Abstract

The optimization issues connected to a landing task of an unmanned aerial vehicle are discussed in the paper, based on a model of a mini-class drone. Three landing scenarios are considered, including minimum-time landing, landing with minimum energy consumption, and planned landing. With the use of classical dynamic programming techniques, including the minimum principle of Pontryagin, as well as the calculus of variations, the optimal altitude reference trajectories are found, to form the altitude control system in such a way as to mimic the profile of the reference trajectory by the actual altitude of the UAV. The simulation results conducted with the use of the Simulink Support Package for Parrot Minidrones verify the correctness and effectiveness of the method, and open the research directions for further analysis, especially to tune altitude controller in a way, as to track the reference profile. Up to this point, optimization tasks considered in the literature, with respect to the drones, were connected to swarm formation optimization, optimization of the take-off process or landing process limited to optimal path planning. This paper thus considers a new topic in the field.

Highlights

  • Recent years have brought an increased popularity of unmanned aerial vehicles (UAVs), which, due to their increasing popularity in the market, have wider and wider applicability areas, ranging from pure recreation to scientific research

  • This paper aims at finding optimal landing trajectories for different landing scenarios, as well as focusing on giving directions for modifications of the altitude control system, to tune their controllers in such a way as to achieve optimal performance, which will be a research stage

  • We demonstrated the applicability of the idea of optimization of the landing process of the UAV to the model-in-the-loop simulation of the Rolling Spider drone

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Summary

Introduction

Recent years have brought an increased popularity of unmanned aerial vehicles (UAVs), which, due to their increasing popularity in the market, have wider and wider applicability areas, ranging from pure recreation to scientific research The latter implies the need to improve control algorithms which govern behaviour of UAVs to increase their safety and reliability. This paper aims at finding optimal landing trajectories for different landing scenarios, as well as focusing on giving directions for modifications of the altitude control system, to tune their controllers in such a way as to achieve optimal performance, which will be a research stage.

Simplified Mathematical Model of a Quadrotor
Model Reduction
Landing Issues
Minimum-Time Landing
Velocity-Penalized Landing
Comparison of the Obtained Trajectories
Simulink Support Package for Parrot Minidrones
10. Summary
Full Text
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