Adaptive distributed formation control for multiple nonholonomic wheeled mobile robots

This paper investigates the adaptive distributed formation control problem for multiple nonholonomic wheeled mobile robots. First, the formation control problem is converted into a state consensus problem by the aid of a variable transformation. Then, distributed kinematic controllers and adaptive dynamic controllers are developed for each robot such that a group of nonholonomic mobile robots asymptotically converge to a desired geometric pattern with its centroid moving along the specified reference trajectory. The specified reference trajectory is assumed to be the trajectory of a virtual leader whose information is available to only a subset of the followers. Also the followers are assumed to have only local interaction. Some sufficient conditions are derived for accomplishing the asymptotically stability of the systems based on algebraic graph theory, matrix theory, and Lyapunov control approach. Finally, simulation examples illustrate the effectiveness of the proposed controllers. HighlightsAdaptive distributed formation control for multiple nonholonomic wheeled mobile robots is investigated.Formation control problem is converted to a state consensus problem via a variable transformation.The specified reference trajectory is assumed to be the trajectory of a virtual leader whose information is available to only a subset of the followers.Distributed kinematic controllers are designed for guaranteeing to reach desired formation.Adaptive dynamic controllers are proposed for guaranteeing mobile robots to track theirs desired kinematic inputs.

[1]  Reza Olfati-Saber,et al.  Flocking for multi-agent dynamic systems: algorithms and theory , 2006, IEEE Transactions on Automatic Control.

[2]  Wenjie Dong,et al.  Tracking Control of Multiple-Wheeled Mobile Robots With Limited Information of a Desired Trajectory , 2012, IEEE Transactions on Robotics.

[3]  Camillo J. Taylor,et al.  A vision-based formation control framework , 2002, IEEE Trans. Robotics Autom..

[4]  B. Paden,et al.  Lyapunov stability theory of nonsmooth systems , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[5]  Jay A. Farrell,et al.  Cooperative Control of Multiple Nonholonomic Mobile Agents , 2008, IEEE Transactions on Automatic Control.

[6]  Ahmed Rahmani,et al.  Planning and control of three-dimensional multi-agent formations , 2013, IMA J. Math. Control. Inf..

[7]  Amit Ailon,et al.  Mobile robot characterized by dynamic and kinematic equations and actuator dynamics: Trajectory tracking and related application , 2011, Robotics Auton. Syst..

[8]  Long Wang,et al.  Flocking of multi-agent systems with a dynamic virtual leader , 2009, Int. J. Control.

[9]  S. Sastry,et al.  A calculus for computing Filippov's differential inclusion with application to the variable structure control of robot manipulators , 1987 .

[10]  Fumio Miyazaki,et al.  A stable tracking control method for an autonomous mobile robot , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[11]  Vijay Kumar,et al.  Modeling and control of formations of nonholonomic mobile robots , 2001, IEEE Trans. Robotics Autom..

[12]  Domenico Prattichizzo,et al.  Discussion of paper by , 2003 .

[13]  Xiaoming Hu,et al.  Formation constrained multi-agent control , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[14]  Helder Araújo,et al.  Simulating pursuit with machine experiments with robots and artificial vision , 1998, IEEE Trans. Robotics Autom..

[15]  Norihiko Adachi,et al.  Adaptive tracking control of a nonholonomic mobile robot , 2000, IEEE Trans. Robotics Autom..

[16]  Jian Chen,et al.  Leader-Follower Formation Control of Multiple Non-holonomic Mobile Robots Incorporating a Receding-horizon Scheme , 2010, Int. J. Robotics Res..

[17]  ZoharIlan,et al.  Mobile robot characterized by dynamic and kinematic equations and actuator dynamics , 2011 .

[18]  Timothy Bretl,et al.  Kinematic and dynamic control of a wheeled mobile robot , 2007, 2007 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[19]  Jin Bae Park,et al.  Adaptive Formation Control of Electrically Driven Nonholonomic Mobile Robots With Limited Information , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[20]  Shihua Li,et al.  Finite‐time formation control of multiple nonholonomic mobile robots , 2014 .

[21]  Jinde Cao,et al.  Finite-time synchronization of coupled neural networks via discontinuous controllers , 2011, Cognitive Neurodynamics.

[22]  Dongkyoung Chwa,et al.  Hierarchical Formation Control Based on a Vector Field Method for Wheeled Mobile Robots , 2012, IEEE Transactions on Robotics.

[23]  Ahmed Rahmani,et al.  Distributed leader-following consensus for second-order multi-agent systems with nonlinear inherent dynamics , 2014, Int. J. Syst. Sci..

[24]  Kar-Han Tan,et al.  High Precision Formation Control of Mobile Robots Using Virtual Structures , 1997, Auton. Robots.

[25]  Guo-Xing Wen,et al.  Adaptive NN consensus tracking control of a class of nonlinear multi-agent systems , 2015, Neurocomputing.

[26]  Richard M. Murray,et al.  Information flow and cooperative control of vehicle formations , 2004, IEEE Transactions on Automatic Control.

[27]  Y. Choi,et al.  Robust adaptive formation control and collision avoidance for electrically driven non-holonomic mobile robots , 2011 .

[28]  Ahmed Rahmani,et al.  Distributed consensus-based formation control for multiple nonholonomic mobile robots with a specified reference trajectory , 2015, Int. J. Syst. Sci..

[29]  Shihua Li,et al.  Finite-time tracking control for multiple non-holonomic mobile robots based on visual servoing , 2013, Int. J. Control.

[30]  Huanyu Zhao,et al.  Distributed output feedback consensus of discrete-time multi-agent systems , 2014, Neurocomputing.

[31]  Tucker R. Balch,et al.  Behavior-based formation control for multirobot teams , 1998, IEEE Trans. Robotics Autom..

[32]  Ahmed Rahmani,et al.  Leader-follower formation control of nonholonomic mobile robots based on a bioinspired neurodynamic based approach , 2013, Robotics Auton. Syst..

[33]  Randal W. Beard,et al.  A decentralized approach to formation maneuvers , 2003, IEEE Trans. Robotics Autom..

[34]  Zengqiang Chen,et al.  Formation control for nonlinear multi-agent systems by robust output regulation , 2014, Neurocomputing.

[35]  J. Cortés.  Discontinuous dynamical systems , 2008, IEEE Control Systems.

[36]  Miguel Hernando,et al.  A behaviour-based control architecture for heterogeneous modular, multi-configurable, chained micro-robots , 2012, Robotics Auton. Syst..

[37]  Jay A. Farrell,et al.  Decentralized cooperative control of multiple nonholonomic dynamic systems with uncertainty , 2009, Autom..

[38]  Ahmed Rahmani,et al.  Leader-follower formation control of multiple nonholonomic robots based on backstepping , 2013, SAC '13.

[39]  Frank L. Lewis,et al.  Control of a nonholonomic mobile robot using neural networks , 1998, IEEE Trans. Neural Networks.