Abstract
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.
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