Open AccessChaos control with unknown parameter of attitude motion of perturbed spacecraft
Author(s) -
Jia Fei-Lei,
Xu Wei,
Hengnian Li,
Liqiang Hou
Publication year - 2013
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.100503
Subject(s) - spacecraft , control theory (sociology) , lyapunov function , euler's formula , computer science , equations of motion , chaos (operating system) , euler angles , controller (irrigation) , series (stratigraphy) , physics , control (management) , mathematics , classical mechanics , mathematical analysis , nonlinear system , artificial intelligence , computer security , paleontology , astronomy , quantum mechanics , agronomy , biology
The Euler's dynamical equation which describes the attitude motion of a perturbed rigid spacecraft is studied. A series of chaos systems is found from Euler's dynamical equation by selecting different parameter matrixes of perturbed torque. Based on the Lyapunov function, adaptive controller is designed such that the chaos control of unknown parameters of this system is accomplished, the state variables go to any appointed equilibrium points, and the unknown parameters are estimated simultaneously. Finally, the Newton-Leipnik system as an example is considered here to demonstrate the proposing technique. Simulation results show the feasibility and efficiency of this method.