Fixed-order H∞ and H2 controller design for continuous-time polytopic systems: An LMI-based approach

Mahdieh Sadat Sadabadi; Alireza Karimi

Fixed-order H_∞ and H₂ controller design for continuous-time polytopic systems: An LMI-based approach

Mahdieh Sadat Sadabadi, Alireza Karimi^*

^*Corresponding author for this work

EEE - Academic & Research

Ecole Polytechnique Federale de Lausanne (EPFL)

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

Abstract

In this paper, a new approach for fixed-order H_∞ and H₂ dynamic output-feedback controller design of continuous-time systems with state space polytopic uncertainty is proposed. This approach is based on the use of some instrumental matrices, which operate as a tool to decouple the controller parameters and the Lyapunov matrices. The stability of the closed-loop system as well as H_∞ and H₂ performance criteria are expressed by a set of linear matrix inequalities based upon linearly parameter-dependent Lyapunov matrices. Iterative procedure for updating the instrumental matrices using the previous controller can increase the performance of the approach. Simulation results demonstrate the effectiveness of the proposed method.

Original language	English
Title of host publication	2013 European Control Conference, ECC 2013
Pages	1132-1137
Number of pages	6
Publication status	Published - 2013
Event	2013 12th European Control Conference, ECC 2013 - Zurich, Switzerland Duration: 17 Jul 2013 → 19 Jul 2013

Publication series

Name	2013 European Control Conference, ECC 2013

Conference

Conference	2013 12th European Control Conference, ECC 2013
Country/Territory	Switzerland
City	Zurich
Period	17/07/13 → 19/07/13

Keywords

Controller designs
Controller parameter
Dynamic output-feedback
LMI-based approach
Parameter dependents
Performance criterion
Polytopic system
Polytopic uncertainties

Cite this

@inproceedings{427892ee7d3149f6a85d09c89d71172a,

title = "Fixed-order H∞ and H2 controller design for continuous-time polytopic systems: An LMI-based approach",

abstract = "In this paper, a new approach for fixed-order H∞ and H2 dynamic output-feedback controller design of continuous-time systems with state space polytopic uncertainty is proposed. This approach is based on the use of some instrumental matrices, which operate as a tool to decouple the controller parameters and the Lyapunov matrices. The stability of the closed-loop system as well as H∞ and H2 performance criteria are expressed by a set of linear matrix inequalities based upon linearly parameter-dependent Lyapunov matrices. Iterative procedure for updating the instrumental matrices using the previous controller can increase the performance of the approach. Simulation results demonstrate the effectiveness of the proposed method.",

keywords = "Controller designs, Controller parameter, Dynamic output-feedback, LMI-based approach, Parameter dependents, Performance criterion, Polytopic system, Polytopic uncertainties",

author = "Sadabadi, {Mahdieh Sadat} and Alireza Karimi",

year = "2013",

language = "English",

isbn = "9783033039629",

series = "2013 European Control Conference, ECC 2013",

pages = "1132--1137",

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note = "2013 12th European Control Conference, ECC 2013 ; Conference date: 17-07-2013 Through 19-07-2013",

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T2 - 2013 12th European Control Conference, ECC 2013

AU - Sadabadi, Mahdieh Sadat

AU - Karimi, Alireza

PY - 2013

Y1 - 2013

N2 - In this paper, a new approach for fixed-order H∞ and H2 dynamic output-feedback controller design of continuous-time systems with state space polytopic uncertainty is proposed. This approach is based on the use of some instrumental matrices, which operate as a tool to decouple the controller parameters and the Lyapunov matrices. The stability of the closed-loop system as well as H∞ and H2 performance criteria are expressed by a set of linear matrix inequalities based upon linearly parameter-dependent Lyapunov matrices. Iterative procedure for updating the instrumental matrices using the previous controller can increase the performance of the approach. Simulation results demonstrate the effectiveness of the proposed method.

AB - In this paper, a new approach for fixed-order H∞ and H2 dynamic output-feedback controller design of continuous-time systems with state space polytopic uncertainty is proposed. This approach is based on the use of some instrumental matrices, which operate as a tool to decouple the controller parameters and the Lyapunov matrices. The stability of the closed-loop system as well as H∞ and H2 performance criteria are expressed by a set of linear matrix inequalities based upon linearly parameter-dependent Lyapunov matrices. Iterative procedure for updating the instrumental matrices using the previous controller can increase the performance of the approach. Simulation results demonstrate the effectiveness of the proposed method.

KW - Controller designs

KW - Controller parameter

KW - Dynamic output-feedback

KW - LMI-based approach

KW - Parameter dependents

KW - Performance criterion

KW - Polytopic system

KW - Polytopic uncertainties

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M3 - Conference contribution

AN - SCOPUS:84893280261

SN - 9783033039629

T3 - 2013 European Control Conference, ECC 2013

SP - 1132

EP - 1137

BT - 2013 European Control Conference, ECC 2013

Y2 - 17 July 2013 through 19 July 2013

ER -