Decentralized state feedback robust H∞ control using a differential evolution algorithm

Hendra G. Harno; Ian R. Petersen

doi:10.1002/rnc.2884

Decentralized state feedback robust H^∞ control using a differential evolution algorithm

Hendra G. Harno, Ian R. Petersen^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

This paper presents a new method to synthesize a decentralized state feedback robust H^∞ controller for a class of large-scale linear uncertain systems satisfying integral quadratic constraints. The decentralized controller is constructed by taking only block-diagonal elements of a nondecentralized state feedback controller and treating neglected off-diagonal blocks as uncertainties. A solution to this controller synthesis problem is given in terms of a stabilizing solution to a parametrized algebraic Riccati equation where the parameters are obtained using a differential evolution algorithm.

Original language	English
Pages (from-to)	247-263
Number of pages	17
Journal	International Journal of Robust and Nonlinear Control
Volume	24
Issue number	2
DOIs	https://doi.org/10.1002/rnc.2884
Publication status	Published - 25 Jan 2014
Externally published	Yes

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10.1002/rnc.2884

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title = "Decentralized state feedback robust H∞ control using a differential evolution algorithm",

abstract = "This paper presents a new method to synthesize a decentralized state feedback robust H∞ controller for a class of large-scale linear uncertain systems satisfying integral quadratic constraints. The decentralized controller is constructed by taking only block-diagonal elements of a nondecentralized state feedback controller and treating neglected off-diagonal blocks as uncertainties. A solution to this controller synthesis problem is given in terms of a stabilizing solution to a parametrized algebraic Riccati equation where the parameters are obtained using a differential evolution algorithm.",

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N2 - This paper presents a new method to synthesize a decentralized state feedback robust H∞ controller for a class of large-scale linear uncertain systems satisfying integral quadratic constraints. The decentralized controller is constructed by taking only block-diagonal elements of a nondecentralized state feedback controller and treating neglected off-diagonal blocks as uncertainties. A solution to this controller synthesis problem is given in terms of a stabilizing solution to a parametrized algebraic Riccati equation where the parameters are obtained using a differential evolution algorithm.

AB - This paper presents a new method to synthesize a decentralized state feedback robust H∞ controller for a class of large-scale linear uncertain systems satisfying integral quadratic constraints. The decentralized controller is constructed by taking only block-diagonal elements of a nondecentralized state feedback controller and treating neglected off-diagonal blocks as uncertainties. A solution to this controller synthesis problem is given in terms of a stabilizing solution to a parametrized algebraic Riccati equation where the parameters are obtained using a differential evolution algorithm.

KW - decentralized control

KW - differential evolution

KW - integral quadratic constraint

KW - state feedback

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JF - International Journal of Robust and Nonlinear Control

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ER -

Decentralized state feedback robust H^∞ control using a differential evolution algorithm

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