Abstract
Wheel slip is inevitable when a Wheeled Mobile Robot (WMR) is moving at a high speed or on a slippery surface. In particular, when neither lateral nor longitudinal slips can be ignored in the dynamic model, a WMR becomes an under-actuated nonlinear dynamic system. To study the maneuverability of a WMR in such a realistic environment, we model the overall WMR dynamics subject to wheel slip and propose control algorithms in regulation control and turning control tasks for the WMR. In regulation control, a time-invariant discontinuous feedback law is developed to asymptotically stabilize the system to the desired configuration with exponential convergence rate. In turning control, a sliding mode-based extremum seeking control technique is applied to achieve stable and sharp turning. Simulation results are presented to validate the theoretical results.
Similar content being viewed by others
References
Motte, I., Campion, I.: A slow manifold approach for the control of mobile robots not satisfying the kinematic constraints. IEEE Trans. Robot. Autom. 16(6), 875–880 (2000)
Lin, W.-S., Chang, L.-H., Yang, P.-C.: Adaptive critic anti-slip control of wheeled autonomous robot. Control Theory Appl. IET. 1(1), 51–57 (2007)
Tarokh, M., McDermott, G.J.: Kinematics modeling and analyses of articulated rover. IEEE Trans. Robot. 21(4), 539–553 (2005)
Dixon, W.E., Dawson, D.M., Zergeroglu, E.: Robust control of a mobile robot system with kinematic disturbance. In: IEEE Int. Conference on Control Applications, pp. 437–442 (2000)
Zhang, Y., Chung, J.H., Velinsky, S.A.: Variable structure control of a differentially steered wheeled mobile robot. J. Intell. Robot. Syst. 36(3), 301–314 (2003)
Michalek, M.M., Dutkiewicz, P., Kielczewski, M., Pazderski, D.: Vector-field-orientation tracking control for a mobile vehicle disturbed by the skid-slip phenomena. J. Intell. Robot. Syst. 59(304), 341–365 (2010)
Balakrishna, R., Ghosal, A.: Modeling of slip for wheeled mobile robot. IEEE Trans. Robot. Autom. 11(1), 126–132 (1995)
Jung, S., Hsia, T.C.: Explicit lateral force control of an autonomous mobile robot with slip. In: IEEE/RSJ Int. Conf. on Intelligent Robots and Systems, IROS, pp. 388–393 (2005)
Stonier, D., Se, H.C., Sung-Lok, C., Kuppuswamy, N.S., Jong-Hwan, K.: Nonlinear slip dynamics for an omni-wheel mobile robot platform. In: IEEE Int. Conf. on Robotics and Automation, pp. 2367–2372 (2007)
Ploeg, J., Schouten, H.E., Nijmeijer, H.: Control design for a mobile robot including tire behavior. In: 2008 IEEE Intelligent Vehicles Symposium, pp. 240–245. Eindhoven, The Netherlands, 4–6 June 2008
Lagerberg, A., Egardt, B.: Backlash estimation with application to automotive powertrains. IEEE Trans. Control Syst. Technol. 15(3), 483–493 (2007)
Verma, R., Vecchio, D., Fathy, H.: Development of a scaled vehicle with longitudinal dynamics of an HMMWV for an ITS testbed. IEEE/ASME Trans. Mechatron. 13(1), 46–57 (2008)
Kyung-Ho, B.: Development of dynamics modeling in the vehicle simulator for road safety analysis. In: Annual Conference SICE07, pp. 649–653 (2007)
Der-Chen, L., Wen-Ching, C.: Control design for vehicle’s lateral dynamics. In: IEEE Int. Conf. on Systems, Man and Cybernetics, ICSMC ’06, vol. 3, pp. 2081–2086 (2006)
Reyhanoglu, M.: Exponential stabilization of an underactuated autonomous surface vessel. Automatica 33(12), 2249–2254 (1997)
Drakunov, S., Ozguner, U., Dix, P., Ashrafi, B.: ABS control using optimum search via sliding modes. IEEE Trans. Control Syst. Technol. 3(1), 79–85 (1995)
Sidek, N.: Dynamic modeling and control of nonholonomic wheeled mobile robot subjected to wheel slip. Ph.D. thesis, Vanderbilt University, USA (2008)
Ward, C.C., Iagnemma, K.: Model-based wheel slip detection for outdoor mobile robots. In: IEEE Int. Conf. on Robotics and Automation, pp. 2724–2729 (2007)
Angelova, A., Matthies, L., Helmick, D.M., Sibley, G., Perona, P.: Learning to predict slip for ground robots. In: Proc. of IEEE Int. Conf. on Robotics and Automation, pp. 3324–3331 (2006)
Seyr, M., Jakubek S.: Proprioceptive navigation, slip estimation and slip control for autonomous wheeled mobile robot. In: IEEE Conf. on Robotics, Automation and Mechatronics, pp. 1–6 (2006)
Germann, M., Wurtenberger, A., Daiss, A.: Monitoring of the friction coefficient between tyre and road surface. In: Proc. of the Third IEEE Conf. on Control Applications, pp. 613–618, 1 Aug 1994
Li, L., Wang, F.Y.: Integrated longitudinal and lateral tire/road friction modeling and monitoring for vehicle motion control. IEEE Trans. Intell. Transp. Syst. 7(1), 1–9 (2006)
Bakker, E., Nyborg, L., Pacejka, H.B.: Tire modeling for the use of the vehicle dynamics studies. SAE paper 870421 (1987)
Fierro, R., Lewis, F.L.: Control of a nonholonomic mobile robot: backstepping kinematics into dynamics. J. Robot. Syst. 14(3), 149–163 (1997)
Fukao, T., Nakagawa, H., Adachi, N.: Adaptive tracking control of a nnholonomic mobile robot. IEEE Trans. Robot. Autom. 16(5), 609–615 (2000)
Jiang, Z.-P., Nijmeijer, H.: Tracking control of mobile robots: a case study in backstepping. Automatica 33(7), 1393–1399 (1997)
Do, K.D., Jiang, Z.-P., Pan, J.: A global output-feedback controller for simultaneous tracking and stabilization of unicycle-type mobile robots. IEEE Trans. Robot. Autom. 20(3), 589–594 (2004)
Mazenc, F., Pettersen, K., Nijmeijer, H.: Global uniform asymptotic stabilization of an underactuated surface vessel. IEEE Trans. Autom. Control. 47(10), 1759–1762 (2002)
Dong, W., Guo, Y.: Global time-varying stabilization of underactuated surface vessel. IEEE Trans. Autom. Control 50(6), 859–864 (2005)
Ghommam, J., Mnif, F., Benali, A., Derbel, N.: Asymptotic backstepping stabilization of an underactuated surface vessel. IEEE Trans. Control Syst. Technol. 14(6), 1150–1157 (2006)
Behal, A., Dawson, D.M., Dixon, W.E., Fang, Y.: Tracking and regulation control of an underactuated surface vessel with nonintegrable dynamics. IEEE Trans. Autom. Control. 47(3), 495–500 (2002)
Slotine, J.-J.E., Li, W.: Applied Nonlinear Control. Prentice-Hall, Englewood Cliffs, NJ (1991)
Tian, Y., Sarkar, N.: Near-optimal autonomous pursuit evasion for nonholonomic wheeled mobile robot subject to wheel slip. In: IEEE International Conference on Robotics and Automation, pp. 4946–4951. Anchorage, USA (2010)
Yu, H., Ozguner, U.: Extremum-seeking control stragegy for ABS system with time delay. Proc. Am. Control Conf. 5, 3753–3758 (2002)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Tian, Y., Sarkar, N. Control of a Mobile Robot Subject to Wheel Slip. J Intell Robot Syst 74, 915–929 (2014). https://doi.org/10.1007/s10846-013-9871-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10846-013-9871-1