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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MDPI AG
2023-04-01
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Series: | Mathematics |
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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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format | Article |
id | doaj.art-317f374f35d843129df54ba634d515ca |
institution | Directory Open Access Journal |
issn | 2227-7390 |
language | English |
last_indexed | 2024-03-11T04:46:37Z |
publishDate | 2023-04-01 |
publisher | MDPI AG |
record_format | Article |
series | Mathematics |
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 |
work_keys_str_mv | AT weijunhu analyticaldesignofoptimalmodelpredictivecontrolanditsapplicationinsmallscalehelicopters AT jialequan analyticaldesignofoptimalmodelpredictivecontrolanditsapplicationinsmallscalehelicopters AT xianlongma analyticaldesignofoptimalmodelpredictivecontrolanditsapplicationinsmallscalehelicopters AT mostafamsalah analyticaldesignofoptimalmodelpredictivecontrolanditsapplicationinsmallscalehelicopters AT ahmedshaker analyticaldesignofoptimalmodelpredictivecontrolanditsapplicationinsmallscalehelicopters |