Properties of generalized predictive control
Automatica (Journal of IFAC) - Identification and systems parameter estimation
Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
SIAM Journal on Optimization
SIAM Journal on Optimization
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This paper deals with a derivative-free constrained predictive control of nonlinear systems. The Nonlinear AutoRegressive Moving Average (NARMA) model is used to characterize the behavior of the plant. Consequently, the optimization problem is no longer convex. The paper presents the optimization of the problem by using an improved version of the Nelder-Mead algorithm which does not require the calculation of the derivative of the criterion and which can converge towards the global minimum. Simulation results are presented to illustrate the effectiveness of the proposed method.