Finite-time consensus tracking for multi-agent systems with inherent uncertainties and disturbances

References

• Brewer, J. W. (1978). Kronecker products and matrix calculus in system theory. IEEE Transactions on Circuits and Systems, 25 (9), 772–781.
   Google Scholar
• Cao, Y. , Ren, W. , Casbeer, D. , & Schumacher, C. (2016). Finite-time connectivity-preserving consensus of networked nonlinear agents with unknown lipschitz terms. IEEE Transactions on Automatic Control, 61 (6), 1700–1705.
   Web of Science ®Google Scholar
• Du, H. , He, Y. , & Cheng, Y. (2014). Finite-time synchronization of a class of second-order nonlinear multi-agent systems using output feedback control. IEEE Transactions on Circuits and Systems I: Regular Papers, 61 (6), 1778–1788.
   Web of Science ®Google Scholar
• Filippov, A. F . (1988). Differential equations with discontinuous right-hand sides . Dordrecht: Kluwer Academic Publishers.
   Google Scholar
• Franceschelli, M. , Giua, A. , Pisano, A. , & Usai, E. (2013). Finite-time consensus for switching network topologies with disturbances. Nonlinear Analysis: Hybrid Systems, 10 , 83–93.
   Web of Science ®Google Scholar
• Franceschelli, M. , Pisano, A. , Giua, A. , & Usai, E. (2015). Finite-time consensus with disturbance rejection by discontinuous local interactions in directed graphs. Nonlinear Analysis: Hybrid Systems, 60 (4), 1133–1138.
   Google Scholar
• Ghasemi, M. , & Nersesov, S. G. (2014). Finite-time coordination in multiagent systems using sliding mode control approach. Automatica, 50 (4), 1209–1216.
   Web of Science ®Google Scholar
• Guan, Z. H. , Sun, F. L. , Wang, Y. W. & Li, T. (2012). Finite-time consensus for leader-following second-order multi-agent networks. IEEE Transactions on Circuits and Systems I: Regular Papers, 59 (11), 2646–2654.
   Web of Science ®Google Scholar
• He, X. , Wang, Q. , & Yu, W. (2014). Finite-time containment control for second-order multiagent systems under directed topology. IEEE Transactions on Circuits and Systems II: Express Briefs, 61 (8), 619–623.
   Web of Science ®Google Scholar
• He, X. , Wang, Q. , & Yu, W. (2015). Distributed finite-time containment control for second-order nonlinear multi-agent systems. Applied Mathematics and Computation, 268 , 509–521.
   Web of Science ®Google Scholar
• Hong, Y. , Hu, J. , & Gao, L. (2006). Tracking control for multi-agent consensus with an active leader and variable topology. Automatica, 42 (7), 1177–1182.
   Web of Science ®Google Scholar
• Khalil, H. K . (2002). Nonlinear systems (2nd ed.). Englewood Cliffs, NJ: Prentice Hall.
   Google Scholar
• Khoo, S. , Xie, L. , & Man, Z. (2009). Robust finite-time consensus tracking algorithm for multirobot systems. IEEE/ASME Transactions on Mechatronics, 14 (2), 219–228.
   Web of Science ®Google Scholar
• Khoo, S. , Xie, L. , Zhao, S. , & Man, Z. (2014). Multi-surface sliding control for fast finite-time leader-follower consensus with high order SISO uncertain nonlinear agents. International Journal of Robust and Nonlinear Control, 24 (16), 2388–2404.
   Web of Science ®Google Scholar
• Kim, B. W. , & Park, B. S. (2016). Robust control for the segway with unknown control coefficient and model uncertainties. Sensors, 16 (7), 1–11.
   Web of Science ®Google Scholar
• Li, S. , Du, H. , & Lin, X. (2011). Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics. Automatica, 47 (8), 1706–1712.
   Web of Science ®Google Scholar
• Lin, P. , Ren, W. , & Farrell, J. A. (2017). Distributed continuous-time optimization: Nonuniform gradient gains, finite-time convergence, and convex constraint set. IEEE Transactions on Automatic Control, 62 (5), 2239–2253.
   Web of Science ®Google Scholar
• Liu, Y. G. (2013). Global asymptotic regulation via time-varying output feedback for a class of uncertain nonlinear systems. SIAM Journal on Control and Optimization, 51 (6), 4318–4342.
   Web of Science ®Google Scholar
• Liu, Y. G. (2014). Finite-time stabilization via time-varying feedback for uncertain nonlinear systems. SIAM Journal on Control and Optimization, 52 (3), 1886–1913.
   Web of Science ®Google Scholar
• Liu, H. , Cheng, L. , Tan, M. , & Hou, Z. (2015). Distributed exponential finite-time coordination of multi-agent systems: Containment control and consensus. International Journal of Control, 88 (2), 237–247.
   Web of Science ®Google Scholar
• Liu, Q. , & Liang, Z. (2016). Finite-time consensus of time-varying nonlinear multi-agent systems. International Journal of Systems Science, 47 (11), 2642–2651.
   Web of Science ®Google Scholar
• Ma, C. Q. , & Zhang, J. F. (2010). Necessary and sufficient conditions for consensusability of linear multi-agent systems. IEEE Transactions on Automatic Control, 55 (5), 1263–1268.
   Web of Science ®Google Scholar
• Man, Y. C. , & Liu, Y. G. (2016). Global adaptive stabilisation for nonlinear systems with unknown control directions and input disturbance. International Journal of Control, 89 (5), 1038–1046.
   Web of Science ®Google Scholar
• Meng, Z. , Ren, W. , & You, Z. (2010). Distributed finite-time attitude containment control for multiple rigid bodies. Automatica, 46 (12), 2092–2099.
   Web of Science ®Google Scholar
• Olfati-Saber, R. , & Murray, R. M. (2004). Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control, 49 (9), 1520–1533.
   Web of Science ®Google Scholar
• Shi, G. , Johansson, K. H. , & Hong, Y. (2013). Reaching an optimal consensus: Dynamical systems that compute intersections of convex sets. IEEE Transactions on Automatic Control, 58 (3), 610–622.
   Web of Science ®Google Scholar
• Su, H. , Wang, X. , & Chen, G. (2009). A connectivity-preserving flocking algorithm for multi-agent systems based only on position measurements. International Journal of Control, 82 (7), 1334–1343.
   Web of Science ®Google Scholar
• Sun, F. L. , Chen, J. , Guan, Z. H. , Ding, L. , & Li, T. (2012). Leader-following finite-time consensus for multi-agent systems with jointly-reachable leader. Nonlinear Analysis: Real World Applications, 13 (5), 2271–2284.
   Web of Science ®Google Scholar
• Wang, X. , Li, S. , & Shi, P. (2014). Distributed finite-time containment control for double-integrator multiagent systems. IEEE Transactions on Cybernetics, 44 (9), 1518–1528.
   PubMed Web of Science ®Google Scholar
• Wang, X. , Xu, D. , & Hong, Y. (2014). Consensus control of nonlinear leader-follower multi-agent systems with actuating disturbances. Systems & Control Letters, 73 , 58–66.
   Web of Science ®Google Scholar
• Wen, G. , Yu, Y. , Peng, Z. , & Rahmani, A. (2016). Distributed finite-time consensus tracking for nonlinear multi-agent systems with a time-varying reference state. International Journal of Systems Science, 47 (8), 1856–1867.
   Web of Science ®Google Scholar
• Yang, A. , Naeem, W. , & Fei, M. (2016). Formation stability analysis of unmanned multi-vehicles under interconnection topologies. International Journal of Control, 88 (4), 754–767.
   Web of Science ®Google Scholar
• Yu, W. , Cao, J. , & Lü, J. (2008). Global synchronization of linearly hybrid coupled networks with time-varying delay. SIAM Journal on Applied Dynamical Systems, 7 (1), 108–133.
   Web of Science ®Google Scholar
• Yu, S. , & Long, X. (2015). Finite-time consensus for second-order multi-agent systems with disturbances by integral sliding mode. Automatica, 54 (1), 158–165.
   Web of Science ®Google Scholar
• Zhang, X. , & Liu, X. (2014). Consensus of second-order multi-agent systems with disturbances generated by nonlinear exosystems under switching topologies. Journal of the Franklin Institute, 351 (1), 473–486.
   Web of Science ®Google Scholar
• Zhang, G. , Yang, Y. , Zhao, Y. , & Wen, G. (2013). Distributed finite-time tracking control for nonlinear multi-agent systems subject to external disturbances. International Journal of Control, 86 (1), 29–40.
   Web of Science ®Google Scholar
• Zhao, Y. , & Duan, Z. (2014). Finite-time containment control without velocity and acceleration measurements. Nonlinear Dynamics, 82 (1–2), 259–268.
   Web of Science ®Google Scholar
• Zhao, Y. , Duan, Z. , Wen, G. , & Chen, G. (2015). Distributed finite-time tracking for a multi-agent system under a leader with bounded unknown acceleration. Systems & Control Letters, 81 , 8–13.
   Web of Science ®Google Scholar
• Zuo, Z. , & Tie, L. (2014). A new class of finite-time nonlinear consensus protocols for multi-agent systems. International Journal of Control, 87 (2), 363–370.
   Web of Science ®Google Scholar