The control of chaotic attitude motion of a perturbed spacecraft

Several new chaotic attractors were found from the nonlinear dynamical system of attitude motion of a perturbed spacecraft. Investigation demonstrated that many well-known chaotic nonlinear systems like Lorenz system are the especial illustration of this system and periodically varying torque and long-term disturbing torque could force the non-chaotic nonlinear system into chaotic motion. Two conclusions about the figure, structure and the size of this class of chaotic attractor were educed. A more practicable and efficient nonlinear relay control techniques were utilized to suppress the chaos and control system to the given fixed point.

[1]  Nenad Koncar,et al.  Adaptive real-time neural network attitude control of chaotic satellite motion , 1995, SPIE Defense + Commercial Sensing.

[2]  B. Tabarrok,et al.  Chaotic motion of an asymmetric gyrostat in the gravitational field , 1995 .

[3]  Li-Qun Chen,et al.  Chaotic attitude motion and its control of spacecraft in elliptic orbit and geomagnetic field , 2004 .

[4]  V. V. Beletsky,et al.  Chaos in spacecraft attitude motion in Earth's magnetic field. , 1999, Chaos.

[5]  E. L. Starostin,et al.  Regular and chaotic motions in applied dynamics of a rigid body. , 1996, Chaos.

[6]  Antonia J. Jones,et al.  Adaptive neuro-genetic control of chaos applied to the attitude control problem , 1997, Neural Computing & Applications.

[7]  Xiaohua Tong,et al.  Numerical studies on chaotic planar motion of satellites in an elliptic orbit , 1991 .

[8]  Antonia J. Jones,et al.  The control of higher dimensional chaos: comparative results for the chaotic satellite attitude control problem , 2000 .

[9]  Kestutis Pyragas Continuous control of chaos by self-controlling feedback , 1992 .

[10]  Paul A. Meehan,et al.  Control of chaotic instabilities in a spinning spacecraft with dissipation using Lyapunov's method , 2002 .

[11]  Paul A. Meehan,et al.  Suppressing chaos via Lyapunov-Krasovskii's method , 2006 .

[12]  R. Leipnik,et al.  Double strange attractors in rigid body motion with linear feedback control , 1981 .

[13]  Awad El-Gohary Optimal control of a programmed motion of a rigid spacecraft using redundant kinematics parameterizations , 2005 .

[14]  Ding,et al.  Controlling chaos in high dimensions: Theory and experiment. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.