DONG Xue-yang, GE Xin-sheng. The Adaptive Gauss Pseudospectral Method for the Optimal Control of Spacecraft Solar Array Deployment[J]. Applied Mathematics and Mechanics, 2016, 37(6): 655-664. doi: 10.3879/j.issn.1000-0887.2016.06.011
 Citation: DONG Xue-yang, GE Xin-sheng. The Adaptive Gauss Pseudospectral Method for the Optimal Control of Spacecraft Solar Array Deployment[J]. Applied Mathematics and Mechanics, 2016, 37(6): 655-664.

# The Adaptive Gauss Pseudospectral Method for the Optimal Control of Spacecraft Solar Array Deployment

##### doi: 10.3879/j.issn.1000-0887.2016.06.011
Funds:  The National Natural Science Foundation of China(11472058)
• Rev Recd Date: 2016-01-28
• Publish Date: 2016-06-15
• The adaptive Gauss pseudospectral method (GMP) for the optimal control of spacecraft solar array deployment was formulated. In a practical solar array deploying process, under the constraint conditions of limited control, limited states and limited initial and final attitudes, etc., the spacecraft attitude control problem was treated as an optimal control problem where the above constraints and boundary conditions shall be met and the optimal performance index function be realized at the same time. With the adaptive GMP, the solution to the solar array deployment control problem was obtained with satisfactory accuracy and highly promoted efficiency, through the judgement on the needs of time interval subdivision and time node number increase. Finally, the solar array deploying process was numerically simulated and the optimal attitude motion trajectory as well as the control rule was acquired. The results demonstrate the effectiveness of this method in the attitude control problems.
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