The effect of wind disturbances on the stability of six-rotor unmanned aerial vehicles (UAVs) was investigated, exploring the various disturbances in different directions. The simulation model-based Euler–Poincare equation was established to investigate the spectra of Lyapunov exponents. Next, the value of the Lyapunov exponents was used to evaluate the stability of the systems. The results obtained show that the various speeds of rotors are optimized to keep up the stability after disturbances. In addition, the flight experiment with the hitting gust has been carried out to verify the validity and accuracy of the simulation results.
References
1.
Bai
, Y. Q.
, Liu
, H.
, Shi
, Z. Y.
, and Zhong, Y. S., 2012
, “Robust Flight Control of Six-Rotor Unmanned Air Vehicles
,” Robot
, 34
(5
), pp. 519
–524
.2.
Deittert
, M.
, Richards
, A.
, Toomer
, C. A.
, and Pipe
, A.
, 2009
, “Engineless UAV Propulsion by Dynamic Soaring
,” J. Guid. Control Dyn.
, 32
(5
), pp. 1446
–1457
.3.
Ramsdell
, J. V.
, 1978
, “Wind Shear Fluctuations Downwind of Large Surface Roughness Elements
,” J. Appl. Meteorol.
, 17
(4
), pp. 436
–443
.4.
Neumann
, P. P.
, and Bartholmai
, M.
, 2015
, “Real-Time Wind Estimation on a Micro Unmanned Aerial Vehicle Using Its Inertial Measurement Unit
,” Sens. Actuators, A
, 235
, pp. 300
–310
.5.
Ding
, L.
, Wu
, H. T.
, and Yao
, Y.
, 2015
, “Chaotic Artificial Bee Colony Algorithm for System Identification of a Small-Scale Unmanned Helicopter
,” Int. J. Aerosp. Eng.
, 2015
, pp. 1
–11
.6.
Liu
, C. J.
, McAree
, O.
, and Chen
, W. H.
, 2013
, “Path-Following Control for Small Fixed-Wing Unmanned Aerial Vehicles Under Wind Disturbances
,” Int. J. Robust Nonlinear Control
, 23
(15
), pp. 1682
–1698
.7.
Cabecinhas
, D.
, Cunha
, R.
, and Silvestre
, C.
, 2015
, “A Globally Stabilizing Path Following Controller for Rotorcraft With Wind Disturbance Rejection
,” IEEE Trans. Control Syst. Technol.
, 23
(2
), pp. 708
–714
.8.
Bambang
, S.
, Naoki
, U.
, and Shigenori
, S.
, 2016
, “Least Square Based Sliding Mode Control for a Quad-Rotor Helicopter and Energy Saving by Chattering Reduction
,” Mech. Syst. Signal Process.
, 66–67
, pp. 769
–784
.9.
Lei
, X. S.
, Bai
, L.
, Du
, Y. H.
, Miao
, C. X.
, Chen
, Y.
, and Wang
, T. M.
, 2011
, “A Small Unmanned Polar Research Aerial Vehicle Based on the Composite Control Method
,” Mechatronics
, 21
(5
), pp. 821
–830
.10.
Kladis
, G. P.
, Economou
, J. T.
, Knowles
, K.
, Lauber
, J.
, and Guerra
, T. M.
, 2011
, “Energy Conservation Based Fuzzy Tracking for Unmanned Aerial Vehicle Missions Under a Priori Known Wind Information
,” Eng. Appl. Artif. Intell.
, 24
(2
), pp. 278
–294
.11.
Sun
, Y.
, and Wu
, Q.
, 2012
, “Stability Analysis Via the Concept of Lyapunov Exponents: A Case Study in Optimal Controlled Biped Standing
,” Int. J. Control
, 85
(12
), pp. 1952
–1966
.12.
Pflimlin
, J. M.
, Soueres
, P.
, and Hamel
, T.
, 2007
, “Position Control of a Ducted Fan VTOL UAV in Crosswind
,” Int. J. Control
, 80
(5
), pp. 666
–683
.13.
Islam
, S.
, Liu
, P. X.
, and Saddik
, A.
, 2014
, “Nonlinear Adaptive Control for Quadrotor Flying Vehicle
,” Nonlinear Dyn.
, 78
(1
), pp. 117
–133
.14.
Liu
, Y. P.
, Chen
, C.
, Wu
, H. T.
, Zhang
, Y. H.
, and Mei
, P.
, 2016
, “Structural Stability Analysis and Optimization of the Quadrotor Unmanned Aerial Vehicles Via the Concept of Lyapunov Exponents
,” Int. J. Adv. Manuf. Technol.
, 86
(4), pp. 1
–11
.15.
Liu
, Y. P.
, Li
, X. Y.
, Wang
, T. M.
, Zhang
, Y. H.
, and Mei
, P.
, 2017
, “Quantitative Stability of Quadrotor Unmanned Aerial Vehicles
,” Nonlinear Dyn.
, 87
(3
), pp. 1819
–1833
.16.
Dingwell
, J. B.
, and Marin
, L. C.
, 2006
, “Kinematic Variability and Local Dynamic Stability of Upper Body Motions When Walking at Different Speeds
,” J. Biomech.
, 39
(3
), pp. 444
–452
.17.
Yang
, C. X.
, and Wu
, Q.
, 2006
, “On Stabilization of Bipedal Robots During Disturbed Standing Using the Concept of Lyapunov Exponents
,” Robotica
, 24
(5
), pp. 621
–624
.18.
Yang
, C. X.
, and Wu
, Q.
, 2010
, “On Stability Analysis Via Lyapunov Exponents Calculated From a Time Series Using Nonlinear Mapping—A Case Study
,” Nonlinear Dyn.
, 59
, pp. 239
–257
.19.
Yang
, C. X.
, and Wu
, Q.
, 2011
, “A Robust Method on Estimation of Lyapunov Exponents From a Noisy Time Series
,” Nonlinear Dyn.
, 64
(3
), pp. 279
–292
.20.
Ershkov
, S. V.
, 2014
, “New Exact Solution of Euler's Equations (Rigid Body Dynamics) in the Case of Rotation Over the Fixed Point
,” Arch. Appl. Mech.
, 84
(3
), pp. 385
–389
.21.
Kuznetsov
, N. V.
, Alexeeva
, T. A.
, and Leonov
, G. A.
, 2016
, “Invariance of Lyapunov Exponents and Lyapunov Dimension for Regular and Irregular Linearizations
,” Nonlinear Dyn.
, 85
(1
), pp. 195
–201
.22.
Levin
, G.
, Przytycki
, F.
, and Shen
, W. X.
, 2016
, “The Lyapunov Exponent of Holomorphic Maps
,” Invent. Math.
, 205
(2
), pp. 363
–382
.23.
Czolczynskia
, K.
, Okolewskib
, A.
, and Okolewska
, B. B.
, 2017
, “Lyapunov Exponents in Discrete Modelling of a Cantilever Beam Impacting on a Moving Base
,” Int. J. Nonlinear Mech.
, 88
, pp. 74
–84
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