Fixed-Time Formation Control of Multi-Robot Systems: Design and Experiments

Chunyan Wang, Hilton Tnunay, Zongyu Zuo, Barry Lennox, Zhengtao Ding
2018 IEEE transactions on industrial electronics (1982. Print)  
Time delays exist in network-connected systems. Especially for vision-based multi-robot systems, time delays are diverse and complicated due to the communication network, camera latency, image processing, etc. At the same time, many tasks, such as searching and rescue, have timing requirement. This paper focuses on fixed-time formation control of multirobot systems subject to delay constraints. First, predictorbased state transformation is employed for each robot to deal with the input delay
more » ... the uncertain terms remained in the transformed systems are carefully considered. Then, a couple of nonlinear fixed-time formation protocols are proposed for the multi-robot systems with respectively undirected and directed topology, and the corresponding settling time is derived by using the Lyapunov functions. In particular, the upper-bound estimation of the formation settling time is explicitly given irrelevant to the initial conditions. Finally, the protocols are validated through a numerical simulation example and then implemented on an E-puck robots platform. Both simulation and experimental results demonstrate the effectiveness of the proposed formation protocols.
doi:10.1109/tie.2018.2870409 fatcat:2ty3lbks3befraormlsvbyd44y