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This paper addresses the problem of the adaptive stabilization of a nonholonomic mobile robot. A discontinuous adaptive state feedback controller is derived to achieve global stability and convergence of the trajectories of the closed loop system in the presence of parameter modeling uncertainty. This task is achieved by a non smooth transformation in the original system followed by the derivation of smooth time invariant control in the new coordinates. The stability and convergence analysis is built on Lyapunov stability theory.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
219--229
Opis fizyczny
Bibliogr. 9 poz., rys.
Bibliografia
- [1] R. D. Schraft and G. Schmierer: Serviceroboter. Springer Verlag, 1998.
- [2] J. C. Alexander and J. H. Maddocks: On the kinematics of wheeled mobile robot. International Journal of Robotics Research. 8(5), (1989), 15-27.
- [3] J. I. Neimark and F. A. Fufaev: Dynamics of Nonholonomic Systems. American Mathematical Society, Providence, RI, 1972.
- [4] G. Campion, B. d’Andrea-Novel and G. Bastin: Modeling and state feedback control of nonholonomic mechanical systems. Proc. of the 30th IEEE Conf. on Decision and Control, Brighton, UK, (1991), 1184-1189.
- [5] C. Samson and K. Ait-Abderrahim: Feedback control of a nonholonomic wheeled cart in Cartesian space. Proc. of the IEEE International Conference on Robotics and Automation, Sacramento, CA, (1991), 1136-1141.
- [6] A. de Luca and M. D. di Benedetto: Control of nonholonomic systems via dynamic compensation. Kybernetica, 29(6), (1993).
- [7] B. d’Andrea-Novel, G. Campion: Control of nonholonomic wheeled mobile robots by state feedback linearization. International Journal of Robotics Research, 14(6), (1995), 543-559.
- [8] Z-P. Jiang and H. Nijimer: A recursive technique for tracking control of nonholonomic systems in chained form. IEEE Transactions on Automatic Control, 44(2), (1999), 265-279.
- [9] R.W. Brockett: Asymptotic stability and feedback stabilization. Progress in Math., 27, Birkhauser, (1993), 181-208.
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Bibliografia
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bwmeta1.element.baztech-article-BSW3-0012-0001