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Open AccessArticle

Advanced Construction of the Dynamic Matrix in Numerically Efficient Fuzzy MPC Algorithms

Institute of Control and Computation Engineering, Warsaw University of Technology, Nowowiejska 15/19, 00-665 Warszawa, Poland
Received: 7 December 2020 / Revised: 13 January 2021 / Accepted: 14 January 2021 / Published: 17 January 2021
(This article belongs to the Special Issue Model Predictive Control: Algorithms and Applications)
A method for the advanced construction of the dynamic matrix for Model Predictive Control (MPC) algorithms with linearization is proposed in the paper. It extends numerically efficient fuzzy algorithms utilizing skillful linearization. The algorithms combine the control performance offered by the MPC algorithms with nonlinear optimization (NMPC algorithms) with the numerical efficiency of the MPC algorithms based on linear models in which the optimization problem is a standard, easy-to-solve, quadratic programming problem with linear constraints. In the researched algorithms, the free response obtained using a nonlinear process model and the future trajectory of the control signals is used to construct an advanced dynamic matrix utilizing the easy-to-obtain fuzzy model. This leads to obtaining very good prediction and control quality very close to those offered by NMPC algorithms. The proposed approach is tested in the control system of a nonlinear chemical control plant—a CSTR reactor with the van de Vusse reaction. View Full-Text
Keywords: prediction; process control; model predictive control; fuzzy systems; fuzzy control; nonlinear control prediction; process control; model predictive control; fuzzy systems; fuzzy control; nonlinear control
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MDPI and ACS Style

Marusak, P.M. Advanced Construction of the Dynamic Matrix in Numerically Efficient Fuzzy MPC Algorithms. Algorithms 2021, 14, 25. https://0-doi-org.brum.beds.ac.uk/10.3390/a14010025

AMA Style

Marusak PM. Advanced Construction of the Dynamic Matrix in Numerically Efficient Fuzzy MPC Algorithms. Algorithms. 2021; 14(1):25. https://0-doi-org.brum.beds.ac.uk/10.3390/a14010025

Chicago/Turabian Style

Marusak, Piotr M. 2021. "Advanced Construction of the Dynamic Matrix in Numerically Efficient Fuzzy MPC Algorithms" Algorithms 14, no. 1: 25. https://0-doi-org.brum.beds.ac.uk/10.3390/a14010025

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