Decentralized state feedback robust H∞ control using an evolutionary optimization approach

Hendra G. Harno; Ian R. Petersen

doi:10.23919/ecc.2009.7074846

Decentralized state feedback robust H^∞ control using an evolutionary optimization approach

Hendra G. Harno, Ian R. Petersen

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

1 Citation (Scopus)

Abstract

This paper presents a new method for constructing a decentralized state feedback controller to solve a robust H^∞ control problem for an uncertain linear time-invariant system. The uncertainties in the system are described by Integral Quadratic Constraints. The proposed method involves solving an H^∞ Riccati inequality which is dependent on a set of parameters. The resulting decentralized controller gain matrix has a block diagonal form as the off-diagonal parts of the centralized controller are treated as uncertainties. This approach enables the controller to exploit the interconnections between subsystems. The optimization problem arising in the proposed method is solved using an evolutionary optimization approach, namely the Differential Evolution algorithm.

Original language	English
Title of host publication	2009 European Control Conference, ECC 2009
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2887-2892
Number of pages	6
ISBN (Electronic)	9783952417393
DOIs	https://doi.org/10.23919/ecc.2009.7074846
Publication status	Published - 26 Mar 2014
Externally published	Yes
Event	10th European Control Conference: ECC 2009 - Budapest, Hungary Duration: 23 Aug 2009 → 26 Aug 2009 Conference number: 10th http://ieeexplore.ieee.org/document/7074402/ http://ieeexplore.ieee.org/document/7074461/

Publication series

Name	2009 European Control Conference, ECC 2009

Conference

Conference	10th European Control Conference: ECC 2009
Abbreviated title	ECC
Country/Territory	Hungary
City	Budapest
Period	23/08/09 → 26/08/09
Internet address	http://ieeexplore.ieee.org/document/7074402/ http://ieeexplore.ieee.org/document/7074461/

Access to Document

10.23919/ecc.2009.7074846

Cite this

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title = "Decentralized state feedback robust H∞ control using an evolutionary optimization approach",

abstract = "This paper presents a new method for constructing a decentralized state feedback controller to solve a robust H∞ control problem for an uncertain linear time-invariant system. The uncertainties in the system are described by Integral Quadratic Constraints. The proposed method involves solving an H∞ Riccati inequality which is dependent on a set of parameters. The resulting decentralized controller gain matrix has a block diagonal form as the off-diagonal parts of the centralized controller are treated as uncertainties. This approach enables the controller to exploit the interconnections between subsystems. The optimization problem arising in the proposed method is solved using an evolutionary optimization approach, namely the Differential Evolution algorithm.",

author = "Harno, {Hendra G.} and Petersen, {Ian R.}",

note = "Publisher Copyright: {\textcopyright} 2009 EUCA.; 10th European Control Conference: ECC 2009, ECC ; Conference date: 23-08-2009 Through 26-08-2009",

year = "2014",

month = mar,

day = "26",

doi = "10.23919/ecc.2009.7074846",

language = "English",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

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booktitle = "2009 European Control Conference, ECC 2009",

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}

Harno, HG & Petersen, IR 2014, Decentralized state feedback robust H^∞ control using an evolutionary optimization approach. in 2009 European Control Conference, ECC 2009., 7074846, 2009 European Control Conference, ECC 2009, Institute of Electrical and Electronics Engineers Inc., pp. 2887-2892, 10th European Control Conference: ECC 2009, Budapest, Hungary, 23/08/09. https://doi.org/10.23919/ecc.2009.7074846

Decentralized state feedback robust H^∞ control using an evolutionary optimization approach. / Harno, Hendra G.; Petersen, Ian R.
2009 European Control Conference, ECC 2009. Institute of Electrical and Electronics Engineers Inc., 2014. p. 2887-2892 7074846 (2009 European Control Conference, ECC 2009).

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

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N2 - This paper presents a new method for constructing a decentralized state feedback controller to solve a robust H∞ control problem for an uncertain linear time-invariant system. The uncertainties in the system are described by Integral Quadratic Constraints. The proposed method involves solving an H∞ Riccati inequality which is dependent on a set of parameters. The resulting decentralized controller gain matrix has a block diagonal form as the off-diagonal parts of the centralized controller are treated as uncertainties. This approach enables the controller to exploit the interconnections between subsystems. The optimization problem arising in the proposed method is solved using an evolutionary optimization approach, namely the Differential Evolution algorithm.

AB - This paper presents a new method for constructing a decentralized state feedback controller to solve a robust H∞ control problem for an uncertain linear time-invariant system. The uncertainties in the system are described by Integral Quadratic Constraints. The proposed method involves solving an H∞ Riccati inequality which is dependent on a set of parameters. The resulting decentralized controller gain matrix has a block diagonal form as the off-diagonal parts of the centralized controller are treated as uncertainties. This approach enables the controller to exploit the interconnections between subsystems. The optimization problem arising in the proposed method is solved using an evolutionary optimization approach, namely the Differential Evolution algorithm.

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