A case study on spacecraft attitude control

Ahmed, Rihan, Gu, Da-Wei and Postlethwaite, Ian (2009) A case study on spacecraft attitude control. In: Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference. IEEE, Piscataway, NJ, pp. 7345-7350. ISBN 978-1424438716

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Official URL: http://dx.doi.org/10.1109/CDC.2009.5400307

Abstract

In this paper, we present a case study on spacecraft attitude control. The plant (spacecraft attitude model) is a second order, nonlinear, multi-input-multi-output system defined by Euler's equations of rotational motion and the kinematic differential equations. The modified Rodrigues parameter (MRP) is used for kinematic parametrization and is the only measurable variable at the plant output. It is shown that the non-linear plant can be globally asymptotically stabilized by an output feedback control law proposed in the paper. Stability is proved by Lyapunov's theorem with a new Lyapunov candidate function. In the control scheme design method, the rate of change of the output (attitude) is approximated using a high gain, high pass filter located in the inner feedback loop. In this way, the proposed control scheme possesses the robustness and simplicity of a PD controller, but does not require attitude rate measurement, angular velocity measurement or direct use of differentiators. Furthermore, the control scheme does not require any information about the body principal moments of inertia and is therefore robust with respect to system parametric uncertainty. This makes the approach practically useful and acceptable by practising engineers. The simulations included in the paper show the robust performance and zero tracking error of the overall closed loop, demonstrating the effectiveness of the proposed stabilization approach. Finally, the paper includes a comparison between the controllers designed by the proposed scheme, by an H¿ loop shaping design procedure and by a mixed sensitivity design, for the same given plant.

Item Type: Book Section
Additional Information: Proceedings of the 48th IEEE Conference from 15-18 December 2009, held in Shanghai, China
Subjects: H600 Electronic and Electrical Engineering
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Sarah Howells
Date Deposited: 16 Oct 2012 11:06
Last Modified: 10 Nov 2016 12:39
URI: http://nrl.northumbria.ac.uk/id/eprint/9693

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