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

DONG Xue-yang; GE Xin-sheng

doi:10.3879/j.issn.1000-0887.2016.06.011

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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

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

doi: 10.3879/j.issn.1000-0887.2016.06.011

DONG Xue-yang¹,
GE Xin-sheng²

¹School of Mechanical and Electrical Engineering, Beijing Information Science and Technology University, Beijing 100192, P.R.China;²School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, P.R.China

Funds: The National Natural Science Foundation of China(11472058)

Received Date: 2015-10-26
Rev Recd Date: 2016-01-28
Publish Date: 2016-06-15

Abstract

Abstract

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.
- solar array deployment,
- nonholonomic,
- adaptive,
- pseudospectral method,
- optimal control

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References(17)

References

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