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Periodic event-triggered cooperative control of multiple non-holonomic wheeled mobile robots

Periodic event-triggered cooperative control of multiple non-holonomic wheeled mobile robots

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This study investigates the periodic event-triggered control for the hand position centroid consensus/formation problems of multiple non-holonomic wheeled mobile robots. By constructing invertible input transformation, the dynamics of the hand positions are formulated as two groups of first-order integrators. Then, the event-triggered control laws and the event conditions are proposed. On the basis of Lyapunov theory and the algebraic graph theory, permissible value ranges of the sampling period and the event condition parameters are established, guaranteeing that all the hand positions asymptotically tend to the common initial centroid location or the desired formation shape centred at the initial centroid. In addition, the orientations and the velocity inputs of each robot are ensured to reach some constants and zeros, respectively. Finally, simulations illustrate the efficiency of the proposed theoretical results.

References

    1. 1)
      • 1. Jadbabie, A., Lin, J., Morse, A.S.: ‘Coordination of groups of mobile autonomous agents using nearest neighbor rules’, IEEE Trans. Autom. Control, 2003, 48, (6), pp. 9881001.
    2. 2)
      • 2. Ren, W., Beard, R.W.: ‘Consensus seeking in multiagent systems under dynamically changing interaction topologies’, IEEE Trans. Autom. Control, 2005, 50, (5), pp. 655661.
    3. 3)
      • 3. Olfati, S.R., Fax, J.A., Murray, R.M.: ‘Consensus and cooperation in networked multi-agent systems’, Proc. IEEE, 2007, 95, (1), pp. 215233.
    4. 4)
      • 4. Yu, W., Chen, G., Cao, M., et al: ‘Second-order consensus for multi-agent systems with directed topologies and nonlinear dynamics’, IEEE Trans. Syst. Man Cybern. B, Cybern., 2010, 40, (3), pp. 881891.
    5. 5)
      • 5. Xie, G., Liu, H., Wang, L., et al: ‘Consensus in networked multi-agent systems via sampled control: fixed topology case’. Proc. American Control Conf., St. Louis, MO, USA, June 2009, pp. 39023907.
    6. 6)
      • 6. Gao, Y., Wang, L.: ‘Sampled-data based consensus of continuous-time multi-agent systems with time-varying topology’, IEEE Trans. Autom. Control, 2011, 56, (5), pp. 12261231.
    7. 7)
      • 7. Wen, G., Duan, Z., Yu, W., et al: ‘Consensus of multi-agent systems with nonlinear dynamics and sampled-data information: a delayed-input approach’, Int. J. Robust Nonlinear Control, 2012, 23, (6), pp. 602619.
    8. 8)
      • 8. Henningsson, T., Johannesson, E., Cervin, A.: ‘Sporadic event-based control of first-order linear stochastic systems’, Automatica, 2008, 44, (11), pp. 28902895.
    9. 9)
      • 9. Meng, X., Chen, T.: ‘Optimal sampling and performance comparison of periodic and event based impulse control’, IEEE Trans. Autom. Control, 2012, 57, (12), pp. 32523259.
    10. 10)
      • 10. Dorf, R., Farren, M., Phillips, C.: ‘Adaptive sampling frequency for sampled-data control systems’, IRE Trans. Autom. Control, 1962, 7, (1), pp. 3847.
    11. 11)
      • 11. Tabuada, P.: ‘Event-triggered real-time scheduling of stabilizing control tasks’, IEEE Trans. Autom. Control, 2007, 52, (9), pp. 16801685.
    12. 12)
      • 12. Yue, D., Tian, E., Han, Q.: ‘A delay system method for designing event-triggered controllers of networked control systems’, IEEE Trans. Autom. Control, 2013, 58, (2), pp. 475481.
    13. 13)
      • 13. Dimarogonas, D.V., Frazzoli, E., Johansson, K.H.: ‘Distributed event-triggered control for multi-agent systems’, IEEE Trans. Autom. Control, 2012, 57, (5), pp. 12911297.
    14. 14)
      • 14. Fan, Y., Feng, G., Wang, Y., et al: ‘Distributed event-triggered control of multi-agent systems with combinational measurements’, Automatica, 2013, 49, (2), pp. 671675.
    15. 15)
      • 15. Chen, X., Hao, F., Rahmani, A.: ‘Asynchronous decentralized event-triggered control of multi-agent systems’, Int. J. Control, 2014, 87, (10), pp. 21302139.
    16. 16)
      • 16. Seyboth, G.S., Dimarogonas, D.V., Johansson, K.H.: ‘Event-based broadcasting for multi-agent average consensus’, Automatica, 2013, 49, (1), pp. 245252.
    17. 17)
      • 17. Chen, X., Hao, F.: ‘Event-triggered consensus control of second-order multi-agent systems’, Asian J. Control, 2015, 17, (2), pp. 592603.
    18. 18)
      • 18. Li, H.Q., Liao, X.F., Huang, T.W., et al: ‘Event-triggering sampling based leader-following consensus in second-order multi-agent systems’, IEEE Trans. Autom. Control, 2015, 60, (7), pp. 19982003.
    19. 19)
      • 19. Zhang, Z., Hao, F., Zhang, L., et al: ‘Consensus of linear multi-agent systems via event-triggered control’, Int. J. Control, 2014, 87, (6), pp. 12431251.
    20. 20)
      • 20. Garcia, E., Cao, Y., Casbeer, D.W.: ‘Decentralized event-triggered consensus with general linear dynamics’, Automatica, 2014, 50, (10), pp. 26332640.
    21. 21)
      • 21. Zhu, W., Jiang, Z.P.: ‘Event-based leader-following consensus of multi-agent systems with input time delay’, IEEE Trans. Autom. Control, 2015, 60, (5), pp. 13621367.
    22. 22)
      • 22. Heemels, W.P.M.H., Donkers, M.C.F., Teel, A.R.: ‘Periodic event-triggered control for linear systems’, IEEE Trans. Autom. Control, 2013, 58, (4), pp. 847861.
    23. 23)
      • 23. Meng, X., Chen, T.: ‘Event based agreement protocols for multi-agent networks’, Automatica, 2013, 49, (7), pp. 21252132.
    24. 24)
      • 24. Cao, M.T., Xiao, F., Wang, L.: ‘Event-based second-order consensus control for multi-agent systems via synchronous periodic event detection’, IEEE Trans. Autom. Control, 2015, 60, (9), pp. 24522457.
    25. 25)
      • 25. Guo, G., Ding, L., Han, Q.L.: ‘A distributed event-triggered transmission strategy for sampled-data consensus of multi-agent systems’, Automatica, 2014, 50, (5), pp. 14891496.
    26. 26)
      • 26. Ding, L., Guo, G.: ‘Distributed event-triggered H consensus filtering in sensor networks’, Signal Process., 2015, 108, pp. 365375.
    27. 27)
      • 27. Ge, X.H., Han, Q.L.: ‘Distributed event-triggered H filtering over sensor networks with communication delays’, Inf. Sci., 2015, 291, pp. 128142.
    28. 28)
      • 28. Dong, W., Farrell, J.A.: ‘Cooperative control of multiple nonholonomic mobile agents’, IEEE Trans. Autom. Control, 2008, 53, (6), pp. 14341448.
    29. 29)
      • 29. Liu, T., Jiang, Z.P.: ‘Distributed formation control of nonholonomic mobile robots without global position measurements’, Automatica, 2013, 49, (2), pp. 592600.
    30. 30)
      • 30. Cao, K., Jiang, B., Yue, D.: ‘Distributed consensus of multiple nonholonomic mobile robots’, IEEE/CAA J. Autom. Sin., 2014, 1, (2), pp. 162170.
    31. 31)
      • 31. Xie, W.J., Ma, B.L.: ‘Position centroid rendezvous and centroid formation of multiple unicycle agents’, IET Control Theory Appl., 2014, 8, (17), pp. 20552061.
    32. 32)
      • 32. Jia, Y.M.: ‘Robust control with decoupling performance for steering and traction of 4WS vehicles under velocity-varying motion’, IEEE Trans. Control Syst. Technol., 2000, 8, (3), pp. 554569.
    33. 33)
      • 33. Lawton, J.R.T., Beard, R.W., Young, B.J.: ‘A decentralized approach to formation maneuvers’, IEEE Trans. Robot. Autom., 2003, 19, (6), pp. 933941.
    34. 34)
      • 34. Chen, X., Hao, F.: ‘Event-triggered average consensus control for discrete-time multi-agent systems’, IET Control Theory Appl., 2012, 6, (16), pp. 24932498.
    35. 35)
      • 35. Godsil, C., Royle, G.: ‘Algebraic graph theory’ (Springer, Berlin, 2001).
    36. 36)
      • 36. Zhang, X.M., Han, Q.L.: ‘Event-based dynamic output feedback control for networked control systems’, IET Control Theory Appl., 2014, 8, (4), pp. 226234.
    37. 37)
      • 37. Zhang, X.M., Han, Q.L.: ‘Event-based H filtering for sampled-data systems’, Automatica, 2015, 51, pp. 5569.
    38. 38)
      • 38. Zhang, X.M., Han, Q.L.: ‘A decentralized event-triggered dissipative control scheme for systems with multiple sensors to sample the system outputs’, IEEE Trans. Cybern., 2016, 46, (12), pp. 27452757.
    39. 39)
      • 39. Zhang, X.M., Han, Q.L., Yu, X.: ‘Survey on recent advances in networked control systems’, IEEE Trans. Ind. Inf., 2016, 12, (5), pp. 17401752.
    40. 40)
      • 40. Postoyan, R., Bragagnolo, M.C., Galbrun, E., et al: ‘Event-triggered tracking control of unicycle mobile robots’, Automatica, 2015, 52, pp. 302308.
    41. 41)
      • 41. Seyboth, G.S.: ‘Event-based control for multi-agent systems’ (KTH Royal Institute of Technology, Sweden, 2010).
    42. 42)
      • 42. Qiu, Y.L., Chen, F., Xiang, L.Y.: ‘Distributed event-triggered control for coupled nonholonomic mobile robots’. Proc. Chinese Control Conf., Hangzhou, China, July 2009, pp. 12681273.
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