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Leader–Follower Tracking in Nonlinear Multi-agent Systems via Different Velocity and Position Graph Topologies with External Disturbance

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Abstract

This paper proposes a novel distributed control algorithm for leader–follower tracking in nonlinear multi-agent systems via different velocity and position undirected graph topologies with external disturbance. Assuming that the disturbance is produced by linear exogenous systems, a disturbance observer without the position information based only on the velocity information of the agents is proposed. Next, graph theory, the Lyapunov approach and LaSalle’s principle are used to design a distributed control protocol for leader–follower tracking of MASs under different position and velocity undirected graphs with external disturbance. Finally, numerical simulations illustrate the efficacy of the proposed algorithms.

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Data Availability

The data used to support the findings of this study are available from the corresponding author upon request.

References

  • Cheng S, Jing L (2022) New conditions for consensus of second-order multi-agent systems. Iran J Sci Technol Trans Electr Eng 46(2):603–608

    Google Scholar 

  • Cong Y, Du H, Liu B, Zhang P, Li X (2023) Distributed constrained finite-time consensus algorithm for second-order multi-agent systems. Inf Sci 626(1):773–786

    Google Scholar 

  • Ding C, Li J, Jinsha L (2017) Distributed optimal consensus for multi-agent systems under independent position and velocity topology. J Dyn Syst Meas Control 139(10):1–8

    Google Scholar 

  • Du H, Wen G, Wu D, Cheng Y, Lu J (2020) Distributed fixed-time consensus for nonlinear heterogeneous multi-agent systems. Automatica 113(113):1–13

    MathSciNet  MATH  Google Scholar 

  • Eddy Y, Gooi H, Chen S (2015) Multi-agent system for distributed management of microgrids. IEEE Trans Power Syst 30(1):24–34

    Google Scholar 

  • Goldin D, Raisch J (2014) Consensus for agents with double integrator dynamics in heterogeneous networks. Asian J Control 16(1):30–39

    MathSciNet  MATH  Google Scholar 

  • Hamidi H (2018) An approach to intelligent traffic management system using a multi-agent system. Int J Intell Transp Syst Res 16(4):112–124

    MathSciNet  Google Scholar 

  • Hardy Y, Steeb W (2019) Matrix calculus, Kronecker product and tensor product: a practical approach to linear algebra, multilinear algebra and tensor calculus with software implementations, 3rd edn. World Scientific Publishing Company, Singapore

    MATH  Google Scholar 

  • He S, Liu X, Lu P, Liu H, Du C (2022) Leader-follower finite-time consensus of multiagent systems with nonlinear dynamics by intermittent protocol. J Frankl Inst 359(6):2646–2662

    MathSciNet  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  • Hu J, Feng G (2010) Distributed tracking control of leader-follower multi-agent systems under noisy measurement. Automatica 46(8):1382–1387

    MathSciNet  MATH  Google Scholar 

  • Jenabzadeh A, Safarinejadian B (2019) Distributed tracking of nonholonomic targets over multi-agent systems. IEEE Syst J 13(2):1678–1681

    MATH  Google Scholar 

  • Khodabandeh S, Kharrati H, Hashemzadeh F (2021) Control for leader-follower consensus of multi-agent systems with actuator faults using decentralized robust fault-tolerant control. Iran J Sci Technol Trans Electr Eng 45(2):529–541

    Google Scholar 

  • Liu C, Tian Y (2009) Formation control of multi-agent systems with heterogeneous communication delays. Int J Syst Sci 40(6):627–636

    MathSciNet  MATH  Google Scholar 

  • Liu C, Shi Y, Meng Y, Wang Y (2023) Leader-following consensus of multi-agent systems with connectivity-mixed attacks and actuator/sensor faults. J Frankl Inst 360(5):3592–3617

    MathSciNet  MATH  Google Scholar 

  • Liu L, Luo C, Shen F (2017) Multi-agent formation control with target tracking and navigation. In: Proceedings of the 2017 IEEE international conference on information and automation (ICIA), Macao, China, pp 98–103

  • Lu MA, Wu J, Zhan X, Han, Yan H (2022) Consensus of second-order heterogeneous multi-agent systems with and without input saturation. ISA Trans 126(1):14–20

    Google Scholar 

  • Luo X, Li X, Li S, Jiang Z, Guan X (2017) Flocking for multi-agent systems with optimally rigid topology based on information weighted Kalman consensus filter. Int J Control Autom Syst 15(1):138–148

    Google Scholar 

  • Luo Z, Sun Z, Peng J, Ma F (2021) Distributed control of multi-agent systems via static feedback controllers under directed networks. Trans Inst Meas Control 43(2):464–472

    Google Scholar 

  • Marina H, Jayawardhana B, Cao M (2016) Distributed rotational and translational maneuvering of rigid formations and their applications. IEEE Trans Robot 32(3):684–697

    Google Scholar 

  • Mei J, Ren W, Ma G (2011) Distributed coordinated tracking with a dynamic leader for multiple Euler-Lagrange systems. IEEE Trans Autom Control 56(6):1415–1421

    MathSciNet  MATH  Google Scholar 

  • Misir O, Gokrem L (2021) Flocking-based self-organized aggregation behavior method for swarm robotics. Iran J Sci Technol Trans Electr Eng 45(4):1427–1444

    Google Scholar 

  • Moradi M, Safarinejadian B, Shafiei M (2020) Distributed sliding mode leader-following consensus controller for uncertain time-delay linear parameter-varying multi-agent systems. J Vib Control 27(17):2136–2151

    Google Scholar 

  • Morbidi F, Mariottini G (2013) Active target tracking and cooperative localization for teams of aerial vehicles. IEEE Trans Control Syst Technol 21(5):1694–1707

    Google Scholar 

  • Nazarzehi V, Savkin A (2019) Decentralized three-dimensional formation building algorithms for a team of nonholonomic mobile agents. Int J Control Autom Syst 17(1):1–10

    Google Scholar 

  • Olfati-Saber R (2006) Flocking for multi-agent dynamic systems: algorithms and theory. IEEE Trans Autom Control 51(3):401–420

    MathSciNet  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  • Omidi E, Mahmoodi N (2016) Active vibration control of structures using a leader–follower-based consensus design. J Vib Control 24(1):60–72

    MathSciNet  MATH  Google Scholar 

  • Qiaoping Li Yu, Chen KL (2023) Predefined-time formation control of the quadrotor-UAV cluster’ position system. Appl Math Model 116(1):45–64

    MathSciNet  MATH  Google Scholar 

  • Qin J, Yu C (2013) Coordination of multi-agent interacting under independent position and velocity topologies. IEEE Trans Neural Netw Learn Syst 24(10):1588–1597

    Google Scholar 

  • 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(6):4972–4983

    Google Scholar 

  • Rahimi N, Binazadeh T (2018) Distributed robust consensus control for nonlinear leader–follower multi-agent systems based on adaptive observer-based sliding mode. J Vib Control 25(1):109–121

    MathSciNet  Google Scholar 

  • Rezaee H, Abdollahi F (2014) A decentralized cooperative control scheme with obstacle avoidance for a team of mobile robots. IEEE Trans Ind Electron 61(1):347–354

    Google Scholar 

  • Sun F, Wang R, Zhu W, Li Y (2019) Flocking in nonlinear multi-agent systems with time-varying delay via event-triggered control. Appl Math Comput 350(6):66–77

    MathSciNet  MATH  Google Scholar 

  • Tahoun A, Arafa M (2022) Adaptive leader–follower control for nonlinear uncertain multi-agent systems with an uncertain leader and unknown tracking paths. ISA Trans 131(3):61–72

    Google Scholar 

  • Tanner H, Jadbabaie A, Pappas G (2007) Flocking in fixed and switching networks. IEEE Trans Autom Control 52(5):863–868

    MathSciNet  MATH  Google Scholar 

  • Tian B, Zuo Z, Wang H (2016) Leader-follower fixed-time consensus of multi-agent systems with high-order integrator dynamics. Int J Control 90(7):1420–1427

    MathSciNet  MATH  Google Scholar 

  • Wang M, Zhang T (2021) Leader-following formation control of second-order nonlinear systems with time-varying communication delay. Int J Control Autom Syst 19(5):1729–1739

    MathSciNet  Google Scholar 

  • Wang Y, Liu Y, Li X, Liang Y (2023) Distributed consensus tracking control based on state and disturbance observations for mixed-order multi-agent mechanical systems. J Frankl Inst 360(2):943–963

    MathSciNet  MATH  Google Scholar 

  • Wang J, Zhang L, Li J (2016) Iterative learning consensus control for multi-agent systems under independent position and velocity topologies. In: 2016 Chinese control and decision conference (CCDC), Yinchuan, China, pp 6609–6614

  • Wen G, Duan Z, Chen G et al (2014) Consensus tracking of multi-agent systems with Lipschitz-type node dynamics and switching topologies. IEEE Trans Circuits Syst I Regul Pap 61(2):499–511

    MathSciNet  MATH  Google Scholar 

  • Yan C, Fang H (2019) Observer-based distributed leader-follower tracking control: a new perspective and results. Int J Control 94(1):39–48

    MathSciNet  MATH  Google Scholar 

  • Yan Z, Yue L, Zhou J, Pan X, Zhang C (2023) Formation coordination control of leaderless multi-AUV system with double independent communication topology and nonconvex control input constraints. J Mar Sci Eng 11(1):1–22

    Google Scholar 

  • Yao D, Li H, Lu R, Shi Y (2020) Distributed sliding-mode tracking control of second-order nonlinear multi-agent systems: an event-triggered approach. IEEE Trans Cybern 50(9):3892–3902

    Google Scholar 

  • Zamanian M, Abollahi F, Nikravesh SK (2020) Finite-time consensus of heterogeneous unknown nonlinear multi-agent systems with external disturbances via event-triggered control. J Vib Control 27(15):1806–1823

    MathSciNet  Google Scholar 

  • Zhang X, Xianping L (2013) Further results on consensus of second-order multi-agent systems with exogenous disturbance. IEEE Trans Circuits Syst 60(12):3215–3226

    MathSciNet  MATH  Google Scholar 

  • Zhao J, Liu G (2018) Time-variant consensus tracking control for networked planar multi-agent systems with non-holonomic constraints. J Syst Sci Complex 31(2):396–418

    MathSciNet  MATH  Google Scholar 

  • Zhao Y, Duan Z, Wen G, Zhang Y (2013) Distributed finite-time tracking control for multi-agent systems: an observer-based approach. Syst Control Lett 62(1):22–28

    MathSciNet  MATH  Google Scholar 

  • Zhao X, Liu W, Yang C (2019) Coordination control for a class of multi-agent systems under asynchronous switching. J Syst Sci Complex 32(4):1019–1038

    MathSciNet  MATH  Google Scholar 

  • Zheng Y, Ma J, Wang L (2017) Consensus of Hybrid multi-agent systems. IEEE Trans Neural Netw Learn Syst 29(4):1359–1365

    Google Scholar 

Download references

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Correspondence to Behrouz Safarinejadian.

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Ghasemzadeh, S.V., Safarinejadian, B. Leader–Follower Tracking in Nonlinear Multi-agent Systems via Different Velocity and Position Graph Topologies with External Disturbance. Iran J Sci Technol Trans Electr Eng 47, 1525–1536 (2023). https://doi.org/10.1007/s40998-023-00632-7

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  • DOI: https://doi.org/10.1007/s40998-023-00632-7

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