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Fuzzy Model Predictive Control for Discrete-Time System with Input Delays

  • Sofiane BououdenEmail author
  • Ilyes Boulkaibet
  • Mohammed Chadli
  • Ivan Zelinka
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 554)

Abstract

In this paper, we present a robust fuzzy model predictive control (RFMPC) for a class of discrete-time system with input delays. The system is represented into a Takagi-Sugeno (T-S) discrete fuzzy model. Based on the Lyapunov functions theory, some required sufficient conditions are established in terms of linear-matrix inequalities (LMIs). The provided conditions are obtained through a fuzzy Lyapunov function candidate and a non-PDC control law, which can guarantee that the resulting closed-loop fuzzy system is asymptotically stable. A numerical example is provided to illustrate the effectiveness of the control algorithm.

Keywords

Takagi–Sugeno (T–S) fuzzy system Time-delays Model predictive control Linear-matrix inequalities (LMIs) 

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Sofiane Bououden
    • 1
    Email author
  • Ilyes Boulkaibet
    • 2
  • Mohammed Chadli
    • 3
  • Ivan Zelinka
    • 4
  1. 1.Department of Industrial EngineeringUniversity Abbes LaghrourKhenchelaAlgeria
  2. 2.University of JohannesburgJohannesburgSouth Africa
  3. 3.University of Picardie Jules Verne-MISAmiensFrance
  4. 4.Faculty of Electrical Engineering and Computer ScienceVŠB-TUOOstravaCzech Republic

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