Guided Formation Control for Wheeled Mobile Robots

This paper considers the topic of formation control for wheeled mobile robots (WMRs). Specifically, the work deals with unicycle-type WMRs (i.e., underactuated vehicles that experience a lateral zero-speed constraint, such that their linear velocity at all times is aligned with the longitudinal axis of symmetry). Within a leader-follower framework, a so-called guided formation control scheme is developed by means of a modular design procedure which is inspired by concepts from integrator backstepping and cascade theory. Control, guidance, and synchronization laws ensure that each individual formation member is able to converge to and maintain its assigned formation position such that the overall formation is able to assemble and maintain itself while traversing a regularly parameterized path that is chosen by a formation control designer. The proposed version of the guided approach is completely decentralized in the sense that no variables need to be communicated between the formation members (hence, the formation suffers from graceful degradation). A key quality of the suggested scheme is helmsman-like transient motion behavior, which is illustrated through a computer simulation involving three unicycle-type WMRs

[1]  William B. Dunbar,et al.  Model predictive control of coordinated multi-vehicle formations , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[2]  S. Shankar Sastry,et al.  Formation control of nonholonomic mobile robots with omnidirectional visual servoing and motion segmentation , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[3]  H. Nijmeijer,et al.  Group coordination and cooperative control , 2006 .

[4]  S. Chiaverini,et al.  Experiments of Formation Control with Collisions Avoidance using the Null-Space-Based Behavioral Control , 2006, 2006 14th Mediterranean Conference on Control and Automation.

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

[6]  O. J. Sørdalen,et al.  Exponential stabilization of nonholonomic chained systems , 1995, IEEE Trans. Autom. Control..

[7]  George A. Bekey,et al.  AUTONOMOUS ROBOTS, From Biological Inspiration to Implementation and Control, by G.A. Bekey, MIT Press, 2005, xv + 577 pp., index, ISBN 0-262-02578-7, 25 pages of references (Hb. £35.95) , 2005, Robotica.

[8]  I. Kaminer,et al.  Coordinated Path Following Control of Multiple Wheeled Robots with Directed Communication Links , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[9]  Miroslav Krstic,et al.  Nonlinear and adaptive control de-sign , 1995 .

[10]  Petter Ögren,et al.  A control Lyapunov function approach to multi-agent coordination , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[11]  Xiaoming Hu,et al.  A control Lyapunov function approach to multiagent coordination , 2002, IEEE Trans. Robotics Autom..

[12]  Maja J. Mataric,et al.  Behaviour-based control: examples from navigation, learning, and group behaviour , 1997, J. Exp. Theor. Artif. Intell..

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

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

[15]  Hongyan Wang,et al.  Social potential fields: A distributed behavioral control for autonomous robots , 1995, Robotics Auton. Syst..

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

[17]  P.J. Antsaklis,et al.  Decentralized Formation Tracking of Multi-vehicle Systems with Nonlinear Dynamics , 2006, 2006 14th Mediterranean Conference on Control and Automation.

[18]  Elena Panteley,et al.  Exponential tracking control of a mobile car using a cascaded approach , 1998 .

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