterized as an optimization problem of a “worst-case” objective function over an infinite moving horizon.FindingsThe aim is to propose control synthesis approach that depends on nonlinearity and time varying delay characteristics. The MPC problem is represented in a time varying delayed state feedback structure. Then the synthesis sufficient condition is provided in the form of a linear matrix inequality (LMI) optimization and is solved online at each time instant. In the rest, an LMI-based decentralized observer-based robust model predictive control strategy is proposed.Originality/valueThe authors develop RMPC strategies for a class of distributed networked systems with transmission delays using LMI-Based technique. To evaluate the applicability of the developed approach, the control design of a networked chemical reactor plant with two sub-plants is studied. The simulation results show the effectiveness of the proposed method.

AB - PurposeThe purpose of this paper is to concern the design of a robust model predictive controller for distributed networked systems with transmission delays.Design/methodology/approachThe overall system is composed of a number of interconnected nonlinear subsystems with time-varying transmission delays. A distributed networked system with transmission delays is modeled as a nonlinear system with a time-varying delay. Time delays appear in distributed systems due to the information transmission in the communication network or transport of material between the sub-plants. In real applications, the states may not be available directly and it could be a challenge to address the control problem in interconnected systems using a centralized architecture because of the constraints on the computational capabilities and the communication bandwidth. The controller design is characterized as an optimization problem of a “worst-case” objective function over an infinite moving horizon.FindingsThe aim is to propose control synthesis approach that depends on nonlinearity and time varying delay characteristics. The MPC problem is represented in a time varying delayed state feedback structure. Then the synthesis sufficient condition is provided in the form of a linear matrix inequality (LMI) optimization and is solved online at each time instant. In the rest, an LMI-based decentralized observer-based robust model predictive control strategy is proposed.Originality/valueThe authors develop RMPC strategies for a class of distributed networked systems with transmission delays using LMI-Based technique. To evaluate the applicability of the developed approach, the control design of a networked chemical reactor plant with two sub-plants is studied. The simulation results show the effectiveness of the proposed method.

KW - Robust model predictive control

KW - Distributed networked systems

KW - Time-varying delay

KW - LMI

KW - Chemical reactor plant

U2 - 10.1108/COMPEL-08-2015-0287

DO - 10.1108/COMPEL-08-2015-0287

M3 - Journal article

VL - 35

SP - 1786

EP - 1813

JO - COMPEL

JF - COMPEL

SN - 0332-1649

IS - 5

ER -