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A Local Optimization Technique for Attitude Motion Tracking Using Control Moment Gyroscopes

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Abstract

A control technique is proposed for satellite attitude slew maneuvers, where the reference trajectory is specified as a function of time. A feedforward steering law, capable of avoiding singular states, is generated by a local optimization technique where, in the framework of integration methods, an inverse simulation problem is solved. A novel tracking controller is developed to account for model uncertainties and external disturbances. Physical limitations of the system in terms of maximum command rates and angles of gimbals and/or maximum command torque can be precisely accounted for in the determination of the control profile. Finally, the inverse simulation algorithm appears highly efficient in terms of computational time.

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References

  1. WIE, B. Space Vehicle Dynamics and Control, American Institute of Aeronautics and Astronautics, Inc., Reston, VA, 1998, Ch. 7.

    MATH  Google Scholar 

  2. HEIDEBERG, C. J., BAILEY, D. and WIE, B. “Precision Spacecraft Pointing Using Single-Gimbal Control Moment Gyroscopes with Disturbances,” Journal of Guidance, Control and Dynamics, Vol. 23, No. 1, Jan.–Feb. 2000, pp. 77–85.

    Article  Google Scholar 

  3. FORD, K. A. “Reorientation of Flexible Spacecraft Using Momentum Exchange Devices,” Ph.D. Dissertation, Dept. of Aeronautics and Astronautics, Air Force Inst. of Technology, Wright Patterson AFB, OH, Sept. 1997.

  4. FORD, K. A. and HALL, C. D. “Flexible Spacecraft Reorientations Using Gimbaled Momentum Wheels,” The Journal of the Astronautical Sciences, Vol. 49, No. 3, Jul.–Sept. 2001, pp. 421–441.

    Google Scholar 

  5. BEDROSSIAN, N. S., PARADISO, J., BERGMANN E. V and ROWELL, D. “Redundant Single Gimbal Control Moment Gyroscopes Singularity Analysis,” The Journal of Guidance, Control and Dynamics, Vol. 13, No. 6, Nov.–Dec. 1990, pp. 1096–1101.

    Article  Google Scholar 

  6. MARGULIES, G. and AUBRUN, J. N. “Geometric Theory of Single-Gimbal Control Moment Gyro Systems,” The Journal of the Astronautical Sciences, Vol. 26, No 2, Apr.–June 1978, pp. 159–191.

    Google Scholar 

  7. BEDROSSIAN, N. S., PARADISO, J., BERGMANN, E. V. and ROWELL, D. “Steering Law Design for Redundant Single-Gimbal Control Moment Gyroscopes,” The Journal of Guidance, Control and Dynamics, Vol. 13, No. 6, Nov.–Dec. 1990, pp. 1083–1089.

    Article  Google Scholar 

  8. VADALI, S. R. and KRISHNAN, S. “Suboptimal Command Generation for Control Moment Gyroscopes and Feedback Control of Spacecraft,” Journal of Guidance, Control and Dynamics, Vol. 18, No. 6, Nov.–Dec. 1995, pp. 1350–1354.

    Article  Google Scholar 

  9. CORNICK, D. E. “Singularity-Avoidance Control Laws for Single Gimbal Control Moment Gyros,” AIAA Paper 79-1698, Aug. 1979.

  10. SCHAUB, H. and JUNKINS, J. L. “Singularity Avoidance Using Null Motion and Variable-Speed Control Moment Gyros,” Journal of Guidance, Control and Dynamics, Vol. 23, No. 1, Jan.–Feb. 2000, pp. 11–16.

    Article  Google Scholar 

  11. HOELSCHER, B. R. and VADALI, S. R. “Optimal Open-Loop and Feedback Control Using Single Gimbal Control Moment Gyroscopes,” The Journal of the Astronautical Sciences, Vol. 42, No. 2, Apr.–Jun. 1994, pp. 189–206.

    Google Scholar 

  12. VADALI, S. R. “Feedback Control of Space Structures: A Liapunov Approach,” Mechanics and Control of Large Flexible Structures, edited by J. L. Junkins, AIAA, Washington, DC, 1990, Chap. 24.

    Google Scholar 

  13. OH, H. S. and VADALI, S. R. “Feedback Control and Steering Laws for Spacecraft Using Single Gimbal Control Moment Gyros,” The Journal of the Astronautical Sciences, Vol. 39, No. 2, Apr.–June 1991, pp. 183–9.

    Google Scholar 

  14. HESS, R. A., GAO, C., and WANG, S. H. “Generalized Technique for Inverse Simulation Applied to Aircraft Maneuvers,” Journal of Guidance, Control and Dynamics, Vol. 14, No. 5, Sept.–Oct. 1991, pp. 920–9.

    Article  Google Scholar 

  15. de MATTEIS, G., de SOCIO, L. M., and LEONESSA, A. “Solution of Aircraft Inverse Problems by Local Optimization,” Journal of Guidance, Control and Dynamics, Vol. 18, No. 3, May–Jun. 1995, pp. 567–9.

    Article  Google Scholar 

  16. McINNES, C. R. “Satellite Attitude Slew Manoeuvres Using Inverse Control,” The Aeronautical Journal, May 1998, pp. 259–265.

  17. FORD, K. A. and HALL, C. D. “Singular Direction Avoidance Steering for Control-Moment Gyros,” Journal of Guidance, Control and Dynamics, Vol. 23, No. 4, Jul.–Aug. 2001, pp. 648–9.

    Article  Google Scholar 

  18. The NAG Fortran Library Manual, Mark 15, Numerical Algorithms Group Ltd., Oxford, England, UK, 1991.

  19. WIE, B., HEIDEBERG, C. J., and BAILEY, D. “Singularity Robust Steering Logic for Redundant Single-Gimbal Control Moment Gyros,” Journal of Guidance, Control and Dynamics, Vol. 24, No. 5, Sept.–Oct. 2001, pp. 865–9.

    Article  Google Scholar 

  20. SCHITTKOWSKI, K. “On the Convergence of a Sequential Quadratic Programming Method with an Augmented Lagrangian Line Search Function,” Rept. SOL 82-4, Dept. of Operations Research, Stanford Univ., 1982.

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Authors and Affiliations

  1. Department of Aerospace Engineering, Polytechnic of Turin, corso Duca degli Abruzzi 24, 10129, Turin, Italy

    Giulio Avanzini

  2. Department of Mechanics and Aeronautics, University of Rome “La Sapienza,”, via Eudossiana 18, 00184, Rome, Italy

    Guido de Matteis

Authors
  1. Giulio Avanzini
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  2. Guido de Matteis
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Avanzini, G., de Matteis, G. A Local Optimization Technique for Attitude Motion Tracking Using Control Moment Gyroscopes. J of Astronaut Sci 50, 213–229 (2002). https://doi.org/10.1007/BF03546263

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  • DOI: https://doi.org/10.1007/BF03546263

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