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Extended state observer-based third-order sliding mode finite-time attitude tracking controller for rigid spacecraft

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Abstract

In this paper, the attitude tracking control problem for a rigid spacecraft in the presence of system parameter uncertainties and external disturbances is addressed. First, a new nonsingular finite-time sliding surface is introduced and third-order sliding mode finite-time attitude control law is designed to achieve precise accurate tracking responses and robustness against inertia uncertainties and external disturbances. The stability of the closed-loop system is rigorously proved using the Lyapunov stability theory. Then, a new finite-time extended state observer is established to estimate total disturbances of the system. The extended stated observer-based sliding mode control technique yields improved disturbance rejection and high-precision attitude tracking. Moreover, this control law can avoid the unwinding phenomenon and overcome the input saturation constraint by introducing an auxiliary variable to compensate for the overshooting. A Lyapunov based analysis is provided to guarantee sufficiently small observation error and stabilization of the closed-loop system in finite time. Numerical simulations are conducted to verify the effectiveness of the proposed control method.

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References

  1. 1

    Chen Z Y, Huang J. Attitude tracking and disturbance rejection of rigid spacecraft by adaptive control. IEEE Trans Autom Control, 2009, 54: 600–605

  2. 2

    Zhu Z, Xia Y Q, Fu M Y. Adaptive sliding mode control for attitude stabilization with actuator saturation. IEEE Trans Ind Electron, 2011, 58: 4898–4907

  3. 3

    Yeh F K. Sliding-mode adaptive attitude controller design for spacecrafts with thrusters. IET Control Theory Appl, 2010, 4: 1254–1264

  4. 4

    Lu K F, Xia Y Q, Zhu Z, et al. Sliding mode attitude tracking of rigid spacecraft with disturbances. J Franklin Inst, 2012, 349: 413–440

  5. 5

    Luo W C, Chu Y C, Ling K V. Inverse optimal adaptive control for attitude tracking of spacecraft. IEEE Trans Autom Control, 2005, 50: 1639–1654

  6. 6

    Pukdeboon C, Zinober A S I. Control Lyapunov function optimal sliding mode controllers for attitude tracking of spacecraft. J Franklin Inst, 2012, 349: 456–475

  7. 7

    Zou A M. Finite-time output feedback attitude tracking control for rigid spacecraft. IEEE Trans Control Syst Technol, 2014, 22: 338–345

  8. 8

    Show L L, Juang J C, Jan Y W. An LMI-based nonlinear attitude control approach. IEEE Trans Control Syst Technol, 2003, 11: 73–83

  9. 9

    Cong B L, Liu X D, Chen Z. Backstepping based adaptive sliding mode control for spacecraft attitude maneuvers. J Aerosp Eng, 2013, 22: 1–7

  10. 10

    Guo Y, Song S M. Adaptive finite-time backstepping control for attitude tracking of spacecraft based on rotation matrix. Chinese J Aeronaut, 2014, 27: 375–382

  11. 11

    Pisu P, Serrani A. Attitude tracking with adaptive rejection of rate gyro disturbances. IEEE Trans Autom Control, 2007, 52: 2374–2379

  12. 12

    Zou A M, Kumar K D. Adaptive fuzzy fault-tolerant attitude control of spacecraft. Control Eng Pract, 2011, 19: 10–21

  13. 13

    Utkin V I. Sliding Modes in Control and Optimization. Berlin: Spinger, 1992

  14. 14

    Bhat S P, Bernstein D S. Finite-time stability of continuous autonomous systems. SIAM J Control Opt, 2000, 38: 751–766

  15. 15

    Bhat S P, Bernstein D S. Geometric homogeneity with applications to finite-time stability. Math Control Signal Syst, 2005, 17: 101–127

  16. 16

    Man Z H, Paplinski A P,Wu H R. A robust MIMO terminal sliding mode control scheme for rigid robotic manipulators. IEEE Trans Autom Control, 1994, 39: 2464–2469

  17. 17

    Wu Y Q, Yu X H, Man Z H. Terminal sliding mode control design for uncertain dynamic systems. Syst Control Lett, 1998, 34: 281–287

  18. 18

    Lu K F, Xia Y Q. Finite-time fault-tolerant control for rigid spacecraft with actuator saturations. IET Control Theory Appl, 2013, 7: 1529–1539

  19. 19

    Pukdeboon C, Siricharuanun P. Nonsingular terminal sliding mode based finite-time control for spacecraft attitude tracking. Int J Control Autom Syst, 2014, 12: 530–540

  20. 20

    Guo Y, Song S M, Li X H. Quaternion-based finite-time control for attitude tracking of the spacecraft without unwinding. Int J Control Autom Syst, 2015, 13: 1351–1359

  21. 21

    Zhao L, Jia Y M. Finite-time attitude tracking control for a rigid spacecraft using time-varying terminal sliding mode techniques. Int J Control, 2015, 88: 1150–1162

  22. 22

    Tiwari P M, Janardhanan S, un Nabi M. Rigid spacecraft attitude control using adaptive integral second order sliding mode. Aerosp Sci Technol, 2015, 42: 50–57

  23. 23

    Gui H, Vukovich G. Adaptive integral sliding mode control for spacecraft attitude tracking with actuator uncertainty. J Franklin Inst, 2015, 352: 5832–5852

  24. 24

    Chen M, Wu Q X, Cui R X. Terminal sliding mode tracking control for a class of SISO uncertain nonlinear systems. ISA Trans, 2013, 52: 198–206

  25. 25

    Wallsgrove R J, Akella M R. Globally stabilizing saturated attitude control in the presence of bounded unknown disturbances. J Guid Control Dyn, 2005, 28: 957–963

  26. 26

    Boškovic J D, Li S M, Mehra R K. Robust adaptive variable structure control of spacecraft under control input saturation. J Guid Control Dyn, 2001, 24: 14–22

  27. 27

    Hu Q L, Li B, Qi J T. Disturbance observer based finite-time attitude control for rigid spacecraft under input saturation. Aerosp Sci Technol, 2014, 39: 13–21

  28. 28

    Laghrouche S, Smaoui M, Plestan F, et al. Higher order sliding mode control based on optimal approach of an electropneumatic actuator. Int J Control, 2006, 79: 119–131

  29. 29

    Benahdouga S, Boukhetala D, Boudjema F. Decentralized high order sliding mode control of multimachine power systems. Int J Electr Power Energy Syst, 2012, 43: 1081–1086

  30. 30

    Tian B L, Zong Q, Wang J, et al. Quasi-continuous high-order sliding mode controller design for reusable launch vehicles in reentry phase. Aerosp Sci Technol, 2013, 28: 198–207

  31. 31

    Delprat S, de Loza A F. High order sliding mode control for hybrid vehicle stability. Int J Syst Sci, 2014, 45: 1202–1212

  32. 32

    Perruquetti W, Barbot J P. Sliding Mode Control in Engineering. New York: Marcel Dekker, 2002

  33. 33

    Edwards C, Colet E F, Fridman L. Advances in Variable Structure and Sliding Mode Control. Berlin: Springer, 2006

  34. 34

    Levant A. Higher-order sliding modes, differentiation and output-feedback control. Int J Control, 2003, 76: 924–941

  35. 35

    Levant A, Pridor A, Gitizadeh R, et al. Aircraft pitch control via second-order sliding technique. J Guid Control Dyn, 2000, 23: 586–594

  36. 36

    Shtessel Y B, Shkolnikov I A, Levant A. Smooth second-order sliding modes: missile guidance application. Automatica, 2007, 43: 1470–1476

  37. 37

    Pukdeboon C. Output feedback second order sliding mode control for spacecraft attitude and translation motion. Int J Control Autom Syst, 2016, 14: 411–424

  38. 38

    Pukdeboon C, Zinober A S I, Thein M W L. Quasi-continuous higher order sliding-mode controllers for spacecraftattitude-tracking maneuvers. IEEE Trans Ind Electron, 2010, 57: 1436–1444

  39. 39

    Shen Y X, Shao K Y, Ren W J, et al. Diving control of autonomous underwater vehicle based on improved active disturbance rejection control approach. Neurocomputing, 2016, 173: 1377–1385

  40. 40

    Su Y X, Zheng C H, Duan B Y. Automatic disturbances rejection controller for precise motion control of permanentmagnet synchronous motors. IEEE Trans Ind Electron, 2005, 52: 814–823

  41. 41

    Zhu Z, Xu D, Liu J M, et al. Missile guidance law based on extended state observer. IEEE Trans Ind Electron, 2013, 60: 5882–5891

  42. 42

    Lu K F, Xia Y Q. Finite-time fault-tolerant control for rigid spacecraft with actuator saturations. IET Control Theory Appl, 2013, 7: 1529–1539

  43. 43

    Yang J, Li S H, Yu X H. Sliding-mode control for systems with mismatched uncertainties via a disturbance observer. IEEE Trans Ind Electron, 2012, 60: 160–169

  44. 44

    Yang J, Li S H, Su J Y, et al. Continuous nonsingular terminal sliding mode control for systems with mismatched disturbances. Automatica, 2013, 49: 2287–2291

  45. 45

    Yang J, Su J Y, Li S H, et al. High-order mismatched disturbance compensation for motion control systems via a continuous dynamic sliding-mode approach. IEEE Trans Ind Inf, 2014, 10: 604–614

  46. 46

    Yang J, Chen W H, Li S H, et al. Disturbance/uncertainty estimation and attenuation techniques in PMSM drives — a survey. IEEE Trans Ind Electron, 2017, 64: 3273–3285

  47. 47

    Wertz J R. Spacecraft Attitude Determination and Control. Berlin: Kluwer Academic, 1978

  48. 48

    Sidi M J. Spacecraft Dynamics and Control a Practical Engineering Approach. Cambridge: Cambridge University Press, 1997

  49. 49

    Shuster M D. A survey of attitude representations. J Astronaut Sci, 1993, 41: 439–517

  50. 50

    Lan Q X, Qian C J, Li S H. Finite-time disturbance observer design and attitude tracking control of a rigid spacecraft. J Dyn Syst Meas Control, 2017, 139: 061010

  51. 51

    Yan R D, Wu Z. Attitude stabilization of flexible spacecrafts via extended disturbance observer based controller. Acta Astronaut, 2017, 133: 73–80

  52. 52

    Zhong C X, Chen Z Y, Guo Y. Attitude control for flexible spacecraft with disturbance rejection. IEEE Trans Aerosp Electron Syst, 2017, 53: 101–110

  53. 53

    Chen M, Ren B B, Wu Q X, et al. Anti-disturbance control of hypersonic flight vehicles with input saturation using disturbance observer. Sci China Inf Sci, 2015, 58: 070202

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Acknowledgements

The work was supported by King Mongkut’s University of Technology North Bangkok and Thailand Research Fund (TRF) (Grant No. RSA6080043).

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Correspondence to Chutiphon Pukdeboon.

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Cite this article

Pukdeboon, C. Extended state observer-based third-order sliding mode finite-time attitude tracking controller for rigid spacecraft. Sci. China Inf. Sci. 62, 12206 (2019). https://doi.org/10.1007/s11432-017-9389-9

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Keywords

  • third-order sliding mode
  • sliding mode control
  • extended stated observer
  • finite-time convergence
  • unwinding phenomenon