Nonlinear Predictive Control Using Wiener Models

Computationally Efficient Approaches for Polynomial and Neural Structures

By: Maciej Lawrynczuk

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Hardcover | 22 September 2021

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Hardcover
368 Pages

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23.5 x 15.5 x 2.06

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This book presents computationally efficient MPC solutions. The classical model predictive control (MPC) approach to control dynamical systems described by the Wiener model uses an inverse static block to cancel the influence of process nonlinearity. Unfortunately, the model's structure is limited, and it gives poor control quality in the case of an imperfect model and disturbances. An alternative is to use the computationally demanding MPC scheme with on-line nonlinear optimisation repeated at each sampling instant.
A linear approximation of the Wiener model or the predicted trajectory is found on-line. As a result, quadratic optimisation tasks are obtained. Furthermore, parameterisation using Laguerre functions is possible to reduce the number of decision variables. Simulation results for ten benchmark processes show that the discussed MPC algorithms lead to excellent control quality. For a neutralisation reactor and a fuel cell, essential advantages ofneural Wiener models are demonstrated.

Industry Reviews

"The present book provides computationally efficient MPC (model predictive control) solutions as an alternative for the classical one, which has a limited structure, giving poor control quality in the case of an imperfect model and disturbances. The book is of real interest for all researchers working in control theory, optimization, engineering and economics." (Savin Treanta, zbMATH 1510.93001, 2023)

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