Multi-objective Optimization of Zero Propellant Spacecraft Attitude Maneuvers

S Zhang, GJ Tang (National University of Defense Technology, China), MI Friswell (Swansea University) & DJ Wagg (University of Bristol)

Journal of Optimization Theory and Applications, Vol. 163, No. 3, December 2014, pp. 926-948

Abstract

The zero propellant maneuver (ZPM) is an advanced space station, large angle attitude maneuver technique, using only control momentum gyroscopes. Path planning is the key to success, and this paper studies the associated multi-objective optimization problem. Three types of maneuver optimal control problem are formulated: (i) momentum-optimal, (ii) time-optimal, and (iii) energy-optimal. A sensitivity analysis approach is used to study the Pareto optimal front and allows the tradeoffs between the performance indices to be investigated. For example, it is proved that the minimum peak momentum decreases as the maneuver time increases, and the minimum maneuver energy decreases if a larger momentum is available from the control momentum gyroscopes. The analysis is verified and complemented by the numerical computations. Among the three types of ZPM paths, the momentum-optimal solution and the time-optimal solution generally possess the same structure, and they are singular. The energy-optimal solution saves significant energy, while generally maintaining a smooth control profile.

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This material has been published in the Journal of Optimization Theory and Applications, Vol. 163, No. 3, December 2014, pp. 926-948. Unfortunately the copyright agreement with Springer does not allow for the PDF file of the paper to be available on this website. However the paper is available from Springer - see the link below.


Link to paper using doi: 10.1007/s10957-014-0524-8

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Link to the Journal of Optimization Theory and Applications on SpringerLink