In this work, we propose an approach for the application of the input constrained generalized predictive control, GPC, to nonlinear systems. To solve the problem of non linearity of the system, we propose a method of fuzzy modeling of Sugeno closely connected the concepts of multi model. On the other hand, we propose and compare methods for online solution of the constrained optimization problem which are variants of the classical Dichotomy and gradient conjugate method. The simulation study is carried for the control of continuously stirred reactor, CSTR
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