Optimal Attitude Control of Underactuated Spacecrafts With the Gauss Pseudospectral Method

YI Zhong-gui; GE Xin-sheng

doi:10.21656/1000-0887.380013

Volume 38 Issue 12

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YI Zhong-gui, GE Xin-sheng. Optimal Attitude Control of Underactuated Spacecrafts With the Gauss Pseudospectral Method[J]. Applied Mathematics and Mechanics, 2017, 38(12): 1319-1330. doi: 10.21656/1000-0887.380013

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Optimal Attitude Control of Underactuated Spacecrafts With the Gauss Pseudospectral Method

doi: 10.21656/1000-0887.380013

YI Zhong-gui¹,
GE Xin-sheng²

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

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

Received Date: 2017-01-10
Rev Recd Date: 2017-02-20
Publish Date: 2017-12-15

Abstract

Abstract

The attitude and orientation of modern spacecrafts generally can be controlled by 3 orthogonal reaction momentum wheels. The attitude control of underactuated spacecrafts with only 2 momentum wheels and failed out of complete 3-axis controlling torques, was investigated. The control problem was converted to a nonholonomic motion planning problem of a drift-free system with zero angular momentum. The attitude motion planning problem of a spacecraft with 2 momentum wheels was converted to a nonlinear programming problem (NLP) with the Gauss pseudospectral method, and then solved with the SQP algorithm. Through numerical simulation the optimal control met the design requirements of zero boundaries, so the wheels can be controlled easily by servomotors; the planned attitude curves were almost identical to the numerically integrated solutions; the number of suitable collocation points was found through balancing among 3 factors: the target function value, the running time and the solution error. The results show that the proposed method is effective for the optimal attitude control of underactuated spacecrafts.
- underactuated spacecraft,
- Gauss pseudospectral method,
- optimal attitude control,
- nonholonomic motion planning,
- nonlinear programming

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References(20)

References

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