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

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 contr...

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Main Authors: Weijun Hu, Jiale Quan, Xianlong Ma, Mostafa M. Salah, Ahmed Shaker
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/8/1845
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author Weijun Hu
Jiale Quan
Xianlong Ma
Mostafa M. Salah
Ahmed Shaker
author_facet Weijun Hu
Jiale Quan
Xianlong Ma
Mostafa M. Salah
Ahmed Shaker
author_sort Weijun Hu
collection DOAJ
description 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.
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spelling doaj.art-317f374f35d843129df54ba634d515ca2023-11-17T20:17:23ZengMDPI AGMathematics2227-73902023-04-01118184510.3390/math11081845Analytical Design of Optimal Model Predictive Control and Its Application in Small-Scale HelicoptersWeijun Hu0Jiale Quan1Xianlong Ma2Mostafa M. Salah3Ahmed Shaker4School of Astronautics, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Astronautics, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Astronautics, Northwestern Polytechnical University, Xi’an 710072, ChinaElectrical Engineering Department, Future University in Egypt, Cairo 11835, EgyptEngineering Physics and Mathematics Department, Faculty of Engineering, Ain Shams University, Cairo 11535, EgyptA 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.https://www.mdpi.com/2227-7390/11/8/1845small-scale helicoptermodel predictive controltrajectory trackinguncertainty
spellingShingle Weijun Hu
Jiale Quan
Xianlong Ma
Mostafa M. Salah
Ahmed Shaker
Analytical Design of Optimal Model Predictive Control and Its Application in Small-Scale Helicopters
Mathematics
small-scale helicopter
model predictive control
trajectory tracking
uncertainty
title Analytical Design of Optimal Model Predictive Control and Its Application in Small-Scale Helicopters
title_full Analytical Design of Optimal Model Predictive Control and Its Application in Small-Scale Helicopters
title_fullStr Analytical Design of Optimal Model Predictive Control and Its Application in Small-Scale Helicopters
title_full_unstemmed Analytical Design of Optimal Model Predictive Control and Its Application in Small-Scale Helicopters
title_short Analytical Design of Optimal Model Predictive Control and Its Application in Small-Scale Helicopters
title_sort analytical design of optimal model predictive control and its application in small scale helicopters
topic small-scale helicopter
model predictive control
trajectory tracking
uncertainty
url https://www.mdpi.com/2227-7390/11/8/1845
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AT xianlongma analyticaldesignofoptimalmodelpredictivecontrolanditsapplicationinsmallscalehelicopters
AT mostafamsalah analyticaldesignofoptimalmodelpredictivecontrolanditsapplicationinsmallscalehelicopters
AT ahmedshaker analyticaldesignofoptimalmodelpredictivecontrolanditsapplicationinsmallscalehelicopters