GPS-Based Path Following Control for a Car-Like Wheeled Mobile Robot With Skidding and Slipping

Most wheeled mobile robot (WMR) controllers have been developed based on nonskidding and nonslipping assumptions. Unfortunately, wheel skidding and slipping are inevitable due to wheel tire-deformation; consequently, the stability and performance of these controllers are not guaranteed. This brief aims to develop a global positioning system (GPS)-based path following a controller for a car-like wheeled mobile robot in the presence of wheel skidding and slipping. The proposed control scheme uses real-time kinematic (RTK)-GPS and other aiding sensors to measure the WMR's posture, velocities, and perturbations due to wheel skidding and slipping. These measurements are applied to compensate the path following errors based on a backstepping controller. The reported experimental results validate the control scheme. With this solution, the WMR is able to maneuver with better precision in outdoor environments in the presence of wheel skidding and slipping.

[1]  Philippe Martinet,et al.  A new nonlinear control for vehicle in sliding conditions: application to automatic guidance of farm vehicles using RTK GPS , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[2]  Danwei Wang,et al.  Modeling Skidding and Slipping in Wheeled Mobile Robots: Control Design Perspective , 2006, 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[3]  Georges Bastin,et al.  Control of Nonholonomic Wheeled Mobile Robots by State Feedback Linearization , 1995, Int. J. Robotics Res..

[4]  O. J. Sordalen,et al.  Exponential stabilization of mobile robots with nonholonomic constraints , 1992 .

[5]  B. d'Andrea-Novel,et al.  Modeling and control of wheeled mobile robots not satisfying ideal velocity constraints: the unicycle case , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[6]  A. Astolfi Discontinuous control of nonholonomic systems , 1996 .

[7]  Frank L. Lewis,et al.  Control of a nonholonomic mobile robot: backstepping kinematics into dynamics , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[8]  A. Bloch,et al.  Control and stabilization of nonholonomic dynamic systems , 1992 .

[9]  G. Campion,et al.  Control of Wheeled Mobile Robots Not Satisfying Ideal Velocity Constraints - a Singular Perturbation Approach , 1995 .

[10]  Henk Nijmeijer,et al.  Tracking Control of Mobile Robots: A Case Study in Backstepping , 1997, Autom..

[11]  D. Mayne Nonlinear and Adaptive Control Design [Book Review] , 1996, IEEE Transactions on Automatic Control.

[12]  Frank L. Lewis,et al.  Control of a nonholomic mobile robot: Backstepping kinematics into dynamics , 1997 .

[13]  Philippe Martinet,et al.  Trajectory tracking control of farm vehicles in presence of sliding , 2005, IROS.

[14]  Maria Letizia Corradini,et al.  Experimental testing of a discrete-time sliding mode controller for trajectory tracking of a wheeled mobile robot in the presence of skidding effects , 2002, J. Field Robotics.

[15]  Philippe Martinet,et al.  Automatic guidance of a farm tractor along curved paths, using a unique CP-DGPS , 2001, Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180).

[16]  Philippe Martinet,et al.  Adaptive and predictive non linear control for sliding vehicle guidance: application to trajectory tracking of farm vehicles relying on a single RTK GPS , 2004, 2004 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) (IEEE Cat. No.04CH37566).

[17]  Philippe Martinet,et al.  Robust Adaptive Control of Automatic Guidance of Farm Vehicles in the Presence of Sliding , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[18]  Claude Samson,et al.  Velocity and torque feedback control of a nonholonomic cart , 1991 .

[19]  C. Samson Control of chained systems application to path following and time-varying point-stabilization of mobile robots , 1995, IEEE Trans. Autom. Control..

[20]  Yuan F. Zheng,et al.  Recent Trends in Mobile Robots , 1994 .

[21]  Chang Boon Low,et al.  Robust path following of car-like WMR in the presence of skidding effects , 2005, IEEE International Conference on Mechatronics, 2005. ICM '05..

[22]  Zhong-Ping Jiang,et al.  A recursive technique for tracking control of nonholonomic systems in chained form , 1999, IEEE Trans. Autom. Control..

[23]  Warren E. Dixon,et al.  Nonlinear Control of Wheeled Mobile Robots , 2001 .

[24]  Guy Campion,et al.  A slow manifold approach for the control of mobile robots not satisfying the kinematic constraints , 2000, IEEE Trans. Robotics Autom..

[25]  Maria Letizia Corradini,et al.  Robust stabilization of a mobile robot violating the nonholonomic constraint via quasi-sliding modes , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[26]  D. Dawson,et al.  Robust control of a mobile robot system with kinematic disturbances , 2000, Proceedings of the 2000. IEEE International Conference on Control Applications. Conference Proceedings (Cat. No.00CH37162).

[27]  Danwei Wang,et al.  Full state tracking and internal dynamics of nonholonomic wheeled mobile robots , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).