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Group-consensus with Reference States for Heterogeneous Multiagent Systems via Pinning Control

  • Jun Huang
  • Guoguang WenEmail author
  • Zhaoxia Peng
  • Xing Chu
  • Youwei Dong
Article
  • 13 Downloads

Abstract

This paper considers group-consensus with reference states for heterogeneous multiagent systems, which is composed of first-order agents and second-order agents. The pinning scheme is induced for solving group-consensus under fixed and switching topologies, respectively. Firstly, a group-consensus control protocol via pining scheme under fixed topology is proposed. Then the corresponding sufficient conditions to guarantee groupconsensus are deduced by employing graph theory and Lyapunov stability approach. What’s more, based on pinning scheme, the agents in every group can reach their own group’s reference states. Secondly, the group-consensus for heterogeneous multiagent systems with switching topologies is studied, where an equivalent system of the original multiagent system is obtained by model transformation. Then, the corresponding sufficient conditions to guarantee group-consensus are obtained based on the corresponding graph theory and Lyapunov stability approach. The same as the case of fixed topology, the agents in every group can also reach their own group’s reference states by employing pinning control. Finally, some simulation examples are presented to illustrate the capabilities of the established theories.

Keywords

Group-consensus heterogeneous multiagent systems pinning control switching topologies 

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References

  1. [1]
    Z. Peng, G. Wen, S. Yang, and A. Rahmani, “Distributed consensus-based formation control for nonholonomic wheeled mobile robots using adaptive neural network,” Nonlinear Dynamics, vol. 86, no. 1, pp. 605–622, October 2016.MathSciNetzbMATHGoogle Scholar
  2. [2]
    W. Jiang, G. Wen, Z. Peng, T. Huang, and R. A. Rahmani, “Fully distributed formation-containment control of heterogeneous linear multi-agent systems,” IEEE Transactions on Automatic Control, 2018. DOI: 10.1109/TAC.2018.2887409Google Scholar
  3. [3]
    S. Cheng, L. Yu, D. Zhang, and J. Ji, “Consensus of multiple Euler-Lagrange systems using one Euler-Lagrange system’s velocity measurements,” International Journal of Control, Automation and Systems, vol. 15, no. 1, pp. 450–456, February 2017.Google Scholar
  4. [4]
    Y. Liu and Y. Jia, “Adaptive consensus control for multiple Euler-Lagrange systems with external disturbance,” International Journal of Control, Automation and Systems, vol. 15, no. 1, pp. 205–2111, February 2017.MathSciNetGoogle Scholar
  5. [5]
    W. Hu, G. Wen, A. Rahmania, and Y. Yu, “Distributed consensus tracking of unknown nonlinear chaotic delayed fractional-order multi-agent systems with external disturbances based on ABC algorithm,” Communications in Nonlinear Science and Numerical Simulation, vol. 71, no. 15, pp. 101–117, June 2019.MathSciNetGoogle Scholar
  6. [6]
    A. Hu, J. Cao, and M. Hu, “Consensus of leader-following multi-agent systems in time-varying networks via intermittent control,” International Journal of Control Automation & Systems, vol. 12, no. 5, pp. 969–976, October 2014.Google Scholar
  7. [7]
    G. Wen, Y. Yu, Z. Peng, and A. Rahmani, “Consensus tracking for second-order nonlinear multi-agent systems with switching topologies and a time-varying reference state,” International Journal of Control, vol. 89, no. 10, pp. 2096–2106, March 2016.MathSciNetzbMATHGoogle Scholar
  8. [8]
    Z. Peng, G.Wen, A. Rahmani, and Y. Yu, “Leader-follower formation control of nonholonomic mobile robots based on a bioinspired neurodynamic based approach,” Robotics & Autonomous Systems, vol. 61, no. 9, pp. 988–996, September 2013.Google Scholar
  9. [9]
    Y. Liu and Y. Jia, “Adaptive consensus control for multiple euler-lagrange systems with external disturbance,” International Journal of Control Automation & Systems, vol. 15, no. 1, pp. 1–7, February 2017.MathSciNetGoogle Scholar
  10. [10]
    J. Zhang, Q. Hu, and D. Wang, “Bounded finite-time attitude tracking control for rigid spacecraft via output feedback,” Aerospace Science & Technology, vol. 64, pp. 75–84, May 2017.Google Scholar
  11. [11]
    Z. G. Wu, Y. Xu, R. Lu, Y. Wu, and T. Huang, “Eventtriggered control for consensus of multiagent systems with fixed/switching topologies,” IEEE Transactions on Systems Man & Cybernetics Systems, vol. 48, no. 10, pp. 1736–1746, October 2018.Google Scholar
  12. [12]
    H. Li, P. Shi, D. Yao, and L. Wu, “Observer-based adaptive sliding mode control for nonlinear Markovian jump systems,” Automatica, vol. 64, pp. 133–142, February 2016.MathSciNetzbMATHGoogle Scholar
  13. [13]
    H. Li, P. Shi, and D. Yao, “Adaptive sliding-mode control of markov jump nonlinear systems with actuator faults,” IEEE Transactions on Automatic Control, vol. 62, no. 4, pp. 1933–1939, April 2017.MathSciNetzbMATHGoogle Scholar
  14. [14]
    H. Liu, L. Cheng, M. Tan, and Z. Hou, “Containment control of general linear multi-agent systems with multiple dynamic leaders: A fast sliding mode based approach,” IEEE/CAA Journal of Automatica Sinica, vol. 1, no. 2, pp. 134–140, April 2014.Google Scholar
  15. [15]
    X. Gong, Y. J. Pan, and A. Pawar, “A novel leader following consensus approach for multi-agent systems with data loss,” International Journal of Control Automation & Systems, vol. 15, no. 2, pp. 763–775, April 2017.Google Scholar
  16. [16]
    A. Mostefaout and M. Raynal, “Leader-based consensus,” Parallel Processing Letters, vol. 11, no. 01, pp. 95–107, March 2001.MathSciNetGoogle Scholar
  17. [17]
    G. Wen, H.-T. Zhang, W. Yu, Z. Zuo, and Y. Zhao, “Coordination tracking of multi-agent dynamical systems with general linear node dynamics,” International Journal of Robust and Nonlinear Control, vol. 27, no. 9, pp. 1526–1546, January 2017.MathSciNetzbMATHGoogle Scholar
  18. [18]
    X. Dong and G. Hu, “Time-varying formation tracking for linear multi-agent systems with multiple leaders,” IEEE Transactions on Automatic Control, vol. 62, no. 7, pp. 3658–3664, July 2017.MathSciNetzbMATHGoogle Scholar
  19. [19]
    J. L. Wang, H. N. Wu, T. Huang, S. Y. Ren, and J. Wu, “Passivity and output synchronization of complex dynamical networks with fixed and adaptive coupling strength,” IEEE Transactions on Neural Networks and Learning Systems, vol. 29, no. 2, pp. 364–376, February 2018.MathSciNetGoogle Scholar
  20. [20]
    G. Wen, M. Z. Q. Chen, and X. Yu, “Event-triggered master-slave synchronization with sampled-data communication,” IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 63, no. 3, pp. 304–308, March 2016.Google Scholar
  21. [21]
    G. Wen, Y. Zhao, Z. Duan, W. Yu, and G. Chen, “Containment of higher-order multi-leader multi-agent systems: A dynamic output approach,” IEEE Transactions on Automatic Control, vol. 61, no. 4, pp. 1135–1140, April 2016.MathSciNetzbMATHGoogle Scholar
  22. [22]
    T. Ma, L. Zhang, F. Zhao, Z. Gu, and Y. Xu, “Impulsive consensus of multi-agent nonlinear systems with control gain error,” Neurocomputing, vol. 171, no. 1, pp. 293–298, January 2016.Google Scholar
  23. [23]
    G.Wen, J. Huang, C.Wang, Z. Chen, and Z. Peng, “Group consensus control for heterogeneous multi-agent systems with fixed and switching topologies,” International Journal of Control, vol. 89, no. 2, pp. 259–269, Aug 2015.MathSciNetzbMATHGoogle Scholar
  24. [24]
    J. Zhu, “Stabilization and synchronization for a heterogeneous multi-agent system via harmonic control,” Systems & Control Letters, vol. 66, pp. 1–7, April 2014.MathSciNetzbMATHGoogle Scholar
  25. [25]
    Z. Chen and H.-T. Zhang, “A remark on collective circular motion of heterogeneous multi-agents,” Automatica, vol. 49, no. 5, pp. 1236–1241, May 2013.MathSciNetzbMATHGoogle Scholar
  26. [26]
    C.-L. Liu and F. Liu, “Stationary consensus of heterogeneous multi-agent systems with bounded communication delays,” Automatica, vol. 47, no. 9, pp. 2130–2133, September 2011.MathSciNetzbMATHGoogle Scholar
  27. [27]
    Y. Wei, J. Qiu, and H. R. Karimi, “Quantized H ¥ filtering for continuous-time Markovian jump systems with deficient mode information,” Asian Journal of Control, vol. 17, no. 5, pp. 1914–1923, September 2015.MathSciNetzbMATHGoogle Scholar
  28. [28]
    Y. Wei, J. Qiu, H. R. Karimi, and M. Wang, “Model approximation for two-dimensional markovian jump systems with state-delays and imperfect mode information,” Multidimensional Systems & Signal Processing, vol. 26, no. 3, pp. 575–597, July 2015.MathSciNetzbMATHGoogle Scholar
  29. [29]
    J. Yu and L. Wang, “Group consensus in multi-agent systems with switching topologies and communication delays,” Systems & Control Letters, vol. 59, no. 6, pp. 340–348, June 2010.MathSciNetzbMATHGoogle Scholar
  30. [30]
    J. Yu and L. Wang, “Group consensus of multi-agent systems with undirected communication graphs, Proc. of 7th Asian Control Conference, pp. 105–110, August 2009.Google Scholar
  31. [31]
    J. Qin and C. Yu, “Cluster consensus control of generic linear multi-agent systems under directed topology with acyclic partition,” Automatica, vol. 49, no. 9, pp. 2898–2905, September 2013.MathSciNetzbMATHGoogle Scholar
  32. [32]
    D. Xie, Q. Liu, L. Lv, and S. Li, “Necessary and sufficient condition for the group consensus of multi-agent systems,” Applied Mathematics and Computation, vol. 243, no. 15, pp. 870–878, September 2014.MathSciNetzbMATHGoogle Scholar
  33. [33]
    G. Wen, Y. Yu, Z. Peng, and H. Wang, “Dynamical group consensus of heterogenous multi-agent systems with input time delays,” Neurocomputing, vol. 175, Part A, no. 29, pp. 278–286, January 2016.Google Scholar
  34. [34]
    H. Hu, W. Yu, G. Wen, Q. Xuan, and J. Cao, “Reverse group consensus of multi-agent systems in the cooperationcompetition network,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 63, no. 11, pp. 2036–2047, November 2016.Google Scholar
  35. [35]
    T. Chen, X. Liu, and W. Lu, “Pinning complex networks by a single controller,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 54, no. 6, pp. 1317–1326, June 2007.MathSciNetzbMATHGoogle Scholar
  36. [36]
    J. Zhou, Q. Wu, and L. Xiang, “Pinning complex delayed dynamical networks by a single impulsive controller,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 58, no. 12, pp. 2882–2893, December 2011.MathSciNetGoogle Scholar
  37. [37]
    G. Chen, “Pinning control and synchronization on complex dynamical networks,” International Journal of Control Automation & Systems, vol. 12, no. 2, pp. 221–230, April 2014.Google Scholar
  38. [38]
    Q. Song, F. Liu, J. Cao, and W. Yu, “m-matrix strategies for pinning-controlled leader-following consensus in multiagent systems with nonlinear dynamics,” IEEE Transactions on Cybernetics, vol. 43, no. 6, pp. 1688–1697, December 2013.Google Scholar
  39. [39]
    Y. Wang, Z. Ma, S. Zheng, and G. Chen, “Pinning control of lag-consensus for second-order nonlinear multiagent systems,” IEEE Transactions on Cybernetics, vol. 47, no. 8, pp. 2203–2211, August 2017.Google Scholar
  40. [40]
    J. L. Wang, H. N. Wu, T. Huang, S. Y. Ren, and J. Wu, “Passivity analysis of coupled reaction-diffusion neural networks with dirichlet boundary conditions,” IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 47, no. 8, pp. 2148–2159, August 2017.Google Scholar
  41. [41]
    J. Bai, G. Wen, A. Rahmani, and Y. Yu, “Consensus problem with a reference state for fractional-order multi-agent systems,” Asian Journal of Control, vol. 19, no. 3, pp. 1009–1018, May 2017.MathSciNetzbMATHGoogle Scholar
  42. [42]
    I. Saboori and K. Khorasani, “H¥ consensus achievement of multi-agent systems with directed and switching topology networks,” IEEE Transactions on Automatic Control, vol. 59, no. 11, pp. 3104–3109, November 2014.MathSciNetzbMATHGoogle Scholar
  43. [43]
    R. Olfati-Saber and R. Murray, “Consensus problems in networks of agents with switching topology and timedelays,” IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1520–1533, September 2004.MathSciNetzbMATHGoogle Scholar
  44. [44]
    D. Aeyels, “Asymptotic stability of nonautonomous systems by liapunov’s direct method,” Systems & Control Letters, vol. 25, no. 4, pp. 273–280, July 1995.MathSciNetzbMATHGoogle Scholar
  45. [45]
    Y. Hong, L. Gao, D. Cheng, and J. Hu, “Lyapunov-based approach to multiagent systems with switching jointly connected interconnection,” IEEE Transactions on Automatic Control, vol. 52, no. 5, pp. 943–948, May 2007.MathSciNetzbMATHGoogle Scholar
  46. [46]
    B. Liu, X. Wang, H. Su, Y. Gao, and L. Wang, “Adaptive second-order consensus of multi-agent systems with heterogeneous nonlinear dynamics and time-varying delays,” Neurocomputing, vol. 118, no. 22, pp. 289–300, October 2013.Google Scholar
  47. [47]
    L. Mo, Y. Niu, and T. Pan, “Consensus of heterogeneous multi-agent systems with switching jointly-connected interconnection,” Physica A: Statistical Mechanics and its Applications, vol. 427, no. 1, pp. 132–140, June 2015.MathSciNetGoogle Scholar
  48. [48]
    Y. Wei, J. Qiu, and H. K. Lam, “A novel approach to reliable output feedback control of fuzzy-affine systems with time delays and sensor faults,” IEEE Transactions on Fuzzy Systems, vol. 25, no. 6, pp. 1808–1823, December 2017.Google Scholar
  49. [49]
    Y.Wei, J. Qiu, and H. R. Karimi, “Reliable output feedback control of discrete-time fuzzy affine systems with actuator faults,” IEEE Transactions on Circuits & Systems I Regular Papers, vol. 64, no. 1, pp. 170–181, January 2017.Google Scholar
  50. [50]
    Y. Wu, R. Lu, P. Shi, H. Su, and Z. G. Wu, “Analysis and design of synchronization for heterogeneous network,” IEEE Transactions on Cybernetics, vol. 48, no. 4, pp. 1253–1262, April 2018.Google Scholar
  51. [51]
    Y. Wu, R. Lu, P. Shi, H. Su, and Z. G. Wu, “Sampleddata synchronization of complex networks with partial couplings and T-S fuzzy nodes,” IEEE Transactions on Fuzzy Systems, vol. 26, no. 2, pp. 782–793, April 2018.Google Scholar

Copyright information

© ICROS, KIEE and Springer 2019

Authors and Affiliations

  • Jun Huang
    • 1
  • Guoguang Wen
    • 1
    Email author
  • Zhaoxia Peng
    • 2
  • Xing Chu
    • 3
  • Youwei Dong
    • 4
  1. 1.Department of MathematicsBeijing Jiaotong UniversityBeijingPR China
  2. 2.School of Transportation Science and EngineeringBeihang UniversityBeijingPR China
  3. 3.National Pilot School of SoftwareYunnan UniversityKunmingChina
  4. 4.Beijing C&W electronics (Group) Co., LtdBeijingChina

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