Skip to main content
Log in

Dual-quaternion-based satellite pose estimation and control with event-triggered data transmission

  • Article
  • Published:
Science China Technological Sciences Aims and scope Submit manuscript

Abstract

This paper proposes an event-triggered active disturbance rejection control framework to achieve the simultaneous position and attitude control of a satellite in proximity operations. Firstly, to facilitate the satellite motion description, we derive the relative kinematics and dynamics in terms of dual quaternions with the considerations of internal uncertainties and external disturbances. Then, two kinds of event-triggered mechanisms in the sensor/observer and controller/actuator channels are proposed to reduce the utilization of onboard communication resources and to improve control performance, respectively. The observation error and tracking error of both the attitude and orbit systems are theoretically proven to be asymptotically bounded. Finally, the simulation results show that the proposed method can achieve simultaneous position and attitude tracking between target and chaser satellites with satisfactory control performance and reduced communication rates.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Zhang Y Q, Li X, Liu H B, et al. Pose optimization based on integral of the distance between line segments. Sci China Tech Sci, 2016, 59: 135–148

    Article  Google Scholar 

  2. Sun L. Adaptive fault-tolerant constrained control of cooperative spacecraft rendezvous and docking. IEEE Trans Ind Electron, 2020, 67: 3107–3115

    Article  Google Scholar 

  3. Zhao P Y, Liu J G, Wu C C. Survey on research and development of on-orbit active debris removal methods. Sci China Tech Sci, 2020, 63: 2188–2210

    Article  Google Scholar 

  4. Huang X, You Z, Chen L, et al. Coupled relative orbit and attitude control augmented by the geomagnetic Lorentz propulsions. J Guidance Control Dyn, 2021, 44: 1143–1156

    Article  Google Scholar 

  5. Hu Q, Jiang C. Relative stereovision-based navigation for noncooperative spacecraft via feature extraction. IEEE ASME Trans Mechatron, 2022, 27: 2942–2952

    Article  Google Scholar 

  6. Hu Q, Chen W, Zhang Y. Concurrent proximity control of servicing spacecraft with an uncontrolled target. IEEE ASME Trans Mechatron, 2019, 24: 2815–2826

    Article  Google Scholar 

  7. Sun L, Huo W. Adaptive fuzzy control of spacecraft proximity operations using hierarchical fuzzy systems. IEEE ASME Trans Mechatron, 2016, 21: 1629–1640

    Article  Google Scholar 

  8. Hu Q, Chen W, Zhang Y. Concurrent proximity control of servicing spacecraft with an uncontrolled target. IEEE ASME Trans Mechatron, 2019, 24: 2815–2826

    Article  Google Scholar 

  9. Hu Z H, Yuan H, Xu W F, et al. A geometric method based on space arc for pose-configuration simultaneous planning of segmented hyper-redundant manipulators. Sci China Tech Sci, 2021, 64: 2389–2407

    Article  Google Scholar 

  10. Filipe N, Tsiotras P. Adaptive model-independent tracking of rigid body position and attitude motion with mass and inertia matrix identification using dual quaternions. In: Proceedings of the AIAA Guidance, Navigation, and Control (GNC) Conference. Boston, 2013

  11. Wang J, Sun Z. 6-DOF robust adaptive terminal sliding mode control for spacecraft formation flying. Acta Astronaut, 2012, 73: 76–87

    Article  Google Scholar 

  12. Gui H, Vukovich G. Dual-quaternion-based adaptive motion tracking of spacecraft with reduced control effort. Nonlinear Dyn, 2016, 83: 597–614

    Article  MathSciNet  MATH  Google Scholar 

  13. Su X, Liu X, Shi P, et al. Sliding mode control of hybrid switched systems via an event-triggered mechanism. Automatica, 2018, 90: 294–303

    Article  MathSciNet  MATH  Google Scholar 

  14. Huang N, Duan Z S, Zhao Y. Distributed consensus for multiple Euler-Lagrange systems: An event-triggered approach. Sci China Tech Sci, 2016, 59: 33–44

    Article  Google Scholar 

  15. Song J, Wang Y K, Niu Y, et al. Periodic event-triggered terminal sliding mode speed control for networked PMSM system: A GA-optimized extended state observer approach. IEEE ASME Trans Mechatron, 2022, 27: 4153–4164

    Article  Google Scholar 

  16. Hu A H, Park J H, Cao J D, et al. Event-triggered bipartite consensus over cooperation-competition networks under DoS attacks. Sci China Tech Sci, 2021, 64: 157–168

    Article  Google Scholar 

  17. Tang Y, Zhang D, Jin X, et al. A resilient attitude tracking algorithm for mechanical systems. IEEE ASME Trans Mechatron, 2019, 24: 2550–2561

    Article  Google Scholar 

  18. Wang X X, Liu Z X, Chen Z Q. Event-triggered fault-tolerant consensus control with control allocation in leader-following multi-agent systems. Sci China Tech Sci, 2021, 64: 879–889

    Article  Google Scholar 

  19. Ristevski S, Yucelen T, Muse J A. An event-triggered distributed control architecture for scheduling information exchange in networked multiagent systems. IEEE Trans Contr Syst Technol, 2022, 30: 1090–1101

    Article  Google Scholar 

  20. Shi Y, Hu Q. Observer-based spacecraft formation coordinated control via a unified event-triggered communication. IEEE Trans Aerosp Electron Syst, 2021, 57: 3307–3319

    Article  Google Scholar 

  21. Hou L, Zou H, Zheng K, et al. Orbit estimation for spacecraft based on intermittent measurements: An event-triggered ukf approach. IEEE Trans Aerosp Electron Syst, 2022, 58: 304–317

    Article  Google Scholar 

  22. Wang C, Guo L, Wen C, et al. Event-triggered adaptive attitude tracking control for spacecraft with unknown actuator faults. IEEE Trans Ind Electron, 2020, 67: 2241–2250

    Article  Google Scholar 

  23. Cai D, Zou H, Wang J, et al. Event-triggered attitude tracking for rigid spacecraft. Sci China Inf Sci, 2019, 62: 222202

    Article  MathSciNet  Google Scholar 

  24. Liu W, Geng Y, Wu B, et al. Neural-network-based adaptive event-triggered control for spacecraft attitude tracking. IEEE Trans Neural Netw Learn Syst, 2020, 31: 4015–4024

    Article  MathSciNet  Google Scholar 

  25. Wang A, Mu B, Shi Y. Consensus control for a multi-agent system with integral-type event-triggering condition and asynchronous periodic detection. IEEE Trans Ind Electron, 2017, 64: 5629–5639

    Article  Google Scholar 

  26. Mousavi S H, Ghodrat M, Marquez H J. Integral-based event-triggered control scheme for a general class of non-linear systems. IET Control Theor Appl, 2015, 9: 1982–1988

    Article  MathSciNet  Google Scholar 

  27. Hao Y, Fei H. Integral-based event-triggered control for linear systems with transmission delays. In: Proceedings of the Control Conference. Chengdu, 2016

  28. Sun Q, Chen J, Shi Y. Integral-type event-triggered model predictive control of nonlinear systems with additive disturbance. IEEE Trans Cybern, 2021, 51: 5921–5929

    Article  Google Scholar 

  29. Li C, Zou H, Shi D, et al. Proportional-integral-type event-triggered coupled attitude and orbit tracking control using dual quaternions. IEEE Trans Aerosp Electron Syst, 2022, 58: 3021–3036

    Article  Google Scholar 

  30. Song J, Shi D, Shi Y, et al. Proportional-integral event-triggered control of networked systems with unmatched uncertainties. IEEE Trans Ind Electron, 2022, 69: 9320–9330

    Article  Google Scholar 

  31. Cui H T, Cheng X J. Anti-unwinding attitude maneuver control of spacecraft considering bounded disturbance and input saturation. Sci China Tech Sci, 2012, 55: 2518–2529

    Article  Google Scholar 

  32. Gao S, Liu X, Jing Y, et al. Finite-time prescribed performance control for spacecraft attitude tracking. IEEE ASME Trans Mechatron, 2022, 27: 3087–3098

    Article  Google Scholar 

  33. Sun T, Sun X M, Zhao X, et al. Attitude control of rigid bodies: An energy-optimal geometric switching control approach. IEEE ASME Trans Mechatron, 2022, 27: 1162–1173

    Article  Google Scholar 

  34. Tong X, Chen M, Yang F. Robust hybrid attitude and gyro-bias observer on quaternions. IEEE Trans Ind Electron, 2022, 69: 8545–8553

    Article  Google Scholar 

  35. Gui H, Vukovich G. Dual-quaternion-based adaptive motion tracking of spacecraft with reduced control effort. Nonlinear Dyn, 2016, 83: 597–614

    Article  MathSciNet  MATH  Google Scholar 

  36. Filipe N, Tsiotras P. Simultaneous position and attitude control without linear and angular velocity feedback using dual quaternions. In: Proceedings of the 2013 American Control Conference. Washington D C, 2013. 4808–4813

  37. Wu J, Liu K, Gao Y, et al. Coordinated control of relative position and attitude for spacecraft with actuator saturation. In: Proceedings of the 2012 IEEE International Conference on Mechatronics and Automation. 2012. 2477–2481

  38. Filipe N, Tsiotras P. Adaptive position and attitude-tracking controller for satellite proximity operations using dual quaternions. J Guidance Control Dyn, 2015, 38: 566–577

    Article  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  40. Guo B Z, Zhao Z. On the convergence of an extended state observer for nonlinear systems with uncertainty. Syst Control Lett, 2011, 60: 420–430

    Article  MathSciNet  MATH  Google Scholar 

  41. Huang Y, Wang J, Shi D, et al. Event-triggered sampled-data control: An active disturbance rejection approach. IEEE ASME Trans Mechatron, 2019, 24: 2052–2063

    Article  Google Scholar 

  42. Khalil H K. Nonlinear systems. Upper Saddle River: Prentice Hall. 2002

    MATH  Google Scholar 

  43. Dong H, Hu Q, Akella M R, et al. Partial Lyapunov strictification: Dual-quaternion-based observer for 6-DOF Tracking control. IEEE Trans Contr Syst Technol, 2019, 27: 2453–2469

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to DaWei Shi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, C., Zou, H., Shi, D. et al. Dual-quaternion-based satellite pose estimation and control with event-triggered data transmission. Sci. China Technol. Sci. 66, 1214–1224 (2023). https://doi.org/10.1007/s11431-022-2291-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11431-022-2291-0

Keywords

Navigation