A projection-based algorithm for model-order reduction with H2 performance: A convex-optimization setting. (July 2018)

• Record Type: Journal Article
• Authors: Ibrir, Salim
• Is Part Of: Automatica. Volume 93(2018)
• Page Start: 510
• Page End: 519
• Publication Date: 2018-07
• Subjects: Suboptimal H2-model-order reduction -- Model-order reduction of nonlinear systems -- Electrical circuits -- Convex-optimization -- Input-to-state-stable (ISS) systems; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2018.03.052
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: A suboptimal and a simple solution to the H 2 -model-order-reduction problem is given. The proposed procedure is a combination of projection and H 2 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.