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access icon free Decentralised fault-tolerant control of tethered spacecraft formation: an interconnected system approach

  • Author(s): Zejun Zhang 1 ; Hao Yang 1 ; Bin Jiang 1 ; Vincent Cocquempot 2 ; Yuehua Cheng 3
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  • Source: Volume 11, Issue 17, 24 November 2017, p. 3047 – 3055
    DOI:  10.1049/iet-cta.2017.0485 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Received 06/05/2017, Accepted 30/08/2017, Revised 28/07/2017, Published 30/08/2017

In this study, a novel control strategy of a three-inline array tethered spacecraft formation is proposed, based on a simplified non-linear model around the equilibrium point. The formation stability is analysed by using an interconnected system approach which deeply reveals the coupling characteristic among three spacecraft. It is shown that both individual control laws of spacecraft and the coupling effects can achieve the stability. The problems of fault-tolerant control and fault propagation are further discussed. Simulation results validate the effectiveness of the proposed methods.

Inspec keywords: stability; space tethers; fault tolerant control; nonlinear systems; space vehicles; multi-robot systems; decentralised control; interconnected systems

Other keywords: interconnected system; decentralised fault-tolerant control; three-inline array tethered spacecraft formation control; formation stability; nonlinear model

Subjects: Nonlinear control systems; Aerospace control; Stability in control theory; Multivariable control systems

References

    1. 1)
      • 4. Mori, O., Matunaga, S.: ‘Formation and attitude control for rotational tethered satellite clusters’, J. Spacecr. Rockets, 2007, 44, (1), pp. 211–220.
    2. 2)
      • 2. Gao, H., Yang, X., Shi, P.: ‘Multi-objective robust control of spacecraft rendezvous’, IEEE Trans. Control Syst. Technol., 2009, 17, (4), pp. 794–802.
    3. 3)
      • 11. Chung, S.J., Slotine, J.J.E., Miller, D.W.: ‘Nonlinear model reduction and decentralized control of tethered formation flight’, J. Guid. Control Dyn., 2007, 30, (2), pp. 390–400.
    4. 4)
      • 29. Yang, H., Jiang, B., Cocquempot, V.: ‘Decentralized fault tolerant formation control for a class of tethered spacecraft’, IFAC-PapersOnLine, 2015, 48, (21), pp. 1128–1133.
    5. 5)
      • 34. Jiang, Z.P., Teel, A.R., Praly, L.: ‘Small-gain theorem for ISS systems and applications’, Math. Control Signals Syst., 1994, 7, (2), pp. 95–120.
    6. 6)
      • 35. Barua, A., Khorasani, K.: ‘Hierarchical fault diagnosis and fuzzy rule-based reasoning for satellites formation flight’, IEEE Trans. Aerosp. Electron. Syst., 2011, 47, (4), pp. 2435–2456.
    7. 7)
      • 9. Sun, H.B., Li, S.H., Fei, S.M.: ‘A composite control scheme for 6DOF spacecraft formation control’, Acta Astronaut., 2011, 69, (7), pp. 595–611.
    8. 8)
      • 15. Zhang, Y.M., Jiang, J.: ‘Bibliographical review on reconfigurable fault-tolerant control systems’, Annu. Rev. Control, 2008, 32, (2), pp. 229–252.
    9. 9)
      • 16. Patton, R.J.: ‘Fault-tolerant control’ (Encyclopedia of Systems and Control, 2015), pp. 422–428.
    10. 10)
      • 26. Godard, Kumar, K.D.: ‘Robust attitude stabilization of spacecraft subject to actuator failures’, Acta Astronaut., 2011, 68, (7), pp. 1242–1259.
    11. 11)
      • 22. Yin, S., Xiao, B., Ding, S.X., et al.: ‘A review on recent development of spacecraft attitude fault tolerant control system’, IEEE Trans. Ind. Electron., 2016, 63, (5), pp. 3311–3320.
    12. 12)
      • 13. Yan, X.G., Spurgeon, S.K., Edwards, C.: ‘Global decentralised static output feedback sliding-mode control for interconnected time-delay systems’, IET Control Theory Appl., 2012, 6, (2), pp. 192–202.
    13. 13)
      • 19. Li, Y., Ma, Z., Tong, S.: ‘Adaptive fuzzy output-constrained fault-tolerant control of nonlinear stochastic large-scale systems with actuator faults’, IEEE Trans. Cybern., 2017, 47, (9), pp. 2362–2376.
    14. 14)
      • 37. Jiang, B., Staroswiecki, M., Cocquempot, V.: ‘Fault accommodation for nonlinear dynamic systems’, IEEE Trans. Autom. Control, 2006, 51, (9), pp. 1578–1583.
    15. 15)
      • 7. Lee, T., Leok, M., McClamroch, N.H.: ‘High-fidelity numerical simulation of complex dynamics of tethered spacecraft’, Acta Astronaut., 2014, 99, pp. 215–230.
    16. 16)
      • 14. Blanke, M., Kinnaert, M., Lunze, J., et al.: ‘Diagnosis and fault-tolerant Control’ (Springer Verlag, Berlin Heidelberg, 2006, 2st edn.).
    17. 17)
      • 18. Li, Y., Tong, S.: ‘Adaptive neural networks decentralized FTC design for nonstrict-feedback nonlinear interconnected large-scale systems against actuator faults’, IEEE Trans. Neural Netw. Learn. Syst., 2016, DOI: 10.1109/TNNLS.2016.2598580.
    18. 18)
      • 25. Xiao, B., Hu, Q.L., Zhang, Y.M.: ‘Adaptive sliding mode fault tolerant attitude tracking control for flexible spacecraft under actuator saturation’, IEEE Trans. Control Syst. Technol., 2012, 20, (6), pp. 1605–1612.
    19. 19)
      • 21. Wang, Z., Liu, L., Zhang, H., et al.: ‘Fault-tolerant controller design for a class of nonlinear MIMO discrete-time systems via online reinforcement learning algorithm’, IEEE Trans. Syst. Man Cybern., Syst., 2016, 46, (5), pp. 611–622.
    20. 20)
      • 36. Zhang, X., Zhang, Q.: ‘Distributed fault diagnosis in a class of interconnected nonlinear uncertain systems’, Int. J. Control, 2013, 37, (1), pp. 170–179.
    21. 21)
      • 23. Hu, Q.L., Xiao, B., Friswell, M.I.: ‘Robust fault-tolerant control for spacecraft attitude stabilisation subject to input saturation’, IET Control Theory Appl., 2011, 5, (2), pp. 271–282.
    22. 22)
      • 28. Azizi, S.M., Khorasani, K.: ‘A hierarchical architecture for cooperative fault accommodation of formation flying satellites in deep space’. Proc. of American Control Conf., June 2009, pp. 4178–4183.
    23. 23)
      • 3. Du, H., Li, S., Qian, C.: ‘Finite-time attitude tracking control of spacecraft with application to attitude synchronization’, IEEE Trans. Autom. Control, 2011, 56, (11), pp. 2711–2717.
    24. 24)
      • 5. Larsen, M.B., Blanke, M.: ‘Passivity-based control of a rigid electrodynamic tether’, J. Guid. Control Dyn., 2011, 34, (1), pp. 118–127.
    25. 25)
      • 8. Li, G.Q., Zhu, Z.H.: ‘Long-term dynamic modeling of tethered spacecraft using nodal position finite element method and symplectic integration’, Celest. Mech. Dyn. Astron., 2015, 123, (4), pp. 363–386.
    26. 26)
      • 12. Chang, I., Park, S.Y., Choi, K.: ‘Nonlinear attitude control of a tether-connected multi-satellite in three-dimensional space’, IEEE Trans. Aerosp. Electron. Syst., 2010, 46, (4), pp. 1950–1968.
    27. 27)
      • 31. Khalil, H.K.: ‘Nonlinear systems’ (Prentice-Hall, Upper Saddle River, NJ, 2002, 3rd edn.).
    28. 28)
      • 1. Alfriend, K.T., Vadali, S., Gurfil, P., et al.: ‘Spacecraft formation flying: dynamics, control and navigation’ (Butterworth-Heinemann, 2009).
    29. 29)
      • 27. Zhang, H., Han, J., Wang, Y., et al.: ‘Sensor fault estimation of switched fuzzy systems with unknown input’,IEEE Trans. Fuzzy Syst., 2017, DOI: 10.1109/TFUZZ.2017.2704543.
    30. 30)
      • 32. Sontag, E., Wang, Y.: ‘New characterizations of input-to-state stability’, IEEE Trans. Autom. Control, 1996, 41, (9), pp. 1283–1294.
    31. 31)
      • 20. Tong, S., Wang, T., Li, Y.: ‘Fuzzy adaptive actuator failure compensation control of uncertain stochastic nonlinear systems with unmodeled dynamics’, IEEE Trans. Fuzzy Syst., 2014, 22, (3), pp. 563–574.
    32. 32)
      • 17. Tong, S., Huo, B., Li, Y.: ‘Observer-based adaptive decentralized fuzzy fault-tolerant control of nonlinear large-scale systems with actuator failures’, IEEE Trans. Fuzzy Syst., 2014, 22, (1), pp. 1–15.
    33. 33)
      • 6. Hu, Q.L.: ‘Sliding mode attitude control with L 2-gain performance and vibration reduction of flexible spacecraft with actuator dynamics’, Acta Astronaut., 2010, 67, (5), pp. 572–583.
    34. 34)
      • 30. Kumar, K.D., Tan, B.: ‘Fault tolerant stabilization of a tethered satellite system using offset control’, J. Spacecr. Rockets, 2008, 45, (5), pp. 1070–1084.
    35. 35)
      • 33. Dashkovskiy, S.B., Ruffer, B.S., Wirth, F.R.: ‘Small gain theorems for large scale systems and construction of ISS Lyapunov functions’, SIAM J. Control Optim., 2010, 48, (6), pp. 4089–4118.
    36. 36)
      • 24. Hu, Q.L., Xiao, B., Zhang, Y.M.: ‘Fault-tolerant attitude control for spacecraft under loss of actuator effectiveness’, J. Guid. Control Dyn., 2011, 34, (3), pp. 927–932.
    37. 37)
      • 10. Bombardelli, C., Lorenzini, E.C., Quadrelli, M.B.: ‘Retargeting dynamics of a linear tethered interferometer’, J. Guid. Control Dyn., 2004, 27, (6), pp. 1061–1067.
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