Robust finite-time consensus control for multi-agent systems with disturbances and unknown velocities.

In this paper, we investigated the finite-time consensus tracking problem for multi-agent systems with external bounded disturbances and input bounded disturbances and unknown velocities. Based on the Lyapunov finite-time theorem, a novel finite-time consensus control is constructed by using the backstepping method. For unknown velocities, the high-gain observer is used to estimate the velocity information. It is proved that the consensus can be achieved in finite time. The consensus shows fast response and strong robustness to various disturbances. Finally, the effectiveness of the results is illustrated by numerical simulations.

[1]  Dan Zhang,et al.  Leader-follower H∞ consensus of linear multi-agent systems with aperiodic sampling and switching connected topologies. , 2017, ISA transactions.

[2]  Guanghui Wen,et al.  Distributed finite-time tracking control for multi-agent systems: An observer-based approach , 2013, Syst. Control. Lett..

[3]  Wei Ren,et al.  Distributed consensus of linear multi-agent systems with adaptive dynamic protocols , 2011, Autom..

[4]  Dennis S. Bernstein,et al.  Finite-Time Stability of Continuous Autonomous Systems , 2000, SIAM J. Control. Optim..

[5]  Zongyu Zuo,et al.  Distributed robust finite-time nonlinear consensus protocols for multi-agent systems , 2016, Int. J. Syst. Sci..

[6]  Yuanqing Xia,et al.  Attitude stabilization of rigid spacecraft with finite‐time convergence , 2011 .

[7]  Fumitoshi Matsuno,et al.  Finite-time observers for multi-agent systems without velocity measurements and with input saturations , 2014, Syst. Control. Lett..

[8]  Richard M. Murray,et al.  Consensus problems in networks of agents with switching topology and time-delays , 2004, IEEE Transactions on Automatic Control.

[9]  Feng Gao,et al.  Robust finite-time control approach for robotic manipulators , 2010 .

[10]  S. Bhat,et al.  Finite-time stability of homogeneous systems , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[11]  Tie Zhang,et al.  Continuous output‐feedback finite‐time control for a class of second‐order nonlinear systems with disturbances , 2016 .

[12]  Guanghui Wen,et al.  Distributed finite-time tracking of multiple non-identical second-order nonlinear systems with settling time estimation , 2016, Autom..

[13]  Wei Xing Zheng,et al.  Distributed control gains design for consensus in multi-agent systems with second-order nonlinear dynamics , 2013, Autom..

[14]  Guanghui Wen,et al.  Distributed finite-time tracking for a multi-agent system under a leader with bounded unknown acceleration , 2015, Syst. Control. Lett..

[15]  Shihua Li,et al.  Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics , 2011, Autom..

[16]  Jiangping Hu,et al.  Tracking control for multi-agent consensus with an active leader and variable topology , 2006, Autom..

[17]  Gang Feng,et al.  Leader-follower consensus of time-varying nonlinear multi-agent systems , 2015, Autom..

[18]  Hassan K. Khalil,et al.  Output feedback stabilization using variable structure control , 1995 .

[19]  S. Bhat,et al.  Continuous finite-time stabilization of the translational and rotational double integrators , 1998, IEEE Trans. Autom. Control..

[20]  Zhong-Ping Jiang,et al.  Global robust distributed output consensus of multi-agent nonlinear systems: An internal model approach , 2016, Syst. Control. Lett..

[21]  Yu Zhao,et al.  Finite-time containment control without velocity and acceleration measurements , 2015 .

[22]  Bin Hu,et al.  Multi-formation control of nonlinear leader-following multi-agent systems. , 2017, ISA transactions.

[23]  Wei Lin,et al.  A continuous feedback approach to global strong stabilization of nonlinear systems , 2001, IEEE Trans. Autom. Control..

[24]  Changchun Hua,et al.  Finite-time consensus tracking of second-order multi-agent systems via nonsingular TSM , 2014 .

[25]  Jiangping Hu,et al.  Distributed tracking control of leader-follower multi-agent systems under noisy measurement , 2011, Autom..

[26]  Zhihong Man,et al.  Robust Finite-Time Consensus Tracking Algorithm for Multirobot Systems , 2009, IEEE/ASME Transactions on Mechatronics.

[27]  Yingmin Jia,et al.  Adaptive finite-time bipartite consensus for second-order multi-agent systems with antagonistic interactions , 2017, Syst. Control. Lett..

[28]  Xin-Ping Guan,et al.  Finite-time consensus control for second-order multi-agent systems without velocity measurements , 2017, Int. J. Syst. Sci..

[29]  Yongduan Song,et al.  Adaptive finite-time consensus control of a group of uncertain nonlinear mechanical systems , 2015, Autom..

[30]  Wei Ren,et al.  Information consensus in multivehicle cooperative control , 2007, IEEE Control Systems.

[31]  V. Haimo.  Finite time controllers , 1986 .

[32]  Wei Lin,et al.  Global finite-time stabilization of a class of uncertain nonlinear systems , 2005, Autom..

[33]  Qingyun Wang,et al.  Distributed finite-time leaderless consensus control for double-integrator multi-agent systems with external disturbances , 2017, Appl. Math. Comput..

[34]  Guanghui Wen,et al.  Distributed finite‐time tracking of multiple Euler–Lagrange systems without velocity measurements , 2015 .

[35]  Qingrong Liu,et al.  Finite-time consensus of time-varying nonlinear multi-agent systems , 2016, Int. J. Syst. Sci..

[36]  Myung-Gon Yoon.  Consensus of adaptive multi-agent systems , 2017, Syst. Control. Lett..

[37]  Sanjay P. Bhat,et al.  Finite-Time Semistability and Consensus for Nonlinear Dynamical Networks , 2008, IEEE Transactions on Automatic Control.