Abstract
In this paper, an adaptive neural network (NN) control scheme is proposed for a class of strict-feedback discrete-time nonlinear systems with input saturation. which is designed via backstepping technology and the approximation property of the HONNs, aimed to solve the the input saturation constraint and system uncertainty in many practical applications. The closedloop system is proven to be uniformly ultimately bounded (UUB). At last, a simulation example is given to illustrate the effectiveness of the proposed algorithm.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Krstic, M., Kanellakopoulos, I., Kokotovic, P.: Nonlinear and Adaptive Control Design. Wiley, New York (1995)
Polycarpou, M.M.: Stable adaptive neural control scheme for nonlinear systems. IEEE Trans. on Automatic Control 41, 447–451 (1996)
Polycarpou, M.M., Mears, M.J.: Stable adaptive tracking of uncertain systems using nonlin-early parametrized on-line approximators. International Journal of Control 70(3), 363–384 (1998)
Zhang, Y., Peng, P.Y., Jiang, Z.P.: Stable neural controller design for unknown nonlinear systems using backstepping. IEEE Trans. Neural Networks 11, 1347–1359 (2000)
Zhang, T., Ge, S.S., Hang, C.C.: Adaptive neural network control for strict-feedback nonlinear systems using backstepping design. Automatica 36, 1835–1846 (2000)
Ge, S.S., Wang, C.: Driect Adaptive NN Control of a class of nonlinear systems. IEEE Trans. on Neural Networks 13(1) (2002)
Ge, S.S., Li, G.Y., Lee, T.H.: Adaptive NN control for a class of strict-feedback discrete-time nonlinear systems. Automatica 39, 807–819 (2003)
Zhu, Q.M., Guo, L.Z.: Stable adaptive neuron control for nonlinear discrete-time systems. IEEE Trans. on Neural Networks 15(3), 653–662 (2004)
Vance, J., Jagannathan, S.: Discrete-time neural network output feedback control of nonlinear discrete-time systems in non-strict form. Automatica 44, 1020–1027 (2008)
Yang, C.G., Ge, S.S., Xiang, C., Chai, T.Y., Lee, T.H.: Output feedback NN control for two classes of discrete-time systems with unknown control directions in a unified approach. IEEE Trans. on Neural Networks 19(11), 1873–1886 (2008)
Ge, S.S., Yang, C.G., Lee, T.H.: Adaptive predictive control using neural network for a class of pure-feedback systems in discrete time. IEEE Trans. on Neural Networks 19(9), 1599–1614 (2008)
Chen, W.S.: Adaptive NN control for discrete-time pure-feedback systems with unknown control direction under amplitude and rate actuator constraints. ISA Transactions 48(3), 304–311 (2009)
Liu, Y.J.: Direst adaptive NN control for a class of discrete-time nonlinear strict-feedback systems. Neurocomputing 73, 2498–2505 (2010)
Chen, M., Ge, S.S., Choo, Y.: Neural network tracking control of ocean surface vessels with input saturation. In: Proc.of the 2009 IEEE International Conference on Automation and Logistics, pp. 85–89 (2009)
Li, J.F.: Design of Ship Course Autopilot in the Presence of input Saturation. The Master’s Thesis of Dalian martime university (2012)
Polycarpou, M.M.: On-line approximation control of uncertain nonlinear systems: issues with control input saturation. In: The American Control Conference, June 4-6 (2003)
Yau, H.T., Chen, C.L.: Chaos control of Lorenz systems using adaptive controller with input saturation. Solitons and Fractals 34, 1567–1574 (2007)
Johnson, E.N., Calise, A.J.: Neural Network Adaptive Control of Systems with Input Saturation. In: American Control Conference, June 25-27 (2001)
He, P., Jagannathan, S.: Reinforcement learning neural-networkbased controller for nonlinear discrete-time systems with input constraints. IEEE Trans. on Systems, Man, and Cybernetics, Part B: Cybernetics 37(2), 425–436 (2007)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wang, X., Li, T., Fang, L., Lin, B. (2013). Adaptive NN Control for a Class of Strict-Feedback Discrete-Time Nonlinear Systems with Input Saturation. In: Guo, C., Hou, ZG., Zeng, Z. (eds) Advances in Neural Networks – ISNN 2013. ISNN 2013. Lecture Notes in Computer Science, vol 7952. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39068-5_9
Download citation
DOI: https://doi.org/10.1007/978-3-642-39068-5_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-39067-8
Online ISBN: 978-3-642-39068-5
eBook Packages: Computer ScienceComputer Science (R0)