Robust bounded control scheme for quadrotor vehicles under high dynamic disturbances

Author:

Betancourt J.1,Castillo P.1,Garcı́a P.2,Balaguer V.2,Lozano R.1

Affiliation:

1. University of Technology of Compiègne

2. Universitat Politècnica de València

Abstract

Abstract In this paper, an optimal bounded robust control algorithm for secure autonomous navigation in quadcopter vehicles is proposed. The controller is developed combining two parts; one dedicated to stabilize the closed-loop system and the second one for dealing and estimating external disturbances as well unknown nonlinearities {inherent to the real system's operations}. For bounding the energy used by the system during a mission and, without losing its robustness properties, the quadratic problem formulation is used considering the actuators system constraints. The resulting optimal bounded control scheme improves considerably the stability and robustness of the closed-loop system and at the same time bounds the motor control inputs. The controller is validated in real-time flights and in unconventional conditions for high wind-gusts and LoE - Loss of Effectiveness- in two rotors. The experimental results demonstrate the good performance of the proposed controller in both scenarios.

Publisher

Research Square Platform LLC

Reference35 articles.

1. Salazar, Sergio and Gonzalez-Hernandez, Ivan and Lopez, Ricardo and Lozano, Rogelio (2014) {Simulation and robust trajectory-tracking for a Quadrotor UAV}. 2014 International Conference on Unmanned Aircraft Systems : 1167--1174 https://doi.org/10.1109/ICUAS.2014.6842371, 9781479923762, :home/unknown/Documents/Estado{\_}del{\_}arte/06842371{\_}sergio.pdf:pdf, In this article, a robust control algorithm using sliding modes is proposed for the efficient regulation on the trajectory tracking tasks, in the nonlinear, multivariable, quadrotor system model, that ensures the asymptotic convergence to a desired trajectory (reference signal - r(t)) in presence of all possible uncertainties and external disturbances. A smooth piecewise continuous function trajectory is proposed where the corresponding derivatives are bounded. Furthermore, we assume that the disturbances on the vehicle are bounded and the signal r(t) are available on line. The proposed algorithm employs a sliding surface based on the errors generated from the current state of the path in order to reach the desired reference r(t). The stability analysis of the closed-loop control system is proven via the use of Lyapunov theory. Finally, a numerical simulation of tracking a smooth trajectory is performed to demonstrate the validity and effectiveness of the proposed robust algorithm in presence of disturbances onto the vehicle.

2. A. Castillo and P. Garc ía and R. Sanz and P. Albertos (2018) Enhanced extended state observer-based control for systems with mismatched uncertainties and disturbances. ISA Transactions 73: 1 - 10 https://doi.org/https://doi.org/10.1016/j.isatra.2017.12.005, 0019-0578

3. Lu, Qi and Ren, Beibei and Parameswaran, Siva and Zhong, Qing-Chang (2017) {Uncertainty and Disturbance Estimator-Based Robust Trajectory Tracking Control for a Quadrotor in a Global Positioning System-Denied Environment}. Journal of Dynamic Systems, Measurement, and Control 140(3): 031001 attitude control,gps-denied navigation,position control,quadrotor,robust control,ude,uncertainty and disturbance estimator, 0022-0434

4. H. N. {Koivo} (2008) Practical PID Control (by Visioli, A.; 2006) [Book review]. IEEE Transactions on Automatic Control 53(9): 2217-2218 Oct, 2334-3303

5. L. Luque-Vega and B. Castillo-Toledo and Alexander G. Loukianov (2012) Robust block second order sliding mode control for a quadrotor. Journal of the Franklin Institute 349(2): 719 - 739 0016-0032

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