[en] This paper presents an integrated approach that combines trajectory optimization and Artificial Potential Field (APF) method for real-time optimal Unmanned Aerial Vehicle (UAV) trajectory planning and dynamic collision avoidance. A minimum-time trajectory optimization problem is formulated with initial and final positions as boundary conditions and collision avoidance as constraints. It is transcribed into a nonlinear programming problem using Chebyshev pseudospectral method. The state and control histories are approximated by using Lagrange polynomials and the collocation points are used to satisfy constraints. A novel sigmoid-type collision avoidance constraint is proposed to overcome the drawbacks of Lagrange polynomial approximation in pseudospectral methods that only guarantees inequality constraint satisfaction only at nodal points. Automatic differentiation of cost function and constraints is used to quickly determine their gradient and Jacobian, respectively. An APF method is used to update the optimal control inputs for guaranteeing collision avoidance. The trajectory optimization and APF method are implemented in a closed-loop fashion continuously, but in parallel at moderate and high frequencies, respectively. The initial guess for the optimization is provided based on the previous solution. The proposed approach is tested and validated through indoor experiments.Experiment video link: https://youtu.be/swSspfvYjJs
H2020 - 101017258 - SESAME - Secure and Safe Multi-Robot Systems
Projet FnR :
FNR13713801 - Interconnecting The Sky In 5g And Beyond - A Joint Communication And Control Approach, 2019 (01/06/2020-31/05/2023) - Bjorn Ottersten
Organisme subsidiant :
Union Européenne
Subventionnement (détails) :
D. M. K. K. Venkateswara Rao, H. Habibi, J. L. Sanchez-Lopez, and H. Voos are with Automation and Robotics Research Group, Interdisciplinary Centre for Security, Reliability and Trust, University of Luxembourg, Luxembourg. H. Voos is also with Faculty of Science, Technology and Medicine (FSTM), Department of Engineering, University of Luxembourg, {mohan.dasari,hamed.habibi,holger.voos, joseluis.sanchezlopez}@uni.lu *This research was partially supported by the European Union’s Horizon 2020 project Secure and Safe Multi-Robot Systems (SESAME) under the grant agreement no. 101017258 and by the Department of Media, Telecommunications and Digital Policy (SMC) of the Government of the Gran Duchy of Luxembourg under the project reference SMC/CFP-2019/010/IRANATA, ”Interference and RAdiation in Network PlAnning of 5G AcTive Antenna Systems,” and Fonds National de la Recherche of Luxembourg (FNR), under the projects C19/IS/13713801/5G-Sky.This research was partially supported by the European Union s Horizon 2020 project Secure and Safe Multi-Robot Systems (SESAME) under the grant agreement no. 101017258 and by the Department of Media, Telecommunications and Digital Policy (SMC) of the Government of the Gran Duchy of Luxembourg under the project reference SMC/CFP-2019/010/IRANATA, Interference and RAdiation in Network PlAnning of 5G AcTive Antenna Systems, and Fonds National de la Recherche of Luxembourg (FNR), under the projects C19/IS/13713801/5G-Sky.
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