Helicopter control by nonlinear model predictive control with constraints

 
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Abstract

Context and relevance. The paper presents the controller synthesis problem for a helicopter moving under constraints. Helicopter dynamics is described by 6 DoF model that is complimented by the measurement equations. The problem is being solved supposing that the hard control constraints are imposed to specify technical characteristics of the controller. Objective. The goal is to find the control input to achieve a required target output over a finite time period. Hypothesis. Taking the non-linearity of the model and constraints into account affects the nature of transients and requires additional attention to setting system parameters. Methods and materials. To solve the problem, the method based on the Nonlinear Predictive Control Model with Successive Linearization (NMPC-SL) is proposed. Results. To analyze the effectiveness of the considered approach, series of computational calculations have been performed for the British multi-purpose helicopter Westland Lynx with two engines. Conclusions. The developed algorithm has demonstrated its effectiveness for solving the problem, provided that the individual system parameters are properly configured.

General Information

Keywords: nonlinear control systems, model predictive control, helicopter control, nonlinear helicopter dynamics, Nonlinear Model Predictive Control with Successive Linearization

Journal rubric: Optimization Methods

Article type: scientific article

DOI: https://doi.org/10.17759/mda.2025150205

Received 07.05.2025

Accepted

Published

For citation: Kudryavtseva, I.A., Petrov, K.S. (2025). Helicopter control by nonlinear model predictive control with constraints. Modelling and Data Analysis, 15(2), 89–109. (In Russ.). https://doi.org/10.17759/mda.2025150205

© Kudryavtseva I.A., Petrov K.S., 2025

License: CC BY-NC 4.0

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Information About the Authors

Irina A. Kudryavtseva, Candidate of Science (Physics and Matematics), Associate Professor, staff of Mathematical Cybernetics, Moscow Aviation Institute (national research university) (MAI), Moscow, Russian Federation, ORCID: https://orcid.org/0000-0003-4042-7087, e-mail: kudryavtseva.irina.a@gmail.com

Kirill S. Petrov, postgraduate, Moscow Aviation Institute (national research university) (MAI), Moscow, Russian Federation, e-mail: kpetroff12@yandex.ru

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