A projection-based algorithm for model-order reduction with H2 performance: A convex-optimization setting

Salim Ibrir

doi:10.1016/j.automatica.2018.03.052

A projection-based algorithm for model-order reduction with H₂ performance: A convex-optimization setting

Salim Ibrir

King Fahd University of Petroleum & Minerals

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

14 Scopus citations

Abstract

A suboptimal and a simple solution to the H₂-model-order-reduction problem is given. The proposed procedure is a combination of projection and H₂ Model-order Reduction (MOR) techniques. To show the efficacy of the proposed method, a set of comparisons with classical MOR methods is provided with numerical simulations. The numerical algorithm is subsequently employed in the design of reduced-order nonlinear systems satisfying the Input-to-State Stability (ISS) with respect to their inputs. Reduced-order models for nonlinear electrical circuits are successfully built to demonstrate the usefulness and the performance of the developed procedure.

Original language	English
Pages (from-to)	510-519
Number of pages	10
Journal	Automatica
Volume	93
DOIs	https://doi.org/10.1016/j.automatica.2018.03.052
State	Published - Jul 2018

Bibliographical note

Publisher Copyright:
© 2018 Elsevier Ltd

Keywords

Convex-optimization
Electrical circuits
Input-to-state-stable (ISS) systems
Model-order reduction of nonlinear systems
Suboptimal H-model-order reduction

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

Access to Document

10.1016/j.automatica.2018.03.052

Cite this

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abstract = "A suboptimal and a simple solution to the H2-model-order-reduction problem is given. The proposed procedure is a combination of projection and H2 Model-order Reduction (MOR) techniques. To show the efficacy of the proposed method, a set of comparisons with classical MOR methods is provided with numerical simulations. The numerical algorithm is subsequently employed in the design of reduced-order nonlinear systems satisfying the Input-to-State Stability (ISS) with respect to their inputs. Reduced-order models for nonlinear electrical circuits are successfully built to demonstrate the usefulness and the performance of the developed procedure.",

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KW - Input-to-state-stable (ISS) systems

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