Abstract
In this paper, we propose a new application of the adaptive critic methodology for the feedback control of wheeled mobile robots, based on a critic signal provided by a neural network (NN). The adaptive critic architecture uses a high-level supervisory NN adaptive critic element (ACE), to generate the reinforcement signal to optimise the associative search element (ASE), which is applied to approximate the non-linear functions of the mobile robot. The proposed tracking controller is derived from Lyapunov stability theory and can guarantee tracking performance and stability. A series of computer simulations have been used to emulate the performance of the proposed solution for a wheeled mobile robot.
Similar content being viewed by others
References
Barto, A.G., Sutton, R.S., Anderson, W.: Neuron-like adaptive elements can solve difficult learning control problems. IEEE Trans. Syst. Man Cybern. 13(5), 834–846 (1983)
Giergiel, J., Zylski, W.: Description of motion of a mobile robot by Maggie's equations. J. Theor. Appl. Mech. 43(3), 511–521 (2005)
Hendzel, Z.: Fuzzy combiner of behaviours for reactive control of a wheeled mobile robot. In: Artificial Intelligence and Soft Computing. Rutkowski, L. et al. (eds.), Springer-Verlag, Berlin Heidelberg New York, pp. 774–779 (2004)
Hendzel, Z.: Collision free path planning and control of wheeled mobile robot using a Kohopnen self-organising map. Bull. Polish Acad. Sci. Tech. Sci. 53(1), 39–47 (2005)
Hunt, K.J., Sbarbaro, D., Zbikowski, R., Gawthrop, P.J.: Neural networks for control systems — A survey. Automatica 28(6), 1083–1112 (1992)
Kim, Y.H., Lewis, F.L., Abdallah, C.T.: A dynamic recurrent neural-network based adaptive observer for a class of non-linear systems. Automatica 33(8), 1539–1543 (1997)
Lewis, F.L., Liu, K., Yesildirek, A.: Neural net robot controller with guaranteed tracking performance. IEEE Trans. Neural Netw. 6(3), 703–715 (1995)
Lewis, F.L., Jagannathan, S., Yesildirek, A.: Neural Network Control for Robot Manipulators and Nonlinear Systems. Taylor & Francis, London (1999)
Lin, C.-K.: A reinforcement learning adaptive fuzzy controller for robots. Fuzzy Sets Syst. 137, 339–352 (2003)
Narendra, K.S.: Adaptive control using neural networks. In: Neural Networks for Control. Miller, W.T, Sutton, R.S, Werbos, P.W. (eds.), MIT Press, Cambridge, MA, pp. 115–142 (1991)
Prokhorov, D.V., Wunch, D.C.: Adaptive critic designs. IEEE Trans. Neural Netw. 8(5), 997–1007 (1997)
Sutton R.S., Barto A.G.: Reinforcement Learning, An Introduction. MIT Press, Cambridge, MA, (1999).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hendzel, Z. An adaptive critic neural network for motion control of a wheeled mobile robot. Nonlinear Dyn 50, 849–855 (2007). https://doi.org/10.1007/s11071-007-9234-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11071-007-9234-1