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

Author

Listed:
  • Márcio Roberto Covacic
  • Marcelo Carvalho Minhoto Teixeira
  • Aparecido Augusto de Carvalho
  • Rodrigo Cardim
  • Edvaldo Assunção
  • Marcelo Augusto Assunção Sanches
  • Henrique Shuiti Fujimoto
  • Maxwell Simões Mineo
  • Anderson Ross Biazeto
  • Ruberlei Gaino

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.

Suggested Citation

  • Márcio Roberto Covacic & Marcelo Carvalho Minhoto Teixeira & Aparecido Augusto de Carvalho & Rodrigo Cardim & Edvaldo Assunção & Marcelo Augusto Assunção Sanches & Henrique Shuiti Fujimoto & Maxwell S, 2020. "Robust T-S Fuzzy Control of Electrostimulation for Paraplegic Patients considering Norm-Bounded Uncertainties," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-28, August.
  • Handle: RePEc:hin:jnlmpe:4624657
    DOI: 10.1155/2020/4624657
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