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Prescribed-Time Time-Varying Formation Control for Multiple USVs

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Proceedings of 2021 5th Chinese Conference on Swarm Intelligence and Cooperative Control

Abstract

This article concerns the prescribed-time time-varying formation (TVF) problem concerning multiple unmanned surface vessels (USVs) based on a leader-follower formation control scheme. Firstly, under a feasibility condition depicted by a TVF function and its derivative, a distributed control protocol is implemented. Secondly, a prescribed-time disturbance observer (PTDO) is devised to estimate and compensate the external time-varying disturbances subjected to USVs, which effectively overcomes the unknown dynamics and further enhances the robustness of the distributed controllers. Then, distributed controllers are constructed to stabilize the formation error system based on the prescribed time control theory. The formation errors can still converge to zero within the prescribed time as well as meet the requirements of the predefined TVF in the company of environmental disturbances. Finally, the effectiveness of our theoretical analysis is demonstrated via the simulation results.

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References

  1. Liao, F., et al.: Distributed formation and reconfiguration control of VTOL UAVs. IEEE Trans. Control Syst. Technol. 25(1), 1–8 (2017)

    Article  Google Scholar 

  2. Fu, J., et al.: Distributed formation navigation of constrained second-order multi-agent systems with collision avoidance and connectivity maintenance. IEEE Trans. Cybern. (2020). https://doi.org/10.1109/TCYB.2020.3000264

    Article  Google Scholar 

  3. Cui, R., et al.: Leader-follower formation control of underactuated autonomous underwater vehicles. Ocean Eng. 37(16), 1491–1502 (2010)

    Article  Google Scholar 

  4. Dong, X., et al.: Time-varying formation control for unmanned aerial vehicles: theories and applications. IEEE Trans. Control Syst. Technol. 23(1), 340–348 (2014)

    Article  Google Scholar 

  5. Wang, R., et al.: Distributed adaptive time-varying formation for multi-agent systems with general high-order linear time-invariant dynamics. J. Franklin Inst. 353(10), 2290–2304 (2016)

    Article  MathSciNet  Google Scholar 

  6. Li, L., Dong, K., Guo, G.: Trajectory tracking control of underactuated surface vessel with full state constraints. Asian J. Control 23(4), 1762–1770 (2021)

    Article  Google Scholar 

  7. Polyakov, A.: Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Trans. Autom. Control 57(8), 2106–2110 (2012)

    Article  MathSciNet  Google Scholar 

  8. Fu, M., Wang, T., Wang, C.: Fixed-time trajectory tracking control of a full state constrained marine surface vehicle with model uncertainties and external disturbances. Int. J. Control Autom. Syst. 17(6), 1331–1345 (2019). https://doi.org/10.1007/s12555-018-0741-2

    Article  Google Scholar 

  9. Dai, S., He, S., Ma, Y., Yuan, C.: Cooperative learning-based formation control of autonomous marine surface vessels with prescribed performance. IEEE Tran. Syst. Man Cybern.: Syst. (2021). https://doi.org/10.1109/TSMC.2021.3051335

  10. Fossen, T.I.: Guidance and Control of Ocean Vehicles. John Wiley & Sons, New York (1998)

    Google Scholar 

  11. Yang, Y., et al.: Distributed finite-time integral sliding-mode control for multi-agent systems with multiple disturbances based on nonlinear disturbance observers. J. Syst. Sci. Complex. 34(9), 995–1013 (2021)

    Article  MathSciNet  Google Scholar 

  12. Wang, Z., et al.: Adaptive fault-tolerant prescribed-time control for teleoperation systems with position error constraints. IEEE Trans. Industr. Inf. 16(7), 4889–4899 (2020)

    Article  Google Scholar 

  13. Saboori, I., Khorasani, K.: H∞ consensus achievement of multi-agent systems with directed and switching topology networks. IEEE Trans. Autom. Control 59(11), 3104–3109 (2014)

    Article  MathSciNet  Google Scholar 

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Funding

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This work was supported by the National Natural Science Foundation of China under Grants 51939001 and 61976033, the Liaoning Revitalization Talents Program under Grant XLYC1908018.

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Correspondence to Lili Li .

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Rong, D., Li, L., Tong, M. (2023). Prescribed-Time Time-Varying Formation Control for Multiple USVs. In: Ren, Z., Wang, M., Hua, Y. (eds) Proceedings of 2021 5th Chinese Conference on Swarm Intelligence and Cooperative Control. Lecture Notes in Electrical Engineering, vol 934. Springer, Singapore. https://doi.org/10.1007/978-981-19-3998-3_10

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  • DOI: https://doi.org/10.1007/978-981-19-3998-3_10

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-3997-6

  • Online ISBN: 978-981-19-3998-3

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