Skip to main content

Discrete Higher Order Sliding Mode Protocol for Leader-Following Consensus of Heterogeneous Discrete Multi-Agent System

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 604))

Abstract

In this paper,  we proposed higher order discrete sliding mode control protocol using discrete-time supertwisting algorithm for the consensus of leader-following discrete heterogeneous linear multi-agent system (DHLMAS). The DHLMAS is represented using fixed, directed interaction graph topology. The proposed consensus protocol has the ability to synchronize the heterogeneous follower agents with leader agent in a finite time steps. The 2-DOF flexible joint and the 2-DOF flexible link robotic arms are considered as the leader and follower agents respectively for the simulation and experimental study. Further, the robustness of proposed consensus protocol is assessed by giving the matched disturbance.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
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

Learn about institutional subscriptions

References

  1. Huang C, Feng C, CAO J, (2019) Consensus of cyber-physical power systems based on multi-agent systems with communication constraints. J Modern Power Syst Clean Energy. https://doi.org/10.1007/s40565-018-0491-4

    Article  Google Scholar 

  2. Chen S, Ho D (2016) Consensus control for multiple AUVs under imperfect information caused by communication faults. Inf Sci 370–371:565–577. https://doi.org/10.1016/j.ins.2016.04.037

    Article  Google Scholar 

  3. Zhonghe H, Yangzhou C, Jianjun S et al (2013) Consensus based approach to the signal control of Urban traffic networks. Procedia Soc Behav Sci 96:2511–2522. https://doi.org/10.1016/j.sbspro.2013.08.281

    Article  Google Scholar 

  4. Bhowmick C, Behera L, Shukla A, Karki H (2016) Flocking control of multi-agent system with leader-follower architecture using consensus based estimated flocking center. In: IECON 2016—42nd annual conference of the IEEE industrial electronics society. https://doi.org/10.1109/iecon.2016.7793149

  5. Liu W, Huang J (2017) Adaptive leader-following rendezvous and flocking for a class of uncertain second-order nonlinear multi-agent systems. Control Theory Technol 15:354–363. https://doi.org/10.1007/s11768-017-7083-0

    Article  MathSciNet  Google Scholar 

  6. Qin J, Ma Q, Shi Y, Wang L (2017) Recent advances in consensus of multi-agent systems: a brief survey. IEEE Trans Ind Electron 64:4972–4983. https://doi.org/10.1109/tie.2016.2636810

    Article  Google Scholar 

  7. Fan Y, Yang J (2016) Average consensus of multi-agent systems with self-triggered controllers. Neurocomputing 177:33–39. https://doi.org/10.1016/j.neucom.2015.10.117

    Article  Google Scholar 

  8. Liu K, Duan P, Duan Z et al (2018) Leader-following consensus of multi-agent systems with switching networks and event-triggered control. IEEE Trans Circ Syst I: Reg Papers 65:1696–1706. https://doi.org/10.1109/tcsi.2017.2762420

    Article  Google Scholar 

  9. Zhang D, Xu Z, Karimi H et al (2018) Distributed \(H_\infty \) output-feedback control for consensus of heterogeneous linear multiagent systems with aperiodic sampled-data communications. IEEE Trans Ind Electron 65:4145–4155. https://doi.org/10.1109/tie.2017.2772196

    Article  Google Scholar 

  10. Hua C, Li K, Guan X (2019) Leader-following output consensus for high-order nonlinear multiagent systems. IEEE Trans Autom Control 64:1156–1161. https://doi.org/10.1109/tac.2018.2836024

    Article  MathSciNet  MATH  Google Scholar 

  11. Wang D, Yu M (2016) Leader-following consensus for heterogeneous multi-agent systems with bounded communication delays. In: 14th international conference on control, automation, robotics and vision (ICARCV). https://doi.org/10.1109/icarcv.2016.7838628

  12. Zhao H, Fei S (2018) The consensus for discrete-time heterogeneous networked systems consisting of second-order agents and third-order agents. IEEE Access 6:14204–14211. https://doi.org/10.1109/access.2018.2804929

    Article  Google Scholar 

  13. Patel K, Mehta A (2018) Discrete-time sliding mode control for leader following discrete-time multi-agent system. In: IECON 2018-44th annual conference of the IEEE industrial electronics society. https://doi.org/10.1109/iecon.2018.8591273

  14. Varga R (2004) Gergorin and his circles. Springer Ser Comput Math. https://doi.org/10.1007/978-3-642-17798-9

    Article  Google Scholar 

  15. da Silva M, de Camargo R, Pinheiro J et al (2014) Discrete-time super-twisting sliding-mode control applied to a DSTATCOM-based voltage regulator for a self excited induction generator. In: IECON 2014-40th annual conference of the IEEE industrial electronics society. https://doi.org/10.1109/iecon.2014.7049145

  16. Ren C, Chen C (2015) Sliding mode leader-following consensus controllers for second-order non-linear multi-agent systems. IET Control Theory Appl 9:1544–1552. https://doi.org/10.1049/iet-cta.2014.0523

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Keyurkumar Patel .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Patel, K., Mehta, A. (2020). Discrete Higher Order Sliding Mode Protocol for Leader-Following Consensus of Heterogeneous Discrete Multi-Agent System. In: Mehta, A., Rawat, A., Chauhan, P. (eds) Advances in Control Systems and its Infrastructure. Lecture Notes in Electrical Engineering, vol 604. Springer, Singapore. https://doi.org/10.1007/978-981-15-0226-2_1

Download citation

Publish with us

Policies and ethics