Skip to main content

Consensus of Multi-agent Systems with State Constraints

  • Conference paper
  • First Online:
Book cover Cloud Computing and Security (ICCCS 2017)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 10602))

Included in the following conference series:

  • 1789 Accesses

Abstract

This paper is devoted to the consensus problem of single-integrator agents with state constraints. The state of agents under consideration is subject to saturation nonlinearities. Some necessary and sufficient conditions of consensus with state constraints are first proposed based on investigating the unique achievable equilibrium and employing an integral Lyapunov function. With the proposed necessary and sufficient condition, the consensus problem of single-integrator agents can be solved under an undirected and connected graph. In addition, some properties of the unachievable consensus are discussed. Finally, simulation examples are given to show the validity of the theoretical results.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

References

  1. Chen, Z., Zhang, H.: Analysis of joint connectivity condition for multiagents with boundary constraints. IEEE Trans. Cybern. 43(2), 437–444 (2013)

    Article  Google Scholar 

  2. Dong, X., Shi, Z., Lu, G., Zhong, Y.: Formation-containment analysis and design for high-order linear time-invariant swarm systems. Int. J. Robust Nonlinear Control 25(17), 3439–3456 (2015)

    Article  MATH  MathSciNet  Google Scholar 

  3. Dong, X., Zhou, Y., Ren, Z., Zhong, Y.: Time-varying formation control for unmanned aerial vehicles with switching interaction topologies. Control Eng. Pract. 46, 26–36 (2016)

    Article  Google Scholar 

  4. Hendrickx, J., Tsitsiklis, J.: Convergence of type-symmetric and cut-balanced consensus seeking systems. IEEE Trans. Autom. Control 58(1), 214–218 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  5. Hong, Y., Hu, J., Gao, L.: Tracking control for multi-agent consensus with an active leader and variable topology. Automatica 42(7), 1177–1182 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  6. Li, Y., Xiang, J., Wei, W.: Consensus problems for linear time-invariant multi-agent systems with saturation constraints. IET Control Theory Appl. 5(6), 823–829 (2011)

    Article  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  8. Li, Z., Zhao, Y., Duan, Z.: Distributed robust consensus of a class of lipschitz nonlinear multi-agent systems with matching uncertainties. Asian J. Control 17(1), 3–13 (2015)

    Article  MATH  MathSciNet  Google Scholar 

  9. Lim, Y.: Consensus of multi-agent systems with saturation constraints. Ph.D. thesis, Gwangju Institute of Science and Technology (2016)

    Google Scholar 

  10. Liu, X., Chen, T., Lu, W.: Consensus problem in directed networks of multi-agents via nonlinear protocols. Physica-A 373(35), 3122–3127 (2009)

    MATH  MathSciNet  Google Scholar 

  11. Liu, Y., Jia, Y.: Adaptive consensus protocol for networks of multiple agents with nonlinear dynamics using neural networks. Asian J. Control 14(5), 1328–1339 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  12. Liu, Z., Chen, Z.: Discarded consensus of network of agents with state constraint. IEEE Trans. Autom. Control 57(11), 2869–2874 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  13. Olfati-Saber, R., Murray, R.: Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Autom. Control 49(9), 1520–1533 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  14. Qiu, J., Feng, G., Gao, H.: Fuzzy-model-based piecewise static-output-feedback controller design for networked nonlinear systems. IEEE Trans. Fuzzy Syst. 18(5), 919–934 (2010)

    Article  Google Scholar 

  15. Qiu, J., Feng, G., Gao, H.: Observer-based piecewise affine output feedback controller synthesis of continuous-time t-s fuzzy affine dynamic systems using quantized measurements. IEEE Trans. Fuzzy Syst. 20(6), 1046–1062 (2012)

    Article  Google Scholar 

  16. Su, H., Chen, M., Lam, J., Lin, Z.: Semi-global leader-following consensus of linear multi-agent systems with input saturation via low gain feedback. IEEE Trans. Circuits Syst. (I) 60(7), 1881–1889 (2013)

    Article  MathSciNet  Google Scholar 

  17. Sun, W., Li, Y., Li, C., Chen, Y.: Convergence speed of a fractional order consensus algorithm over undirected scale-free networks. Asian J. Control 13(6), 936–946 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  18. Wang, J., Cheng, D., Hu, X.: Consensus of multi-agent linear dynamic systems. Asian J. Control 10(2), 144–155 (2008)

    Article  MathSciNet  Google Scholar 

  19. Wang, Q., Sun, C.: Conditions for consensus in directed networks of agents with heterogeneous output saturation. IET Control Theory Appl. 10(16), 2119–2127 (2016)

    Article  MathSciNet  Google Scholar 

  20. Wang, Q., Yu, C., Gao, H.: Semiglobal synchronization of multiple generic linear agents with input saturation. Int. J. Robust Nonlinear Control 24(18), 3239–3254 (2014)

    Article  MATH  MathSciNet  Google Scholar 

  21. Wang, Y., Wu, Q.: Distributed robust H\(_{\infty }\) consensus for multi-agent systems with nonlinear dynamics and parameter uncertainties. Asian J. Control 17(1), 352–361 (2015)

    Article  MATH  MathSciNet  Google Scholar 

  22. Wen, G., Duan, Z., Yu, W., Chen, G.: Consensus in multi-agent systems with communication constraints. Int. J. Robust Nonlinear Control 22(2), 170–182 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  23. Yang, T., Meng, Z., Dimarogonas, D., Johansson, K.: Global consensus for discrete-time multi-agent systems with input saturation constraints. Automatica 50(2), 499–506 (2014)

    Article  MATH  MathSciNet  Google Scholar 

  24. Ye, Z., Chen, Y., Zhang, H.: Distributed consensus of delayed multi-agent systems with nonlinear dynamics via intermittent control. Asian J. Control 18(3), 964–975 (2015). doi:10.1002/asjc1172

    Article  MATH  MathSciNet  Google Scholar 

  25. Zhao, Z., Lin, Z.: Semi-global leader-following consensus of multiple linear systems with position and rate limited actuators. Int. J. Robust Nonlinear Control 25(13), 2083–2100 (2015)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Acknowledgements

This work was partially supported by the National Natural Science Foundation of China (61503079), the Jiangsu Natural Science Foundation (BK20150625), the Fundamental Research Funds for the Central Universities, and a project funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Qingling Wang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Wang, Q. (2017). Consensus of Multi-agent Systems with State Constraints. In: Sun, X., Chao, HC., You, X., Bertino, E. (eds) Cloud Computing and Security. ICCCS 2017. Lecture Notes in Computer Science(), vol 10602. Springer, Cham. https://doi.org/10.1007/978-3-319-68505-2_48

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-68505-2_48

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-68504-5

  • Online ISBN: 978-3-319-68505-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics