access icon free Event-triggered leader–following consensus of non-linear multi-agent systems with switched dynamics

This study investigates the leader–following consensus problem for a class of switched non-linear multi-agent systems via event-triggered protocols, where the switching signal of each agent is different. Both centralised and decentralised event-triggered protocols are proposed for the switched non-linear multi-agent systems. The results are then extended to the self-triggered control cases, respectively. It is proved that the practical leader–following consensus can be achieved by designed protocols. Moreover, the feasibility of the proposed control schemes is further verified by excluding the Zeno behaviour. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

Inspec keywords: control system synthesis; switching systems (control); nonlinear control systems; multi-agent systems; decentralised control

Other keywords: practical leader; switched nonlinear multiagent systems; centralised decentralised event-triggered protocols; switched dynamics; switching signal; leader–following consensus problem; event-triggered leader–following consensus; Zeno behaviour

Subjects: Time-varying control systems; Control system analysis and synthesis methods; Nonlinear control systems; Multivariable control systems

References

    1. 1)
      • 30. Liberzon, D.: ‘Switching in systems and control’ (Birkhäuser, Boston, USA, 2003).
    2. 2)
      • 11. Cheng, L., Wang, Y., Ren, W., et al: ‘On convergence rate of leader-following consensus of linear multi-agent systems with communication noises’, IEEE Trans. Autom. Control, 2016, 61, (11), pp. 35863592.
    3. 3)
      • 22. Cheng, T., Kan, Z., Klotz, J., et al: ‘Event-triggered control of multi-agent systems for fixed and time-varying network topologies’, IEEE Trans. Autom. Control, 2017, 62, (10), pp. 53655371.
    4. 4)
      • 3. Guo, J., Rogers, U., Li, X., et al: ‘Secrecy constrained distributed detection in sensor networks’, IEEE Trans. Signal Inf. Process. Netw., 2017, 4, (2), pp. 378391.
    5. 5)
      • 23. Liu, D., Yang, G.H.: ‘Event-triggered control for linear systems with actuator saturation and disturbances’, IET Control Theory Appl., 2017, 11, (9), pp. 13511359.
    6. 6)
      • 28. Liu, L., Shan, J.: ‘Event-triggered consensus of nonlinear multi-agent systems with stochastic switching topology’, J. Franklin Inst., 2017, 354, (13), pp. 53505373.
    7. 7)
      • 41. Su, X., Liu, X., Shi, P., et al: ‘Sliding mode control of hybrid switched systems via an event-triggered mechanism’, Automatica, 2018, 90, pp. 294303.
    8. 8)
      • 19. Dolk, V., Heemels, M.: ‘Event-triggered control systems under packet losses’, Automatica, 2017, 80, pp. 143155.
    9. 9)
      • 42. Xiang, W., Johnson, T.T.: ‘Event-triggered control for continuous-time switched linear systems’, IET Control Theory Appl., 2017, 11, (11), pp. 16941703.
    10. 10)
      • 9. Hu, J., Lin, Y.S.: ‘Consensus control for multi-agent systems with double-integrator dynamics and time delays’, IET Control Theory Appl., 2010, 4, (11), pp. 109118.
    11. 11)
      • 36. Meng, H., Chen, Z., Middleton, R.: ‘Consensus of multi-agents in switching networks using input-to-state stability of switched systems’, IEEE Trans. Autom. Control, 2017, DOI: 10.1109/TAC.2018.2809454.
    12. 12)
      • 4. Richert, D., Cortés, J.: ‘Co-operative multi-agent systems with engineering application’, IET Control Theory Appl., 2015, 9, (3), pp. 309311.
    13. 13)
      • 5. Tian, L., Zhao, B., Wang, L.: ‘Controllability of multi-agent systems with periodically switching topologies and switching leaders’, Int. J. Control, 2018, 91, (5), pp. 10231033.
    14. 14)
      • 24. Xie, D., Xu, S., Chu, Y., et al: ‘Event-triggered average consensus for multi-agent systems with nonlinear dynamics and switching topology’, J. Franklin Inst., 2015, 352, (3), pp. 10801098.
    15. 15)
      • 8. Olfati-Saber, R., Murray, R.M.: ‘Consensus problems in networks of agents with switching topology and time-delays’, IEEE Trans. Autom. Control, 2004, 49, pp. 15201533.
    16. 16)
      • 18. Zhang, Z., Zhang, L., Hao, F., et al: ‘Leader-following consensus for linear and Lipschitz nonlinear multi-agent systems with quantized communication’, IEEE Trans. Cybern., 2017, 47, (8), pp. 19701982.
    17. 17)
      • 43. Li, T.F., Fu, J., Deng, F., et al: ‘Stabilization of switched linear neutral systems: an event-triggered sampling control scheme’, IEEE Trans. Autom. Control, 2018, DOI: 10.1109/TAC.2018.2797160.
    18. 18)
      • 16. Yu, Z., Huang, D., Jiang, H., et al: ‘Consensus of second-order multi-agent systems with nonlinear dynamics via edge-based distributed adaptive protocols’, J. Franklin Inst., 2016, 353, (18), pp. 48214844.
    19. 19)
      • 34. Yuan, C., Wu, F.: ‘Almost output regulation of switched linear dynamics with switched exosignals’, Int. J. Robust Nonlinear Control, 2017, 27, (16), pp. 31973217.
    20. 20)
      • 14. Du, H., Cheng, Y., He, Y., et al: ‘Second-order consensus for nonlinear leader-following multi-agent systems via dynamic output feedback control’, Int. J. Robust Nonlinear Control, 2016, 26, (2), pp. 329344.
    21. 21)
      • 10. Liu, W., Huang, J.: ‘Adaptive leader-following consensus for a class of higher-order nonlinear multi-agent systems with directed switching networks’, Automatica, 2017, 79, pp. 8492.
    22. 22)
      • 39. Dai, J., Guo, G.: ‘Exponential consensus of non-linear multi-agent systems with semi-Markov switching topologies’, IET Control Theory Appl., 2017, 11, (18), pp. 33633371.
    23. 23)
      • 40. Zhang, K., Jiang, B., Cocquempo, V.: ‘Distributed fault estimation observer design for multi-agent systems with switching topologies’, IET Control Theory Appl., 2017, 11, (16), pp. 28012807.
    24. 24)
      • 25. Ren, G., Yu, Y.: ‘Mean square consensus of stochastic multi-agent systems with nonlinear dynamics by distributed event-triggered strategy’, Int. J. Control, 2017, DOI: 10.1080/00207179.2017.1369572.
    25. 25)
      • 46. Hardy, G.H., Littlewood, J.E., Polya, G.: ‘Inequalities’ (Cambridge University Press, Cambridge, UK, 1952).
    26. 26)
      • 45. Hu, J., Feng, G.: ‘Distributed tracking control of leader-follower multi-agent systems under noisy measurement’, Automatica, 2010, 46, pp. 13821387.
    27. 27)
      • 2. Chen, M., Su, H., Wang, X., et al: ‘Optimal leader allocation in UAV formation pairs ensuring cooperation’, Automatica, 2013, 49, (11), pp. 31893198.
    28. 28)
      • 17. He, P., Li, Y., Park, J.H.: ‘Noise tolerance leader-following of high-order nonlinear dynamical multi-agent systems with switching topology and communication delay’, J. Franklin Inst., 2016, 353, (1), pp. 108143.
    29. 29)
      • 32. Xiang, W., Tran, H.D., Johnson, T.T.: ‘Output reachable set estimation for switched linear systems and its application in safety verification’, IEEE Trans. Autom. Control, 2017, 62, (10), pp. 53805387.
    30. 30)
      • 20. Wang, J., Zhang, P., Ni, W.: ‘Observer-based event-triggered control for consensus of general linear MASs’, IET Control Theory Appl., 2017, 11, (18), pp. 33053312.
    31. 31)
      • 7. Valcher, M., Zorzan, I.: ‘On the consensus of homogeneous multi-agent systems with arbitrarily switching topology’, Automatica, 2017, 84, pp. 7985.
    32. 32)
      • 47. Zhang, T., Ge, S.S., Huang, C.: ‘Adaptive neural network control for strict-feedback nonlinear systems using backstepping design’, Automatica, 2000, 36, (12), pp. 18351846.
    33. 33)
      • 1. Oh, K., Park, M., Anh, H.: ‘A survey of multi-agent formation control’, Automatica, 2015, 53, pp. 424440.
    34. 34)
      • 13. Xiao, F., Cheng, T.: ‘Adaptive consensus in leader-following networks of heterogeneous linear systems’, IEEE Trans. Control Netw. Syst., 2017, 11, (11), pp. 17151725.
    35. 35)
      • 37. Liu, T., Huang, J.: ‘Cooperative output regulation for a class of nonlinear multi-agent systems with unknown control directions subject to switching networks’, IEEE Trans. Autom. Control, 2018, 63, (3), pp. 783790.
    36. 36)
      • 38. Yu, Z., Jiang, H., Huang, D., et al: ‘Consensus of nonlinear multi-agent systems with directed switching graphs: a directed spanning tree based error system approach’, Nonlinear Anal., Hybrid Syst., 2018, 28, pp. 123140.
    37. 37)
      • 27. Ma, C., Qiao, H.: ‘Distributed asynchronous event-triggered consensus of nonlinear multi-agent systems with disturbances: an extended dissipative approach’, Neurocomputing, 2017, 243, pp. 103114.
    38. 38)
      • 44. Qi, Y., Cao, M.: ‘Finite-time boundedness and stabilisation of switched linear systems using event-triggered controllers’, IET Control Theory Appl., 2017, 11, (18), pp. 32403248.
    39. 39)
      • 33. Zhai, G., Xu, X., Daniel, W.C.H.: ‘Stability of switched linear discrete-time descriptor systems: a new commutation condition’, Int. J. Control, 2012, 85, (11), pp. 17791788.
    40. 40)
      • 29. Zhao, M., Peng, C., He, W., et al: ‘Event-triggered communication for leader-following consensus of second-order multi-agent systems’, IEEE Trans. Cybern., 2017, 48, (6), pp. 18881897.
    41. 41)
      • 35. Simone, B., Giorgio, B., Edoardo, M., et al: ‘Multi-model unfalsified adaptive switching supervisory control’, Automatica, 2010, 46, pp. 249259.
    42. 42)
      • 6. Ma, C., Li, T., Zhang, J.: ‘Consensus control for leader-following multi-agent systems with measurement noises’, J. Syst. Sci. Complex., 2010, 23, (1), pp. 3549.
    43. 43)
      • 31. Xiang, W., Xiao, J.: ‘Convex sufficient conditions on asymptotic stability and L2 gain performance for uncertain discrete-time switched linear systems’, IET Control Theory Appl., 2014, 8, (3), pp. 211218.
    44. 44)
      • 15. Ding, L., Zheng, W.: ‘Consensus tracking in heterogeneous nonlinear multi-agent networks with asynchronous sampled-data communication’, Syst. Control Lett., 2016, 96, pp. 151157.
    45. 45)
      • 26. Hu, A., Cao, J.: ‘Consensus of multi-agent systems via intermittent event-triggered control’, Int. J. Syst. Sci., 2017, 48, (2), pp. 280287.
    46. 46)
      • 21. Su, H., Wang, Z., Song, Z., et al: ‘Event-triggered consensus of nonlinear multi-agent systems with sampling data and time delay’, IET Control Theory Appl., 2017, 11, (11), pp. 17151725.
    47. 47)
      • 12. Cao, W., Zhang, J., Ren, W.: ‘Leader-follower consensus of linear multi-agent systems with unknown external disturbances’, Syst. Control Lett., 2015, 82, pp. 6470.
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