Journal
CHAOS SOLITONS & FRACTALS
Volume 138, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2020.109815
Keywords
QUAV attitude system; Multistability; Hidden chaotic attractor; Transient chaos; Critical surface
Categories
Funding
- National Natural Science Foundation of China [61873186]
- Tianjin Natural Science Foundation [17JCZDJC38300]
- College Outstanding Youth Talent Support Program Project [GXYQ2017014]
- Anhui University Humanities and Social Sciences Research Project [SK2019A0116]
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Currently, research of quadrotor unmanned aerial vehicles (QUAV) focuses on the design of the controller and optimization of the control algorithm. Dynamical analysis of the attitude system of QUAV has also been studied. In this paper, the stability of equilibrium points is further analyzed based on their distribution and bifurcation. Multi-initial phase-portraits demonstrate the multistability and the dynamical process from sinks to chaos of the system. The axis of its yaw angular velocity is proven to be a stable manifold, but a little perturbation to it leads to chaotic motion of the QUAV subject to an appropriate parameter configuration. Multi-initial phase-portraits, multi-initial bifurcation diagrams and basins of attraction altogether confirm that the discovered chaotic attractors are hidden and transient. The transient characteristic of these hidden attractors is investigated, revealing that they are natural sinks, which is confirmed by very long-time simulations. (c) 2020 Elsevier Ltd. All rights reserved.
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