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On Robust Switched Controller Design to Minimize the Guaranteed Cost of Polynomial Fuzzy Systems

Author(s): Ramos, Igor T. M. [UNESP] ; Alves, Uiliam Nelson L. T. [UNESP] ; Teixeira, Marcelo C. M. ; Assuncao, Edvaldo [UNESP] ; Cardim, Rodrigo [UNESP] ; Lazarini, Adalberto Z. N. [UNESP]

Date: 2020

Persistent ID: http://hdl.handle.net/11449/201257

Origin: Oasisbr

Subject(s): Guaranteed Cost; Polynomial Fuzzy Model; Sum of Squares; Switched Controllers; Uncertain Nonlinear System; Guaranteed Cost; Guaranteed Cost; Polynomial Fuzzy Model; Polynomial Fuzzy Model; Sum of Squares; Sum of Squares; Switched Controllers; Switched Controllers; Uncertain Nonlinear System; Uncertain Nonlinear System


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Made available in DSpace on 2020-12-12T02:28:02Z (GMT). No. of bitstreams: 0 Previous issue date: 2019-06-01

This paper presents a robust switched controller design to minimize an upper bound of a quadratic index (guaranteed cost) based on the output and the control input of uncertain nonlinear systems described by polynomial fuzzy models (PFM). The proposed switched controller is based on the minimization of the derivative of the Lyapunov function and does not require the knowledge of the membership functions to compose the control signal, which may be uncertain or whose obtainment may be difficult. The class of nonlinear systems considered in this paper can be exactly described by PFM, and it is possible to obtain a global model representation without the specification of an operation region. A numerical example illustrates the effectiveness of the proposed switched controller and presents a comparative study with the results obtained using a controller composed only of a single gain.

Department of Electrical Engineering UNESP - São Paulo State University School of Engineering

IFPR Federal Institute of Education Science and Technology of Parana

Department of Electrical Engineering UNESP - São Paulo State University School of Engineering

Document Type Other
Language English
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