Nonlinear feedback switching rule design for sector‐bounded switched systems

Author:

Lunardi Henrique1ORCID,Dezuo Tiago1ORCID,Trofino Alexandre2ORCID

Affiliation:

1. Department of Electrical Engineering Santa Catarina State University (Udesc) Joinville Brazil

2. Department of Automation and Systems Engineering Federal University of Santa Catarina (UFSC) Florianópolis Brazil

Abstract

AbstractThis article presents a robust switching rule design technique for a class of nonlinear and uncertain switched systems. The approach is based on a state transformation that allows for nonlinear state feedback. The results are given in terms of linear matrix inequality problems and they guarantee global asymptotic stability of the closed‐loop system even if sliding modes occur on any switching surface. The class of systems considered is general enough to include multiple time varying sector‐bounded nonlinearities associated with real‐time changes in the operation point. The potential of the method is illustrated through photovoltaic systems, in which the nonlinear I–V characteristic of the modules is treated as a sector‐bounded function. As the slope of the sectors depend on the environmental conditions, robust sectors containing the nonlinearities for any uncertain uniform operation condition are derived.

Funder

Fundação de Amparo à Pesquisa e Inovação do Estado de Santa Catarina

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Mechanical Engineering,Aerospace Engineering,Biomedical Engineering,General Chemical Engineering,Control and Systems Engineering

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