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Robust Control of Switched Linear Systems with Output Switching Strategy

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Abstract

This paper investigates the robust control problem of continuous-time uncertain switched linear systems, using only a switching strategy depending on the plant output. The proposed method is based on linear matrix inequalities (LMIs). A set of slack variables is introduced to reduce the design conservatism, and new sufficient LMI conditions for the synthesis of the controllers are presented. Two examples show that the proposed method has an adequate performance even in situations when the matrices of the linear subsystems are not Hurwitz and offers a simple and efficient solution for this control problem.

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Acknowledgments

The authors gratefully acknowledge the financial support by CAPES, CNPq and FAPESP from Brazil (Process: 2012/12945-7 linked to the Thematic Project—Process: 2011/17610-0) for supporting this work.

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Authors and Affiliations

  1. Instituto Federal de Educação, Ciência e Tecnologia Catarinense (IFC), Campus Videira, Rodovia SC 135, Videira, SC, 89560-000, Brazil

    Edson Italo Mainardi Júnior

  2. Instituto Federal de Educação, Ciência e Tecnologia de São Paulo (IFSP), Campus Presidente Epitácio, Av José Ramos Júnior, 27-50, Presidente Epitácio, SP, 19470-000, Brazil

    Alexandre Ataide Carniato

  3. Laboratório de Pesquisa em Controle (LPC), Departamento de Engenharia Elétrica, Faculdade de Engenharia, Univ Estadual Paulista (UNESP), Campus Ilha Solteira, Avenida José Carlos Rossi, 1370, Ilha Solteira, SP, 15385-000, Brazil

    Marcelo Carvalho Minhoto Teixeira, Rodrigo Cardim, Edvaldo Assunção, Manoel Rodrigo Moreira & Diogo Ramalho de Oliveira

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  1. Edson Italo Mainardi Júnior
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  2. Marcelo Carvalho Minhoto Teixeira
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  3. Rodrigo Cardim
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  5. Manoel Rodrigo Moreira
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  6. Diogo Ramalho de Oliveira
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Correspondence to Edson Italo Mainardi Júnior.

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Mainardi Júnior, E.I., Teixeira, M.C.M., Cardim, R. et al. Robust Control of Switched Linear Systems with Output Switching Strategy. J Control Autom Electr Syst 26, 455–465 (2015). https://doi.org/10.1007/s40313-015-0195-1

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  • DOI: https://doi.org/10.1007/s40313-015-0195-1

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