Robust synchronisation tracking control of networked Euler–Lagrange systems using reference trajectory estimation based on virtual double-integrators

References

• Cao, Y., & Ren, W. (2013). Distributed coordinated tracking with reduced interaction via a variable structure approach. IEEE Transactions on Automatic Control, 57, 33–48.
   Web of Science ®Google Scholar
• Chen, G., & Lewis, F.L. (2011). Distributed adaptive tracking control for synchronization of unknown networked Lagrangian systems. IEEE Transactions on Systems, Man and Cybernetics, Part B, 41, 805–816.
   PubMed Web of Science ®Google Scholar
• Chen, G., Yue, Y., & Song, Y. (2013). Finite-time cooperative-tracking control for networked Euler–Lagrange systems. IET Control Theory and Applications, 7, 1487–1497.
   Web of Science ®Google Scholar
• Chung, S.J., & Slotine, J.J.E. (2009). Cooperative robot control and concurrent synchronization of Lagrangian systems. IEEE Transactions on Robotics, 25, 1686–1700.
   Web of Science ®Google Scholar
• Cui, R., Ren, B., & Ge, S.S. (2012). Synchronised tracking control of multi-agent system with high-order dynamics. IET Control Theory and Applications, 6, 603–614.
   Web of Science ®Google Scholar
• Dong, W. (2011). On consensus algorithms of multiple uncertain mechanical systems with a reference trajectory. Automatica, 47, 2023–2038.
   Web of Science ®Google Scholar
• Freidvich, L.B., & Khalil, H.K. (1997). Adaptive output feedback control of robot manipulators using high-gain observers. International Journal of Control, 67, 869–886.
   Web of Science ®Google Scholar
• Hsu, S.H., & Fu, L.C. (2006). A fully adaptive decentralized control of robot manipulators. Automatica, 20, 1761–1767.
   Web of Science ®Google Scholar
• Hu, G. (2012). Robust consensus tracking of a class of second-order multi-agent dynamic systems. Communications in Nonlinear Science and Numerical Simulation, 19, 1985–1995.
   Google Scholar
• Jin, X.Z., & Yang, G.H. (2014). Robust synchronization control for complex networks with disturbed sampling couplings. Systems $\&$ Control Letters, 61, 134–142.
   Google Scholar
• Khalil, H.K., & Praly, L. (2014). High-gain observers in nonlinear feedback control. International Journal of Robust and Nonlinear Control, 24, 993–1015.
   Web of Science ®Google Scholar
• Khoo, S., Xie, L., & Man, Z. (2009). Robust finite-time consensus tracking algorithm for multirobot systems. IEEE Transactions on Mechantronics, 14, 219–228.
   Web of Science ®Google Scholar
• Lee, K.W., & Khalil, H.K. (1997). Adaptive output feedback control of robot manipulators using high-gain observers. International Journal of Control, 67, 869–886.
   Web of Science ®Google Scholar
• Liu, K., Xie, G., Re, W., & Wang, L. (2013). Consensus for multi-agent systems with inherent nonlinear dynamics under directed topologies. Systems $\&$ Control Letters, 62, 152–162.
   Web of Science ®Google Scholar
• Mastellone, S., Mejia, J.S., Stipanovic, D.M., & Spong, M.W. (2011). Formation control and coordinated tracking via asymptotic decoupling for Lagrangian multi-agent systems. Automatica, 47, 2355–2363.
   Web of Science ®Google Scholar
• Mei, J., Ren, W., & Ma, G. (2011). Distributed coordinated tracking with a dynamic leader for multiple Euler–Lagrange Systems. IEEE Transactions on Automatic Control, 56, 1415–1421.
   Web of Science ®Google Scholar
• Mei, J., Ren, W., & Ma, G. (2012). Distributed containment control for Lagrangian networks with parametric uncertainties under a directed graph. Automatica, 48, 653–659.
   Web of Science ®Google Scholar
• Mei, J., Ren, W., & Ma, G. (2013). Distributed coordination for second-order multi-agent systems with nonlinear dynamics using only relative position measurements. Automatica, 49, 1419–1427.
   Web of Science ®Google Scholar
• Meng, Z., Ling, Z., & Ren, W. (2012). Leader–follower swarm tracking for networked Lagrange systems. Systems $\&$ Control Letters, 61, 112–126.
   Web of Science ®Google Scholar
• Meng, Z., Ling, Z., & Ren, W. (2013). Robust cooperative tracking for multiple non-identical second-order nonlinear systems. Automatica, 49, 2363–2372.
   Web of Science ®Google Scholar
• Nuno, E., Ortega, R., Basanez, L., & Hill, D. (2011). Synchronization of networks of nonidentical Euler–Lagrange systems with uncertain parameters and communication delays. IEEE Transactions on Automatic Control, 56, 935–940.
   Web of Science ®Google Scholar
• Ren, W., & Beard, W. (2007). Distributed consensus in multi-vehicle cooperative control, theory and applications. London: Springer-Verlag.
   Google Scholar
• Ren, W., & Cao, Y. (2011). Distributed coordination of multi-agent networks, emergent problems, models, and issues. London: Springer-Verlag.
   Google Scholar
• Seshagiri, S., & Khalil, H.K. (2000). Output feedback control of nonlinear systems using RBF neural networks. IEEE Transactions on Neural Networks, 11, 69–79.
   PubMed Web of Science ®Google Scholar
• Spong, M.W., & Chopra, N. (2007). Synchronization of networked Lagrangian systems. In F. Bullo & K. Fujimoto (Eds.), Lagrangian and Hamiltonian methods for nonlinear control (pp. 47–59). Berlin: Springer-Verlag.
   Google Scholar
• Spong, M.W., & Vidysagar, M. (1989). Robot dynamics and control. New York, NY: Wiley.
   Google Scholar
• Sun, D., Zhao, X., & Feng, G. (2007). A model-free cross-coupled control for position synchronization of multi-axis motions: Theory and experiments. IEEE Transactions on Control System Technology, 15, 306–314.
   Web of Science ®Google Scholar
• Sun, F., & Guan, Z.H. (2013). Finite-time consensus for leader-following second order multi-agent system. International Journal of Systems Science, 44, 727–738.
   Web of Science ®Google Scholar
• Yang, Z.J., Fukushima, Y., & Qin, P. (2012). Decentralized adaptive robust control of robot manipulators using disturbance observers. IEEE Transactions on Control Systems Technology, 20, 1357–1365.
   Web of Science ®Google Scholar
• Yang, Z.J., Hara, S., Kanae, S., & Wada (2011). Robust output feedback control of a class of nonlinear systems using a disturbance observer. IEEE Transactions on Control Systems Technology, 19, 256–268.
   Web of Science ®Google Scholar
• Yang, Z.J., Shibuya, Y., & Qin, P. (2015). Distributed robust control for synchronised tracking of networked Euler-Lagrange systems. International Journal of Systems Science, 46, 720–732
   Web of Science ®Google Scholar
• Zhang, H., & Lewis, F.L. (2012). Lyapunov, adaptive, and optimal design techniques for cooperative systems on directed communication graphs. IEEE Transaction on Industrial Electronics, 59, 3026–3040.
   Web of Science ®Google Scholar
• Zhang, W., Wang, Z., & Guo, Y. (2014). Backstepping-based synchronisation of uncertain networked Lagrangian Systems. International Journal of Systems Science, 45, 145–158.
   Web of Science ®Google Scholar
• Zhao, D., & Zou, T. (2012). A finite-time approach to formation control of multiple mobile robots with terminal sliding mode. International Journal of Systems Science, 43, 1998–2014.
   Web of Science ®Google Scholar
• Zhao, D., Zou, T., Li, S., & Zhu, Q. (2011). Adaptive backstepping sliding mode control for leader–follower multi-agent systems. IET Control Theory and Applications, 6, 1109–1117.
   Web of Science ®Google Scholar
• Zhao, Y., Duan, Z., Wen, G., & Zhang, Y. (2013). Distributed finite-time tracking control for multi-agent systems: An observer-based approach. Systems $\&$ Control Letters, 62, 22–23.
   Web of Science ®Google Scholar
• Zheng, Y., & Wang, L. (2012). Finite-time consensus of heterogeneous multi-agent systems with and without velocity measurements. System and Control letters, 61, 871–878.
   Web of Science ®Google Scholar