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Analytical Design of Optimal Model Predictive Control and Its Application in Small-Scale Helicopters

Author

Listed:
  • Weijun Hu

    (School of Astronautics, Northwestern Polytechnical University, Xi’an 710072, China)

  • Jiale Quan

    (School of Astronautics, Northwestern Polytechnical University, Xi’an 710072, China)

  • Xianlong Ma

    (School of Astronautics, Northwestern Polytechnical University, Xi’an 710072, China)

  • Mostafa M. Salah

    (Electrical Engineering Department, Future University in Egypt, Cairo 11835, Egypt)

  • Ahmed Shaker

    (Engineering Physics and Mathematics Department, Faculty of Engineering, Ain Shams University, Cairo 11535, Egypt)

Abstract

A new method for controlling the position and speed of a small-scale helicopter based on optimal model predictive control is presented in this paper. In the proposed method, the homotopy perturbation technique is used to analytically solve the optimization problem and, as a result, to find the control signal. To assess the proposed method, a small-scale helicopter system is modeled and controlled using the proposed method. The proposed method has been investigated under different conditions and its results have been compared with the conventional predictive control method. The simulation results show that the proposed technique is highly proficient in the face of various uncertainties and disturbances, and can quickly return the helicopter to its path.

Suggested Citation

  • Weijun Hu & Jiale Quan & Xianlong Ma & Mostafa M. Salah & Ahmed Shaker, 2023. "Analytical Design of Optimal Model Predictive Control and Its Application in Small-Scale Helicopters," Mathematics, MDPI, vol. 11(8), pages 1-15, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1845-:d:1122518
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    References listed on IDEAS

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