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Neural-Network-based Consensus Tracking of Second-Order Multi-Agent Systems With Unknown Heterogeneous Nonlinearities

미지의 이종 비선형성을 갖는 2차 비선형 다개체 시스템의 신경 회로망 기반 일치 추종

  • Choi, Yun Ho (School of Electrical and Electronics Engineering, Chung-Ang University) ;
  • Yoo, Sung Jin (School of Electrical and Electronics Engineering, Chung-Ang University)
  • 최윤호 (중앙대학교 전자전기공학과) ;
  • 유성진 (중앙대학교 전자전기공학과)
  • Received : 2016.04.18
  • Accepted : 2016.05.09
  • Published : 2016.06.01

Abstract

This paper presents a simple approximation-based design approach for consensus tracking of heterogeneous second-order nonlinear systems under a directed network. All nonlinearities of followers are assumed to be unknown and non-identical. In the controller design procedure, graph-independent error surfaces are used and an unimplementable intermediate controller for each follower is designed at the first design step. Then, by adding and subtracting a graph-based term at the second step, the actual controller for each follower is designed by using one neural network employed to estimate a lumped and distributed nonlinearity. Therefore, the proposed local controller for each follower has a simpler structure than existing approximation-based consensus tracking controllers for multi-agent systems with unmatched nonlinearities.

Keywords

References

  1. Y. Hong, J. Hu, and L. Gao, "Tracking control for multi-agent consensus with an active leader and variable topology," Automatica, vol. 42, no. 7, pp. 1177-1182, Jul. 2006. https://doi.org/10.1016/j.automatica.2006.02.013
  2. Y. Cao and W. Ren, "Distributed coordinated tracking with reduced interaction via a variable structure approach," IEEE Transactions on Automatic Control, vol. 57, no. 1, pp. 33-48, Jan. 2012. https://doi.org/10.1109/TAC.2011.2146830
  3. J. Hu and G. Feng, "Distributed tracking control of leader-follower multi-agent systems under noisy measurement," Automatica, vol. 46, no. 8, pp. 1382-1387, Aug. 2010. https://doi.org/10.1016/j.automatica.2010.05.020
  4. Q. Song, J. Cao, and W. Yu, "Second-order leader-following consensus of nonlinear multi-agent systems via pinning control," Systems & Control Letters, vol. 59, no. 9, pp. 553-562, Sep. 2010. https://doi.org/10.1016/j.sysconle.2010.06.016
  5. H. Zhang and F. L. Lewis, "Adaptive cooperative racking control of higher-order nonlinear systems with unknown dynamics," Automatica, vol. 48, no. 7, pp. 1432-1439, Jul. 2012. https://doi.org/10.1016/j.automatica.2012.05.008
  6. J. Kim and J. Back, "Reduced-order disturbance observer based coordinated tracking of uncertain heterogeneous multi-agent systems," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 20, no. 12, pp. 1231-1237, Dec. 2014. https://doi.org/10.5302/J.ICROS.2014.14.0098
  7. J. Mei, W. Ren, and G. Ma, "Distributed coordinated tracking with a dynamic leader for multiple Euler-Lagrange systems," IEEE Transactions on Automatic Control, vol. 56, no. 6, pp. 1415-1421, Jan. 2011. https://doi.org/10.1109/TAC.2011.2109437
  8. S. J. Yoo, "Distributed consensus tracking for multiple uncertain nonlinear strict-feedback systems under a directed graph," IEEE Transactions on Neural Networks and Learning Systems, vol. 24, no. 4, pp. 666-672, Apr. 2013. https://doi.org/10.1109/TNNLS.2013.2238554
  9. S. J. Yoo, "Synchronised tracking control for multiple strict-feedback non-linear systems under switching network," IET Control Theory and Applications, vol. 8, no. 8, pp. 546-553, May 2014. https://doi.org/10.1049/iet-cta.2013.0942
  10. G. Cui, S. Xu, F. L. Lewis, B. Zhang, and Q. Ma, "Distributed consensus tracking for non-linear multi-agent systems with input saturation: a command filtered backstepping approach," IET Control Theory and Applications, vol. 10, no. 5, pp. 509-516, Mar. 2016. https://doi.org/10.1049/iet-cta.2015.0627
  11. Y. Yang, D. Yue, and C. Dou, "Distributed adaptive output consensus control of a class of heterogeneous multi-agent systems under switching directed topologies," Information Sciences, vol. 345, pp. 294-312, Jun. 2016. https://doi.org/10.1016/j.ins.2016.01.043
  12. M. Shahvali and K. Shojaei, "Distributed adaptive neural control of nonlinear multi-agent systems with unknown control directions," Nonlinear Dynamics, vol. 83, no. 4, pp. 2213-2228, Mar. 2016. https://doi.org/10.1007/s11071-015-2476-4
  13. C. L. P. Chen, C. Ren, and T. Du, "Fuzzy observed-based adaptive consensus tracking control for second-order multi-agent systems with heterogeneous nonlinear dynamics," IEEE Transactions on Fuzzy Systems, DOI: 10.1109/TFUZZ.2015.2486817.
  14. G. Sun, D. Wang, T. Li, Z. Peng, and H. Wang, "Single neural network approximation based adaptive control for a class of uncertain strict-feedback nonlinear systems," Nonlinear Dynamics, vol. 72, no. 1-2, pp. 175-184, Apr. 2013. https://doi.org/10.1007/s11071-012-0701-y
  15. Y. H. Choi and S. J. Yoo, "Single-approximation-based adaptive control of a class of nonlinear time-delay systems," Neural Computing and Applications, vol. 27, pp. 1041-1052, 2016. https://doi.org/10.1007/s00521-015-1919-7
  16. Y. H. Choi and S. J. Yoo, "Minimal-approximationbased decentralized backstepping control of interconnected time-delay systems," IEEE Transactions on Cybernetics, DOI: 10.1109/TCYB.2015.2507165.
  17. Qu, Z, Cooperative Control of Dynamical Systems: Applications to Autonomous Vehicles, Springer-Verlag, London, 2009.
  18. J. Park and I. W. Sandberg, "Universal approximation using radial-basis function networks," Neural Computation, vol. 3, no. 2, pp. 246-257, Jun. 1991. https://doi.org/10.1162/neco.1991.3.2.246
  19. B. S. Kim and S. J. Yoo, "Adaptive neural control for output-constrained pure-feedback systems," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 20, no. 1, pp. 42-47, Jan. 2014. https://doi.org/10.5302/J.ICROS.2014.13.1972
  20. C. Wang, D. J. Hill, S. S. Ge, and G. R. Chen, "An ISS-modular approach for adaptive neural control of pure-feedback systems," Automatica, vol. 42, no. 5, pp. 625-635, May 2006.
  21. Y. H. Choi and S. J. Yoo, "Approximation-based adaptive consensus tracking of uncertain second-order nonlinear multi-agent systems," Proc. of 2016 31th ICROS Annual Conference (in Korean), Seoul, pp. 424-425, Mar. 2016.