A parallel distributed compensation approach to fuzzy control of spacecraft combined attitude and sun tracking

  • Authors

    • Yew-Chung Chak
    • Renuganth Varatharajoo
    2018-10-09
    https://doi.org/10.14419/ijet.v7i4.13.21324
  • attitude control, fuzzy control, parallel distributed compensation, spacecraft, Takagi–Sugeno fuzzy model.
  • A spacecraft combined attitude and sun tracking system (CASTS) is a synergized system in which solar array drive assemblies are used as sun trackers and simultaneously as attitude control actuators. This paper, a continuous research on CASTS, addresses its attitude control problem. The kinematics and dynamics equations of a rigid spacecraft attitude motion is inherently nonlinear. In the attitude regulation problem, the attitude motion can be treated as a simple linear system for a constrained range of operating conditions, but it has impacts on the accuracy of the linear model when a model-based controller is implemented. Naturally, this is a compromise between simplicity and accuracy that all design engineers have to face. In this paper, we present a systematic approach to improve the accuracy while preserving the model as linear as possible, by deriving a quasi-linear approximation of a nonlinear spacecraft attitude motion. The quasi-linear approximation is based on the framework of the Takagi–Sugeno (T–S) fuzzy model. If a spacecraft can be modeled in the form of a rule-based T-S fuzzy system that acts as an interpolator between linear state-space systems, an approach called parallel distributed control (PDC) can be used to stabilize the attitude motion. The design philosophy of PDC is to create a simple fuzzy controller, where each rule’s consequent is a control law designed to stabilize the linear system in the corresponding consequent of the spacecraft T-S fuzzy system. Numerical results validate that the attitude and sun-tracking performances are achievable using the proposed PDC strategy.

     

  • References

    1. [1] Berger E (2018), The Zuma failure has emboldened critics of SpaceX. Ars Technica. Available: https://arstechnica.com/science/ 2018/01/the-zuma-failure-has-emboldened-critics-of-spacex/

      [2] Robertson B (2003), Stoneking E. Satellite GN & C Anomaly Trends, Annual AAS Rocky Mountain Guidance and Control Conference, American Astronautical Society; [Online]. Available at: http://ntrs.nasa.gov/search.jsp?R=20030025663

      [3] Varatharajoo R (2006), Operation for the combined energy and attitude control system. Aircraft Engineering and Aerospace Technology: An International Journal 78(6): 495–501.

      [4] Varatharajoo R & Kahle R (2005), A review of conventional and synergistic systems for small satellites. Aircraft Engineering and Aerospace Technology: An International Journal 77(2): 131–141.

      [5] Chak Y-C & Varatharajoo R (2015), A novel design of spacecraft combined attitude & sun tracking system using a versatile fuzzy controller. Aircraft Engineering and Aerospace Technology: An International Journal 87(6): 530–539.

      [6] Chak Y-C, Varatharajoo R & Razoumny Y (2017), Disturbance observer-based fuzzy control for flexible spacecraft combined attitude & sun tracking system. Acta Astronautica 133: 302–310.

      [7] Takagi T & Sugeno M (1985), Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man, and Cybernetics. IEEE; SMC-15(1): 116–132.

      [8] Tanaka K & Wang HO (2001), Fuzzy Control Systems Design and Analysis. John Wiley & Sons.

      [9] Lilly JH (2010), Parallel Distributed Control with Takagi-Sugeno Fuzzy Systems. Fuzzy Control and Identification. John Wiley & Sons.

      [10] Sugeno M & Kang GT (1986), Fuzzy modelling and control of multilayer incinerator. Fuzzy Sets and Systems 18(3): 329–345.

      [11] Tanaka K & Sugeno M (1992), Stability analysis and design of fuzzy control systems. Fuzzy Sets and Systems 45(2):135–156.

      [12] Wang HO, Tanaka K & Griffin M (1995), Parallel distributed compensation of nonlinear systems by Takagi-Sugeno fuzzy model. IEEE International Conference on Fuzzy Systems.

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  • How to Cite

    Chak, Y.-C., & Varatharajoo, R. (2018). A parallel distributed compensation approach to fuzzy control of spacecraft combined attitude and sun tracking. International Journal of Engineering & Technology, 7(4.13), 28-32. https://doi.org/10.14419/ijet.v7i4.13.21324