Regular Papers

International Journal of Control, Automation and Systems 2022; 20(6): 1951-1960

Published online April 29, 2022

https://doi.org/10.1007/s12555-020-0573-8

© The International Journal of Control, Automation, and Systems

Computationally Efficient Nonlinear MPC for Discrete System with Disturbances

Keerthi Chacko*, Janardhanan Sivaramakrishnan, and Indra Narayan Kar

Indian Institute of Technology Delhi

Abstract

Nonlinear Model Predictive Controller (NMPC) is intensive in online computation. We propose an efficient formulation for reducing its computational requirements. The proposed algorithm avoids stability-related terminal costs, constraints, and varies the prediction horizon after a simple check. Further, we use a condition based on negative contraction to handle undesirable effects of disturbance on the algorithm. The stability analysis for the proposed algorithm in a Monotonically weighted NMPC framework without stability related constraints is derived. Simulation and experimental validation on benchmark systems illustrate a significant reduction in the average computation time compared to the Monotonically Weighted NMPC without much loss in performance.

Keywords Computation reduction, nonlinear process, optimization, predictive control, varying horizon.

Article

Regular Papers

International Journal of Control, Automation and Systems 2022; 20(6): 1951-1960

Published online June 1, 2022 https://doi.org/10.1007/s12555-020-0573-8

Copyright © The International Journal of Control, Automation, and Systems.

Computationally Efficient Nonlinear MPC for Discrete System with Disturbances

Keerthi Chacko*, Janardhanan Sivaramakrishnan, and Indra Narayan Kar

Indian Institute of Technology Delhi

Abstract

Nonlinear Model Predictive Controller (NMPC) is intensive in online computation. We propose an efficient formulation for reducing its computational requirements. The proposed algorithm avoids stability-related terminal costs, constraints, and varies the prediction horizon after a simple check. Further, we use a condition based on negative contraction to handle undesirable effects of disturbance on the algorithm. The stability analysis for the proposed algorithm in a Monotonically weighted NMPC framework without stability related constraints is derived. Simulation and experimental validation on benchmark systems illustrate a significant reduction in the average computation time compared to the Monotonically Weighted NMPC without much loss in performance.

Keywords: Computation reduction, nonlinear process, optimization, predictive control, varying horizon.

IJCAS
December 2024

Vol. 22, No. 12, pp. 3545~3811

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