Experimental Implementation of Fixed-Time Leader-Follower Axial Alignment Tracking

In this paper, the fixed-time leader-follower axial alignment tracking problem for a group of cooperative agents is investigated. The leader is dynamic and only transmits its position and velocity to its neighbors. A fixed-time algorithm is proposed to solve the consensus tracking problem. Each follower estimates the leader state in a fixed-time using distributed observers. To solve the consensus problem, based on the leader estimate, the followers collectively align their positions with the leader position in a fixed-time which does not depend on the initial positions. The experimental results show the effectiveness and robustness of the proposed fixed-time leader-follower consensus algorithm even in the presence of physical limitations such as packet loss, information delay, etc.

[1]  Brian D. O. Anderson,et al.  The Multi-Agent Rendezvous Problem. Part 2: The Asynchronous Case , 2007, SIAM J. Control. Optim..

[2]  M. Djemai,et al.  Development of a wireless communication platform for multiple-mobile robots using ROS , 2018, 2018 6th International Conference on Control Engineering & Information Technology (CEIT).

[3]  Michael Defoort,et al.  Control strategy for fixed-time leader–follower consensus for multi-agent systems with chained-form dynamics , 2019 .

[4]  Guanghui Wen,et al.  Distributed node‐to‐node consensus of multi‐agent systems with stochastic sampling , 2016 .

[5]  Andrey Polyakov,et al.  Nonlinear fixed-time control protocol for uniform allocation of agents on a segment , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

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

[7]  Deming Liu,et al.  Flocking in target pursuit for multi-agent systems with partial informed agents , 2012 .

[8]  Zengqiang Chen,et al.  Flocking of multi-agents with nonlinear inner-coupling functions , 2010 .

[9]  Andrey Polyakov,et al.  Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems , 2012, IEEE Transactions on Automatic Control.

[10]  Saleh Mobayen,et al.  Finite-time tracking control of chained-form nonholonomic systems with external disturbances based on recursive terminal sliding mode method , 2015 .

[11]  Michael Defoort,et al.  Sliding-Mode Formation Control for Cooperative Autonomous Mobile Robots , 2008, IEEE Transactions on Industrial Electronics.

[12]  Aleksej F. Filippov,et al.  Differential Equations with Discontinuous Righthand Sides , 1988, Mathematics and Its Applications.

[13]  Mehran Mesbahi,et al.  On maximizing the second smallest eigenvalue of a state-dependent graph Laplacian , 2006, IEEE Transactions on Automatic Control.

[14]  Siavash Khosravi,et al.  Adaptive Fuzzy SMC-Based Formation Design for Swarm of Unknown Time-Delayed Robots , 2012 .

[15]  Housheng Su,et al.  Global coordinated tracking of multi-agent systems with disturbance uncertainties via bounded control inputs , 2015 .

[16]  Christos G. Cassandras,et al.  Optimal dynamic formation control of multi-agent systems in constrained environments , 2016, Autom..

[17]  Leonid M. Fridman,et al.  Stability notions and Lyapunov functions for sliding mode control systems , 2014, J. Frankl. Inst..

[18]  Dennis S. Bernstein,et al.  Geometric homogeneity with applications to finite-time stability , 2005, Math. Control. Signals Syst..

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

[20]  Hyo-Sung Ahn,et al.  A survey of multi-agent formation control , 2015, Autom..