Abstract
This paper considers the problem of adaptive neural decentralized control for pure-feedback nonlinear interconnected large-scale systems. Radical basis function (RBF) neural networks are used to model packaged unknown nonlinearities and backstepping is used to construct decentralized controller. The proposed control scheme can guarantee that all the signals in the closed-loop system are semi-globally uniformly ultimately bounded. A numerical example is provided to illustrate the effectiveness of the suggested approach.
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
Zhang, H.G., Cai, L.: Decentralized nonlinear adaptive control of an HVAC system. IEEE Transactions on Systems, Man and Cybernetics Part C: Applications and Reviews 32, 493–498 (2002)
Zhou, J., Wen, C.Y.: Decentralized backstepping adaptive output tracking of interconnected nonlinear systems. IEEE Transactions on Automatic Control 53, 2378–2384 (2008)
Hua, C.C., Wang, Q.G., Guan, X.P.: Exponential stabilization controller design for interconnected time delay systems. Automatica 44, 2600–2606 (2008)
Tong, S.C., Liu, C.L., Li, Y.M.: Fuzzy adaptive decentralized control for large-scale nonlinear systems with dynamical uncertainties. IEEE Transactions on Fuzzy Systems 18, 845–861 (2010)
Tong, S.C., Li, Y.M., Zhang, H.G.: Adaptive neural network decentralized backstepping output-feedback control for nonlinear large-scale systems with time delays. IEEE Transactions on Neural Networks 22, 1073–1086 (2011)
Li, T.S., Li, R.H., Li, J.F.: Decentralized Adaptive Neural Control of Nonlinear Systems with Unknown Time Delays. Nonlinear Dynamics 67, 2017–2026 (2012)
Li, T.S., Li, R.H., Li, J.F.: Decentralized adaptive neural control of nonlinear interconnected large-scale systems with unknown time delays and input saturation. Neurocomputing 74, 2277–2283 (2011)
Chen, W.S., Li, J.M.: Decentralized output-feedback neural control for systems with unknown interconnections. IEEE Transactions on Systems, Man and Cybernetics Part B: Cybernetics 38, 258–266 (2008)
Karimi, B., Menhaj, M.B.: Non-affine nonlinear adaptive control of decentralized large-scale systems using neural networks. Information Sciences 180, 3335–3347 (2010)
Mao, Z.Z., Xiao, X.S.: Decentralized adaptive tracking control of nonaffine nonlinear large-scale systems with time delays. Information Sciences 181, 5291–5303 (2011)
Huang, Y.S., Wu, M.: Robust decentralized direct adaptive output feedback fuzzy control for a class of large-sale nonaffine nonlinear systems. Information Sciences 181, 2392–2404 (2011)
Apostol, T.M.: Mathematical analysis. Addison-Wesley, Reading (1963)
Li, J., Chen, W.S., Li, J.M.: Adaptive NN output-feedback decentralized stabilization for a class of large-scale stochastic nonlinear strict-feedback systems. International Journal of Robust and Nonlinear Control 21, 452–472 (2011)
Sanner, R.M., Slotine, J.E.: Gaussian networks for direct adaptive control. IEEE Transactions on Neural Network 3, 837–863 (1992)
Kurdila, A.J., Narcowich, F.J., Ward, J.D.: Persistency of excitation in identification using radial basis function approximants. SIAM Journal of Control and Optimization 33, 625–642 (1995)
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, H., Chen, B., Lin, C. (2013). Adaptive Neural Control for a Class of Large-Scale Pure-Feedback Nonlinear Systems. 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_12
Download citation
DOI: https://doi.org/10.1007/978-3-642-39068-5_12
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)