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Semitensor product based adaptive control for attitude tracking of spacecraft with unknown external disturbances

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Abstract

This paper investigates the attitude tracking and disturbance rejection problem of rigid spacecraft. Using a new matrix product, i.e., the semitensor product of matrices, the parameter uncertainties in the inertia matrix is isolated. Both the parameter uncertainties and the external disturbance are handled by robust adaptive control method. By combining the semitensor product of matrices, backstepping control methodology, and adaptive control technique, a new adaptive control law is designed. Simulation result is also presented to demonstrate the proposed design method.

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Authors and Affiliations

  1. Control and Simulation Center, Harbin Institute of Technology, Harbin Heilongjiang, 150001, China

    Xuxi Zhang

  2. College of Science, Harbin Engineering University, Harbin Heilongjiang, 150001, China

    Xuxi Zhang

Authors
  1. Xuxi Zhang
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Correspondence to Xuxi Zhang.

Additional information

This work was supported by the National Natural Science Foundation of China (Nos. 60736022, 61074114).

Xuxi ZHANG received his B.S. degree from Hebei Normal University, Shijiazhuang, and the M.S. degree from Harbin Institute of Technology, Harbin, China, in 2003 and 2005, respectively. He is currently pursuing the Ph.D. degree in the School of Astronautics, Harbin Insitute of Technology. His research interests include attitude control, robust and adaptive nonlinear control.

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Zhang, X. Semitensor product based adaptive control for attitude tracking of spacecraft with unknown external disturbances. J. Control Theory Appl. 10, 292–296 (2012). https://doi.org/10.1007/s11768-012-1157-9

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  • DOI: https://doi.org/10.1007/s11768-012-1157-9

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