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Offset-free neural network-based nonlinear model predictive controller design using parameter adaptation

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Abstract

The performance of conventional nonlinear model predictive control \(\left( {{\text{NMPC}}} \right)\) system relies heavily on the accuracy of the prediction model. In cases of significant plant-model mismatch, non-desirable responses may be observed in the controlled outputs. This paper proposes a parameter adaptation technique for tackling this problem. In the proposed approach, the output disturbance is selected as the adaptation parameter while the adaptation law is modelled as a function of the tracking error using a first-order difference equation. The adaptation law is integrated into a \(\mathrm{NMPC}\) algorithm to achieve offset-free tracking. The effectiveness of the proposed scheme is demonstrated on two simulation case studies—a pH system and a continuously stirred tank reactor (CSTR); and an experimental cascaded two tank process. The simulation results obtained showed that the proposed scheme achieves zero offset in the face of significant plant-model mismatch arising from uncertainties in model parameters, unmeasured disturbances, and measurement noise and compared favourably with existing methods. The experimental results obtained during real-time implementation of the proposed control scheme corroborate this assertion and show its industrial applicability.

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Acknowledgements

The authors gratefully acknowledge Hezekiah Babajide Bamidele and Atinuke Temidayo Alabi for helping in collecting some useful data. The authors are also very grateful to the many constructive comments from the anonymous Associate Editor and reviewers.

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  1. Process Systems Engineering Laboratory, Department of Chemical Engineering, Obafemi Awolowo University, Osun State, Ile-Ife, 220005, Nigeria

    A. Bamimore, N. B. Sobowale, A. S. Osunleke & O. Taiwo

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  1. A. Bamimore
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  2. N. B. Sobowale
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  3. A. S. Osunleke
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  4. O. Taiwo
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Bamimore, A., Sobowale, N.B., Osunleke, A.S. et al. Offset-free neural network-based nonlinear model predictive controller design using parameter adaptation. Neural Comput & Applic 33, 10235–10257 (2021). https://doi.org/10.1007/s00521-021-05788-z

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