Trajectory tracking for a mobile robot with skid-slip compensation in the Vector-Field-Orientation control system
Maciej Michałek ; Piotr Dutkiewicz ; Marcin Kiełczewski ; Dariusz Pazderski
International Journal of Applied Mathematics and Computer Science, Tome 19 (2009), p. 547-559 / Harvested from The Polish Digital Mathematics Library

The article is devoted to a motion control problem for a differentially driven mobile robot in the task of trajectory tracking in the presence of skid-slip effects. The kinematic control concept presented in the paper is the Vector Field Orientation (VFO) feedback approach with a nonlinear feed-forward skid-slip influence compensation scheme. The VFO control law guarantees asymptotic convergence of the position tracking error to zero in spite of the disturbing influence of skid-slip phenomena. The paper includes a control law design description, stability and convergence analysis of a closed-loop system, and practical verification of the proposed control concept. The experimental results illustrate control quality obtained on a laboratory setup equipped with vision feedback, where the Kalman filter algorithm was used in order to practically estimate skid-slip components.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:207954
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     author = {Maciej Micha\l ek and Piotr Dutkiewicz and Marcin Kie\l czewski and Dariusz Pazderski},
     title = {Trajectory tracking for a mobile robot with skid-slip compensation in the Vector-Field-Orientation control system},
     journal = {International Journal of Applied Mathematics and Computer Science},
     volume = {19},
     year = {2009},
     pages = {547-559},
     zbl = {1300.93121},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv19i4p547bwm}
}
Maciej Michałek; Piotr Dutkiewicz; Marcin Kiełczewski; Dariusz Pazderski. Trajectory tracking for a mobile robot with skid-slip compensation in the Vector-Field-Orientation control system. International Journal of Applied Mathematics and Computer Science, Tome 19 (2009) pp. 547-559. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv19i4p547bwm/

[000] Bar-Shalom, Y., Li, X. R. and Kirubarajan, T. (2001). Estimation with Applications to Tracking and Navigation, WileyInterscience, New York, NY.

[001] Corradini, M. L., Leo, T. and Orlando, G. (1999). Robust stabilization of a mobile robot violating the nonholonomic constraint via quasi-sliding modes, Proceedings of the American Control Conference, San Diego, CA, USA, pp. 39353939.

[002] Dixon, W. E., Dawson, D. M. and Zergeroglu, E. (2000). Tracking and regulation control of a mobile robot system with kinematic disturbances: A variable structure-like approach, Journal of Dynamic Systems, Measurement and Control 122(4): 616-623.

[003] Fukao, T., Miyasaka, S., Mori, K., Adachi, N. and Osuka, K. (2001). Active steering systems based on model reference adaptive nonlinear control, Proceedings of the IEEE Intelligent Transportation Systems Conference, Oakland, CA, USA, pp. 502-507.

[004] Khalil, H. K. (2002). Nonlinear Systems. 3rd Edn., PrenticeHall, Upper Saddle River, NJ. | Zbl 1003.34002

[005] Kiencke, U. and Nielsen, L. (2000). Automotive Control Systems, Springer-Verlag, Berlin.

[006] Lenain, R., Thuilot, B., Cariou, C. and Martinet, P. (2006). High accuracy path tracking for vehicles in presence od sliding: Application to farm vehicle automatic guidance for agricultural tasks, Autonomous Robots 21(1): 79-97.

[007] Leroquais, W. and dAndrea Novel, B. (1996). Modeling and control of wheeled mobile robots not satisfying ideal velocity constraints: the unicycle case, Proceedings of the 35th Conference on Decision and Control, Kobe, Japan, pp. 1437-1442.

[008] Lewis, A. D. (1999). When is a mechanical control system kinematic? Proceedings of the 38th Conference on Decision and Control, Phoenix, AZ, USA, pp. 1162-1167.

[009] Lhomme-Desages, D., Grand, C. and Guinot, J.-C. (2007). Trajectory control of a four-wheel skid-steering vehicle over soft terrain using physical interaction model, Proceedings of the IEEE International Conference on Robotics and Automation, Rome, Italy, pp. 1164-1169.

[010] Mi, C., Lin, H. and Zhang, Y. (2005). Iterative learning control of antilock braking of electric and hybrid vehicles, IEEE Transactions on Vehicular Technology 54(2): 486-494.

[011] Michałek, M. (2007). VFO control for mobile vehicles in the presence of skid phenomenon, Robot Motion and Control 2007, Lecture Notes in Control and Information Sciences, Vol. 360, Springer, pp. 57-66.

[012] Michałek, M. and Kozłowski, K. (2009). Vector-field-orientation feedback control method for a differentially-driven vehicle, IEEE Transactions on Control Systems Technology, DOI: 10.1109/TCST.2008.2010406, (in print).

[013] Motte, I. and Campion, G. (2000). A slow manifold approach for the control of mobile robots not satisfying the kinematic constraints, IEEE Transactions on Robotics and Automation 16(6): 875-880.

[014] Pacejka, H. B. (2002). Tyre and Vehicle Dynamics, Butterworth-Heinemann. | Zbl 0997.74044

[015] Pazderski, D. and Kozłowski, K. (2008). Trajectory tracking control of skid-steering robot-Experimental validation, Proceedings of the 17th World Congress, International Federation of Automatic Control, Seoul, Korea, pp. 5377-5382.

[016] Peng, S.-T., Sheu, J.-J. and Chang, C.-C. (2004). On one approach to constraining wheel slip for the autonomus control of a 4ws/4wd, Proceedings of the International Conference on Control Applications, Taipei, Taiwan, pp. 1254-1259.

[017] Wang, D. and Low, C. B. (2008). Modeling and analysis of skidding and slipping in wheeled mobile robots: Control design perspective, IEEE Transactions on Robotics 24(3): 676-687.

[018] Wong, J. Y. (2001). Theory of Ground Vehicles, John Wiley & Sons, Inc., Ottawa.

[019] Zong, Z., Zweiri, Y. H. and Seneviratne, L. D. (2006). Nonlinear observer for slip estimation of skid-steering vehicles, Proceedings of the IEEE International Conference on Robotics and Automation, Orlando, FL, USA, pp. 1499-1504.