Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content

Optimal Leader-Following Tracking Control for Multiagent Systems: A Fully Distributed Approach

  • Conference paper
  • First Online:
Proceedings of 2023 7th Chinese Conference on Swarm Intelligence and Cooperative Control (CCSICC 2023)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 1203))

Included in the following conference series:

  • 287 Accesses

Abstract

In this paper, we are interested in optimal leader-following tracking control for multiagent systems (MASs). First, we model the MASs as dynamic process in which multiple followers track a leader, where a topology containing only one directed spanning tree is utilized to describe the interaction between agents. Second, we propose a global cost function and assume that each agent in the system devotes to minimizing it. Meanwhile, we design a fully distributed optimal tracking control protocol to simultaneously guarantee the consensus of MASs and the optimization of the energy cost function. Finally, the validity of the theoretical algorithm is demonstrated by a numerical example.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 329.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 379.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Ren W, Beard RW (2005) Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Trans Autom Control 50(5):655–661

    Article  MathSciNet  Google Scholar 

  2. Li Z, Duan Z, Chen G, Huang L (2010) Consensus of multiagent systems and synchronization of complex networks: a unified viewpoint. IEEE Trans Circuits Syst I: Regul Pap 57(1):213–224

    Article  MathSciNet  Google Scholar 

  3. Wang X (2021) Prospects for the future development of China’s space transportation system. Sci Technol Space 9769856

    Google Scholar 

  4. Wang Q, Jin D, Rui X (2021) Dynamic simulation of space debris cloud capture using the tethered net. Sci Technol Space 9810375

    Google Scholar 

  5. Zhang Z, Shi Y, Yan W (2021) A novel attitude-tracking control for spacecraft networks with input delays. IEEE Trans Control Syst Technol 29(3):1035–1047

    Article  Google Scholar 

  6. Zhao Y, Zhou Y, Zhong Z, Wu S, Wen G, Yu X (2022) Distributed optimal cooperation for multiple high-order nonlinear systems with lipschitz-type gradients: static and adaptive state-dependent designs. IEEE Trans Syst Man Cybernet Syst 52(9):5378–5388

    Article  Google Scholar 

  7. Koru AT, Sarsılmaz SB, Yucelen T, Johnson EN (2021) Cooperative output regulation of heterogeneous multiagent systems: a global distributed control synthesis approach. IEEE Trans Autom Control 66(9):4289–4296

    Article  MathSciNet  Google Scholar 

  8. Xu Y, Yao Z, Lu R, Ghosh BK (2022) A novel fixed-time protocol for first-order consensus tracking with disturbance rejection. IEEE Trans Autom Control 67(11):6180–6186

    Article  MathSciNet  Google Scholar 

  9. Liu J, Zhang Y, Yu Y, Liu H, Sun C (2022) A zeno-free self-triggered approach to practical fixed-time consensus tracking with input delay. IEEE Trans Syst Man Cybernet Syst 52(5):3126–3136

    Article  Google Scholar 

  10. Dong Y, Li Z (2022) An event-triggered observer and its applications in cooperative control of multiagent systems. IEEE Trans Autom Control 67(7):3647–3654

    Article  MathSciNet  Google Scholar 

  11. Xu C, Xu H, Guan Z, Ge Y (2023) Observer-based dynamic event-triggered semiglobal bipartite consensus of linear multi-agent systems with input saturation. IEEE Trans Cybernet 53(5):3139–3152

    Article  Google Scholar 

  12. Ma C, Liu T, Kang Y, Zhao Y (2023) Leader-following cluster consensus of multiagent systems with measurement noise and weighted Cooperative-Competitive Networks. IEEE Trans Syst Man Cybernet Syst 53(2):1150–1159

    Article  Google Scholar 

  13. Ali U, Cai H, Mostofi Y, Wardi Y (2019) Motion-communication co-optimization with cooperative load transfer in mobile robotics: an optimal control perspective. IEEE Trans Control Netw Syst 6(2):621–632

    Article  MathSciNet  Google Scholar 

  14. Kumar A, Jain T (2020) An alternative method for optimal consensus protocol design for scalar single-integrators using Krotov conditions. IFAC PapersOnLine 53(2):2981–2987

    Article  Google Scholar 

  15. Zhang H, Ren H, Mu Y, Han J (2022) Optimal consensus control design for multiagent systems with multiple time delay using adaptive dynamic programming. IEEE Trans Cybernet 52(12):12832–12842

    Article  Google Scholar 

  16. Ge G, Zhang R (2022) Lyapunov redesign-based optimal consensus control for multi-agent systems with uncertain dynamics. IEEE Trans Circuits Syst II: Exp Briefs 69(6):2902–2906

    Google Scholar 

  17. Liu T, Qin Z, Hong Y, Jiang Z (2022) Distributed optimization of nonlinear multiagent systems: a small-gain approach. IEEE Trans Autom Control 67(2):676–691

    Article  MathSciNet  Google Scholar 

  18. Li Y, Zhang J, Tong S (2022) Fuzzy adaptive optimized leader-following formation control for second-order stochastic multiagent systems. IEEE Trans Indust Inf 18(9):6026–6037

    Article  Google Scholar 

  19. Xie S, Nazari MH, Wang LY, Yin G, Zhang X (2023) Distributed optimal frequency control under communication packet loss in multi-agent electric energy systems. Automatica 154:111088

    Article  MathSciNet  Google Scholar 

  20. Wang X, Wang G, Li S (2020) Distributed finite-time optimization for integrator chain multiagent systems with disturbances. IEEE Trans Autom Control 65(12):5296–5311

    Article  MathSciNet  Google Scholar 

  21. Wang X, Wang X, Wang G, Li S (2021) Distributed finite-time optimization for disturbed second-order multiagent systems. IEEE Trans Cybernet 51(9):4634–4647

    Article  Google Scholar 

  22. Guo Z, Chen G (2023) Exponential convergence of distributed optimal coordination for nonlinear multiagent systems under directed graphs. IEEE Trans Control Netw Syst 10(1):182–193

    Article  MathSciNet  Google Scholar 

  23. Zhang H, Li Z, Qu Z, Lewis FL (2015) On constructing Lyapunov functions for multi-agent systems. Automatica 58:39–42

    Article  MathSciNet  Google Scholar 

  24. Zhang Z, Yan W, Li H (2021) Distributed optimal control for linear multiagent systems on general digraphs. IEEE Trans Autom Control 66(1):322–328

    Article  MathSciNet  Google Scholar 

  25. Hong H, Yu W, Wen G, Yu X (2017) Distributed robust fixed-Time consensus for nonlinear and disturbed multiagent systems. IEEE Trans Syst Man Cybernet Syst 47(7):1464–1473

    Article  Google Scholar 

  26. Wang M, Wang Z, Talbot J, Gerdes JC, Schwager M (2021) Game-theoretic planning for self-driving cars in multivehicle competitive scenarios. IEEE Trans Robot 37(4):1313–1325

    Article  Google Scholar 

  27. Singh SK, Reddy PV, Vundurthy B (2022) Study of multiple target defense differential games using receding horizon-based switching strategies. IEEE Trans Control Syst Technol 30(4):1403–1419

    Article  Google Scholar 

Download references

Acknowledgment

This work was supported in part by the National Natural Science Foundation of China (U22A2066, U1813225, U21B2047, 52271333, 62103182); China Postdoctoral Science Foundation (2021M692641); Key Research and Development Program of Shaanxi Province (2021GY-289, 2021GY-257); Faculty Building Project-Aoxiang Nova Zhuo Zhang (0603023GH0202235, 0603023SH0201235); Innovation Foundation for Doctor Dissertation of Northwestern Polytechnical University (CX2023007).

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Zhuo Zhang or Weisheng Yan .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2024 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Huang, G., Zhang, Z., Yan, W., Cui, R., Zhang, S. (2024). Optimal Leader-Following Tracking Control for Multiagent Systems: A Fully Distributed Approach. In: Hua, Y., Liu, Y., Han, L. (eds) Proceedings of 2023 7th Chinese Conference on Swarm Intelligence and Cooperative Control. CCSICC 2023. Lecture Notes in Electrical Engineering, vol 1203. Springer, Singapore. https://doi.org/10.1007/978-981-97-3324-8_9

Download citation

Publish with us

Policies and ethics