Synthesis of a multivariable nonlinear predictive control based on 2nd order MISO-GOB-Volterra model

Author(s):  
Tarek Garna ◽  
Hassani Messaoud
2016 ◽  
Vol 39 (6) ◽  
pp. 907-920 ◽  
Author(s):  
Anis Khouaja ◽  
Tarek Garna ◽  
José Ragot ◽  
Hassani Messaoud

This paper is concerned with the identification and nonlinear predictive control approach for a nonlinear process based on a third-order reduced complexity, discrete-time Volterra model called the third-order S-PARAFAC Volterra model. The proposed model is given using the PARAFAC tensor decomposition that provides a parametric reduction compared with the conventional Volterra model. In addition, the symmetry property of the Volterra kernels allows us to further reduce the complexity of the model. These properties allow synthesizing a nonlinear model-based predictive control (NMBPC). Then we construct the general form of a new predictor and we propose an optimization algorithm formulated as a quadratic programming (QP) algorithm under linear and nonlinear constraints. The performance of the proposed third-order S-PARAFAC Volterra model and the developed NMBPC algorithm are illustrated on a numerical simulation and validated on a benchmark such as a continuous stirred-tank reactor system.


2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Messaoud Bounkhel ◽  
Lotfi Tadj

We use nonlinear model predictive control to find the optimal harvesting effort of a renewable resource system with a nonlinear state equation that maximizes a nonlinear profit function. A solution approach is proposed and discussed and satisfactory numerical illustrations are provided.


2007 ◽  
Vol 40 (12) ◽  
pp. 216-221 ◽  
Author(s):  
Smaranda Cristea ◽  
César de Prada

2000 ◽  
Vol 33 (10) ◽  
pp. 701-706 ◽  
Author(s):  
Y. Wang ◽  
M. Ohshima ◽  
H. Seki ◽  
S. Ooyama ◽  
K. Akamatsu ◽  
...  

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