### Abstract

approach outperforms Gauss pseudospectral method for discontinuous OCPs arising from the flexible spacecraft.

Language | English |
---|---|

Pages | 163-171 |

Number of pages | 10 |

Journal | Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering |

Volume | 299 |

Issue number | 1 |

Early online date | 31 Mar 2014 |

DOIs | |

Publication status | Published - Jan 2015 |

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### Keywords

- spline wavelet
- flexible spacecraft
- optimal control problem
- direct method
- wavelet collocation method

### Cite this

*Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering*,

*299*(1), 163-171. https://doi.org/10.1177/0954410014528885

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*Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering*, vol. 299, no. 1, pp. 163-171. https://doi.org/10.1177/0954410014528885

**A spline wavelet collection method for the optimal control of flexible spacecraft.** / Zhang, Qingbin; Feng, Zhiwei; Tang, Qiangang; Macdonald, Malcolm.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A spline wavelet collection method for the optimal control of flexible spacecraft

AU - Zhang, Qingbin

AU - Feng, Zhiwei

AU - Tang, Qiangang

AU - Macdonald, Malcolm

PY - 2015/1

Y1 - 2015/1

N2 - A spline wavelet collocation method is presented to solve optimal control problem (OCP) of flexible spacecraft, which is often required to reorient and reposition with minimum manoeuvre time or fuel consumption. It is very difficult and computationally expensive to determine the open-loop optimal control inputs for flexible spacecraft, because the optimal control profile is often characterised by discontinuities or switching in the control variables. In our approach, the state and control variables are expanded via cubic spline wavelet decomposition, and then an OCP would be converted into a nonlinear programming problem where the wavelet coefficients are treated as the optimisation variables. As opposed to the usual pseudospectral method based on polynomial approximation, the wavelet advantageous properties of compact representation would inherently make it efficiently and accurately to solve nonlinear programming problem using standard solver. The novel approach is demonstrated by two typical optimal problems. The results show that ourapproach outperforms Gauss pseudospectral method for discontinuous OCPs arising from the flexible spacecraft.

AB - A spline wavelet collocation method is presented to solve optimal control problem (OCP) of flexible spacecraft, which is often required to reorient and reposition with minimum manoeuvre time or fuel consumption. It is very difficult and computationally expensive to determine the open-loop optimal control inputs for flexible spacecraft, because the optimal control profile is often characterised by discontinuities or switching in the control variables. In our approach, the state and control variables are expanded via cubic spline wavelet decomposition, and then an OCP would be converted into a nonlinear programming problem where the wavelet coefficients are treated as the optimisation variables. As opposed to the usual pseudospectral method based on polynomial approximation, the wavelet advantageous properties of compact representation would inherently make it efficiently and accurately to solve nonlinear programming problem using standard solver. The novel approach is demonstrated by two typical optimal problems. The results show that ourapproach outperforms Gauss pseudospectral method for discontinuous OCPs arising from the flexible spacecraft.

KW - spline wavelet

KW - flexible spacecraft

KW - optimal control problem

KW - direct method

KW - wavelet collocation method

UR - http://pig.sagepub.com/content/early/2014/03/28/0954410014528885.full.pdf+html

U2 - 10.1177/0954410014528885

DO - 10.1177/0954410014528885

M3 - Article

VL - 299

SP - 163

EP - 171

JO - Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering

T2 - Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering

JF - Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering

SN - 0954-4100

IS - 1

ER -