Robust T-S Fuzzy Control of Electrostimulation for Paraplegic Patients considering Norm-Bounded Uncertainties

Author:

Covacic Márcio Roberto1ORCID,Minhoto Teixeira Marcelo Carvalho2ORCID,Augusto de Carvalho Aparecido2,Cardim Rodrigo2ORCID,Assunção Edvaldo2ORCID,Sanches Marcelo Augusto Assunção2,Fujimoto Henrique Shuiti1,Mineo Maxwell Simões1,Biazeto Anderson Ross2,Gaino Ruberlei1

Affiliation:

1. Department of Electrical Engineering, State University of Londrina, Rodovia Celso Garcia Cid (PR 445), Km 380, Londrina 86057-970, Paraná, Brazil

2. Department of Electrical Engineering, São Paulo State University (UNESP), 1370 Prof. José Carlos Rossi Avenue, Ilha Solteira 15385-000, Brazil

Abstract

This manuscript presents a Takagi–Sugeno fuzzy control for a mathematical model of the knee position of paraplegic patients using functional electrical stimulation (FES). Each local model of the fuzzy system is represented considering norm-bounded uncertainties. After obtaining the model of FES with norm-bounded uncertainties, the fuzzy control strategy is designed through the solution of linear matrix inequalities (LMIs) using the conditions available in the literature, which consider these norm-bounded uncertainties. The strategy considers decay rate and constraints on the input signal. The model is simulated in the Matlab environment using the numerical parameters measured by experimental tests from a paraplegic patient.

Funder

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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