Skip to main content
Log in

Close formation flight of swarm unmanned aerial vehicles via metric-distance brain storm optimization

  • Regular Research Paper
  • Published:
Memetic Computing Aims and scope Submit manuscript

Abstract

Close formation flight of swarm unmanned aerial vehicles (UAVs) has drawn much attention from scholars due to its significant importance in many aspects. In this paper, we focus on an advanced controller design for swarm UAV close formation based on a novel bio-inspired algorithm, i.e., metric-distance brain storm optimization (MDBSO). The proposed method utilizes the brain storm optimization (BSO) which has been extensively adopted in complicated systems with great performances and modifies its basic operators to formulate the formation flight controller design. The original clustering operator in BSO is replaced by a fresh clustering method based on metric distances, while the individual updating operator utilizes Lévy distribution to extend search steps to fit into the metric searching regions. Then the proposed algorithm is applied to optimize the benchmark controller in swarm UAV close formation to enhance the tracking performances under complicated circumstances. Simulation results demonstrate that our approach is more superior in stable configuration of swarm UAV close formations by comparing with several generic methods.

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.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. Karimoddini A, Hai L, Chen BM, Lee TH (2013) A bumpless hybrid supervisory control algorithm for the formation of unmanned helicopters. Mechatronics 23(6):677–688

    Article  Google Scholar 

  2. Weimerskirch H, Martin J, Clerquin Y et al (2001) Energy saving in flight formation. Nature 413(6857):697–698

    Article  Google Scholar 

  3. Ray R, Cobleigh B, Vachon MJ, John CS (2002) Flight test techniques used to evaluate performance benefits during formation flight. In: AIAA atmospheric flight mechanics conference and exhibit, Monterey, California, 5–8 August, https://doi.org/10.2514/6.2002-4492

  4. Proud AW, Pachter M, D’Azzo JJ (1999) Close formation flight control. In: AIAA guidance, navigation, and control conference and exhibit, Portland, 9-11 August, pp 1231–1246

  5. Wagner MG, Jacques LD, Blake W, Pachter M (2002) Flight test results of close formation flight for fuel savings. In: AIAA atmospheric flight mechanics conference and exhibit, Monterey, California, 5–8 August, https://doi.org/10.2514/6.2002-4490

  6. Zhang Q, Liu Hugh HT (2016) Robust design of close formation flight control via uncertainty and disturbance estimator. In: AIAA guidance, navigation, and control conference, San Diego, California, 4–8 January, https://doi.org/10.2514/6.2016-2102

  7. Johnson Y, Dasgupta S (2014) Robust controller design and performance of forward-velocity dynamics of UAVs in close formation flight. In: IEEE international conference on advances in green energy, Trivandrum, Kerala, India, 17–18 December, pp 124–131

  8. Palacios L, Ceriotti M, Radice G (2015) Close proximity formation flying via linear quadratic tracking controller and artificial potential function. Adv Space Res 56(10):2167–2176

    Article  Google Scholar 

  9. Lalwani S, Kumar R, Gupta N (2015) A novel two-level particle swarm optimization approach for efficient multiple sequence alignment. Memet Comput 7(2):119–133

    Article  Google Scholar 

  10. Xin L, Xian N (2017) Biological object recognition approach using space variant resolution and pigeon-inspired optimization for UAV. Sci China Technol Sci 60(10):1577–1584

    Article  Google Scholar 

  11. Pei J, Su Y, Zhang D (2017) Fuzzy energy management strategy for parallel HEV based on pigeon-inspired optimization algorithm. Sci China Technol Sci 60(3):425–433

    Article  Google Scholar 

  12. Dou R, Duan H (2017) Lévy flight based pigeon-inspired optimization for control parameters optimization in automatic carrier landing system. Aerosp Sci Technol 61:11–20

    Article  Google Scholar 

  13. Mininno E, Neri F (2010) A memetic differential evolution approach in noisy optimization. Memet Comput 2:111–135

    Article  Google Scholar 

  14. Shi Y (2011) Brain storm optimization algorithm. In: International conference on swarm intelligence, Chongqing, China, 12–15 June, pp 303–309

    Google Scholar 

  15. Zhou Z, Duan H, Shi Y (2016) Convergence analysis of brain storm optimization algorithm. In: IEEE congress on evolutionary computation, Vancouver, Canada, 24–29 July, pp 3747–3752

  16. Zhan Z, Chen W, Lin Y et al. (2013) Parameter investigation in brain storm optimization, In: IEEE symposium on swarm intelligence, Singapore, 16–19 April, pp 103–110

  17. Cheng S, Shi Y, Qin Q et al. (2014) Maintaining population diversity in brain storm optimization algorithm, In: IEEE congress on evolutionary computation, Beijing, China, 6–11 July, pp 3230–3237

  18. Qiu H, Duan H (2014) Receding horizon control for multiple UAV formation flight based on modified brain storm optimization. Nonlinear Dyn 78(3):1973–1988

    Article  Google Scholar 

  19. Sun C, Duan H, Shi Y (2013) Optimal satellite formation reconfiguration based on closed-loop brain storm optimization. IEEE Comput Intell Mag 8(4):39–51

    Article  Google Scholar 

  20. Cheng S, Qin Q, Chen J, Shi Y (2016) Brain storm optimization algorithm: a review. Artif Intell Rev 46:445–458

    Article  Google Scholar 

  21. Cheng S, Shi S, Qin Q, Gao S (2013) Solution clustering analysis in brain storm optimization algorithm. In: IEEE symposium on swarm intelligence, Singapore, 16–19 April, pp 111–118

  22. Ballerini M, Cabibbo N, Candelier R et al (2008) Interaction ruling animal collective behavior depends on topological rather than metric distance: evidence from a field study. Proc Natl Acad Sci USA 105(4):1232–1237

    Article  Google Scholar 

  23. Niizato T, Gunji Y (2011) Metric-topological interaction model of collective behavior. Ecol Model 222:3041–3049

    Article  Google Scholar 

  24. Sakamoto Y, Takahashi T (2014) Metric and topological neighborhoods in flocking models. In: International conference on bioinspired information and communications technologies, Boston, 1–3 December, pp 118–121

  25. Niizato T, Murakami H, Gunji Y (2014) Emergence of the scale-invariant proportion in a flock from the metric-topological interaction. Biosystems 119:62–68

    Article  Google Scholar 

  26. Shang Y, Bouffanais R (2014) Consensus reaching in swarms ruled by a hybrid metric-topological distance. Eur Phys J B 87(12):294

    Article  MathSciNet  Google Scholar 

  27. Eliazar I (2014) A geometric theory for Levy distributions. Ann Phys 347:261–286

    Article  Google Scholar 

Download references

Acknowledgements

This work was partially supported by National Natural Science Foundation of China under Grants #61425008, #61333004 and #91648205, Aeronautical Foundation of China under Grant #2015ZA51013, and Shenzhen Science and Technology Innovation Committee under Grant # ZDSYS201703031748284.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Haibin Duan.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Duan, H., Zhang, D., Shi, Y. et al. Close formation flight of swarm unmanned aerial vehicles via metric-distance brain storm optimization. Memetic Comp. 10, 369–381 (2018). https://doi.org/10.1007/s12293-018-0251-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12293-018-0251-z

Keywords

Navigation