LMI Approach of Constrained Fuzzy Model Predictive Control of DC-DC Boost Converter

  • S. Bououden
  • M. Chadli
  • Ivan Zelinka
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 289)


In this paper, we propose a fuzzy model predictive control (FMPC) using Linear matrix inequalities (LMIs) approach for the voltage tracking control of a DC-DC Boost converter. A mathematical model is required to synthesis this controller, the typically used model is the averaged model, which describes the converter behavior on the operating point. Boost converter has a nonlinear dynamic behavior; the Takagi–Sugeno (T–S) fuzzy model is used to represent the state-space model of nonlinear system where the consequent part of the fuzzy rule is replaced by linear systems. Based on this model, we formulate and solve a constrained optimal control problem using linear matrix inequalities approach.


Predictive controller non-linear systems Boost converter averaged model LMI approach 


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • S. Bououden
    • 1
    • 2
  • M. Chadli
    • 3
  • Ivan Zelinka
    • 4
  1. 1.Faculty of sciences and technologyUniversity of Abbes Laghrour KhenchelaKhenchelaAlgeria
  2. 2.Laboratory of automatic and roboticUniversity Constantine1ConstantineAlgeria
  3. 3.University of Picardie Jules VerneAmiensFrance
  4. 4.Faculty of Electrical Engineering and Computer ScienceVŠB-TUOOstrava-PorubaCzech Republic

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