Adapitive nonlinear control of dynamic mobile robots with parameter uncertainties
Robot Control, Volume # 8 | Part# 1
Authors
Daniele Fontanelli; Riccardo Viviani; Luca Greco; Andrea Caiti; Antonio Bicchi
Identifier
10.3182/20060906-3-IT-2910.00095
Index Terms
nonholonomic systems,adaptive control,limited actuation,vehicle control
Abstract
Research of a modular stabilizing control law for uncertain, nonholonomic mobile systems with actuators limitation has been investigated. Modular design allows the definition of a stabilizing control law for the kinematic model. The presence of uncertainties in the actuators parameters or in the vehicle dynamics has been treated both adding suitable components to the Lyapunov function and using parameters adaptation laws (e.g. adaptive control and backstepping techniques). Simulations are reported for the set point stabilization of a unicycle like vehicle showing the feasibility of the proposed approach. Torque limitations for a unicycle like vehicle has been investigated using backstepping techniques for the vehicle tracking problem. Simulations are reported.
References
[1] Aguiar, A. P., A. N. Atassi and A. M. Pascoal
(2000). Regulation of nonholonomic dynamic
wheeled mobile robots with parametric modeling
uncertainty using Lyapunov functions.
In: Proc. IEEE Int. Conf. on Decision and
Control. Sydney, Australia, pp. 2995-3000.
[2] Beard, R. W. and W. Ren (2004). Trajectory
tracking for unmanned air vehicles with velocity
and heading rate constraints. IEEE
Transactions on Control Systems Technology
12(5), 706-716.
[3] Caiti, A., D. Fontanelli, L. Greco and R. Viviani
(2005). Adaptive non linear control of dynamic
mobile robots with parameters uncertainty.
Technical report. D.S.E.A., University
of Pisa.
[4] Hahn, W. (1963). Theory and Application of Liapunov's
Direct Method. Prentice-Hall Inc.,
Englewood Cliffs, N.J.
[5] Jiang, Z. P., K. D. Do and J. Pan (2004). Simultaneous
tracking and stabilization of mobile
robots: An adaptive approach. IEEE Transactions
on Automatic Control 49(7), 1147-
1152.
[6] Murrieri, P., D. Fontanelli and A. Bicchi (2004). A
hybrid-control approach to the parking problem
of a wheeled vehicle using limited viewangle
visual feedback. International Journal
of Robotics Research 23(4-5), 437-448.
[7] Nijmeijer, H., Z. P. Jiang and E. Lefeber (2001).
Satured stabilization and tracking of a nonholonomic
mobile robot. Systems & Control
Letters 42, 327-332.
[8] Soetano, D., L. Lapierre and A. Pascoal (2003).
Adaptive, non-singular path-following control
of dynamic wheeled robots. In: Proc.
IEEE Int. Conf. on Decision and Control.
Maui, Hawaii USA. pp. 1765-1770.
[9] Sontag, E. D. and M. Malisoff (1999). Universal
formulas for CLF's with respect Minkowski
balls. In: Proc. American Control Conference.
San Diego, California, pp. 3033-3037.
[10] Tso, S. K., W. Dong, W. Huo and W. L. Xu
(2000). Tracking control of uncertain dynamic
nonholonomic system and its application to
wheeled mobile robots. IEEE Transactions on
Robotics and Automation 16(6), 870-874.
