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Tracking Controller Design for Satellite Attitude Under Unknown Constant Disturbance Using Stable Embedding

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Abstract

We propose a tracking control law for the fully actuated rigid body system in the presence of any unknown constant disturbance by employing quaternions with the stable embedding technique and Lyapunov stability theory. The stable embedding technique extends the attitude dynamics from the set of unit quaternions to the set of quaternions, which is a Euclidean space, such that the set of unit quaternions is an invariant set of the extended dynamics. Such a stable extension of the system dynamics to a Euclidean space allows us to employ well studied Lyapunov techniques in Euclidean spaces such as LaSalle–Yoshizawa’s theorem. A robust tracking control law is proposed for the attitude dynamics subject to unknown constant disturbance and the convergence properties of the tracking control law is rigorously proven. It is demonstrated with the help of numerical simulations that the proposed control law has a remarkable performance even in some challenging situations.

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Authors and Affiliations

  1. Hanon Systems, 95, Sinilseo-ro, Daedeok-gu, Daejeon, Korea

    Wonshick Ko

  2. Department of Mathematical Engineering and Information Physics, University of Tokyo, 7 Chome-3-1 Hongo, Bunkyo City, Tokyo, 113-8654, Japan

    Karmvir Singh Phogat

  3. CAS, MINES ParisTech, Paris, France

    Nicolas Petit

  4. School of Electrical Engineering, Korea Advanced Institute of Science and Technology, 291 Daehak-ro, Daejeon, Korea

    Dong Eui Chang

Authors
  1. Wonshick Ko
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  2. Karmvir Singh Phogat
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  3. Nicolas Petit
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  4. Dong Eui Chang
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Correspondence to Dong Eui Chang.

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Ko, W., Phogat, K.S., Petit, N. et al. Tracking Controller Design for Satellite Attitude Under Unknown Constant Disturbance Using Stable Embedding. J. Electr. Eng. Technol. 16, 1089–1097 (2021). https://doi.org/10.1007/s42835-020-00622-3

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  • DOI: https://doi.org/10.1007/s42835-020-00622-3

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