Adaptive output-feedback regulation for nonlinear delayed systems using neural network

International Journal of Automation and Computing

Volumn 5, Issue 1, 2008, Pages 103-108

  Chen, Wei Sheng ^a   Li, Jun Min ^a  

^a XIDIAN UNIVERSITY   (China)

Author keywords

Adaptive; Backstepping; Neural network (NN); Nonlinear time delay systems; Output feedback

Indexed keywords

ADAPTIVE ALGORITHMS; CONTROL THEORY; FEEDBACK CONTROL; FUNCTION EVALUATION; NEURAL NETWORKS; TIME VARYING CONTROL SYSTEMS;

BACKSTEPPING; NONLINEAR TIME-DELAY SYSTEMS; OUTPUT-FEEDBACK; TIME-VARYING TIME-DELAY SYSTEMS;

NONLINEAR SYSTEMS;

EID: 38749142917     PISSN: 14768186     EISSN: 17518520     Source Type: Journal    
DOI: 10.1007/s11633-008-0103-2     Document Type: Article

References (23)

1. S. L. Niculescu. Delay Effects on Stability: A Robust Control Approach, Springer-Verlay, London, UK, 2001.
2. S. K. Nguang. Robust Stabilization of a Class of Time-delay Nonlinear Systems. IEEE Transactions on Automatic Control, vol. 45, no. 4, pp. 756-762, 2000.
3. Y. S. Fu, Z. H. Tian, S. J. Shi. State Feedback Stabilization for a Class of Stochastic Time-delay Nonlinear Systems. IEEE Transactions on Automatic Control, vol. 48, no. 2, pp. 282-286, 2003.
4. S. S. Zhou, G. Feng, S. K. Nguang. Comments on "Robust Stabilization of a Class of Time-delay Nonlinear Systems". IEEE Transactions on Automatic Control, vol. 47, no. 9, pp. 1586-1586, 2002.
5. C. C. Hua, X. P. Guan. Comments on "State Feedback Stabilization for a Class of Stochastic Time-delay Nonlinear Systems". IEEE Transactions on Automatic Control, vol. 49, no. 7, pp. 1216-1216, 2004.
6. X. H. Jiao, T. L. Shen. Adaptive Feedback Control of Nonlinear Time-delay Dystems: The LaSalle-Razumikhin-based Approach. IEEE Transactions on Automatic Control, vol. 50, no. 11, pp. 1909-1913, 2005.
7. Y. S. Fu, Z. H. Tian, S. J. Shi. Output Feedback Stabilization for Time-delay Nonlinear Systems. Acta Automatica Sinica, vol. 28, no. 5, pp. 802-805, 2002. (in Chinese)
8. Y. S. Fu, Z. H. Tian, S. J. Shi. Output Feedback Stabilization for a Class of Stochastic Time-delay Nonlinear Systems. IEEE Transactions on Automatica Control, vol. 50, no. 6, pp. 847-851, 2005.
9. C. C. Hua, X. P Guan, P. Shi. Robust Backstepping Control for a Class of Time Delay Systems. IEEE Transactionsons Automatica Control, vol. 50, no. 6, pp. 894-899, 2005.
10. M. M. Polycarpou, M. J. Mears. Stable Adaptive Tracking of Uncertain Systems Using Nonlinearly Parameterized Online Approximators. International Journal of Control, vol. 70, no. 3, pp. 363-384, 1998.
11. T. Zhang, S. S. Ge, C. C. Huang. Adaptive Neural Network Control for Strict-feedback Nonlinear Systems Using Backstepping Design. Automatica, vol. 36, no. 12, pp. 1835-1846, 2000.
12. Y. H. Li. Robust and Adaptive Backstepping Control for Nonlinear Systems Using RBF Neural Networks. IEEE Transactions on Neural Networks, vol. 15, pp. 3, pp. 693-701, 2004.
13. ∞ Stabilization for Strict-feedback Canonical Nonlinear Systems via Backstepping and Small-gain Approach. IEEE Transactions on Fuzzy Systems, vol. 13, no. 1, pp. 104-114, 2005.
14. D. Wang, J. Huang. Neural Network-based Adaptive Dynamic Surface Control for a Class of Uncertain Nonlinear Sytems in Strict-feedback Form. IEEE Transactions on Neural Networks, vol. 16, no. 1, pp. 195-202, 2005.
15. H. B. Du, H. H. Shao, P. J. Yao. Adaptive Neural Network Control for a Class of Low-triangular-structured Nonlinear Systems. IEEE Transactions on Neural Networks, vol. 17 no. 2, pp. 509-514, 2006.
16. J. Y. Choi, J. A. Farrell. Adaptive Observer Backstepping Control Using Neural Networks. IEEE Transactions on Neural Networks, vol. 12, no. 5, pp. 1103-1113, 2001.
17. J. Stoev, J. Y. Choi, J. Farrell. Adaptive Control for Output Feedback Nonlinear Systems in the Presence of Modeling Errors. Automatica, vol. 38, no. 10, pp. 1761-1767, 2002.
18. K. Funahashi. On the Approximate Realization of Continuous Mappings by Neural Networks. Neural Networks, vol. 2, no. 1, pp. 183-192, 1989.
19. K. S. Narendra, K. Parthasarathy. Identification and Control of Dynamic Systems Using Neural Networks. IEEE Transactions on Neural Networks, vol. 1, no. 1, pp. 4-27, 1990.
20. H. Hong, S. S. Ge, T. H. Lee. Practical Adaptive Neural Control of Nonlinear Systems with Unknown Time Delay. IEEE Transactions on Systems, Man, and Cybernetics - Part B, vol. 35, no. 4, pp. 849-854, 2005.
21. W. S. Chen, J. M. Li. Adaptive Output Feedback Control for Nonlinear Time-delay Systems Using Neural Networks. Journal of Control Theory and Application, vol. 4, no. 4, pp. 313-320, 2006.
22. W. S. Chen, J. M. Li. Adaptive Neural Tracking Control for Unknown Output Feedback Nonlinear Time Delay Systems. Acta Automatica Sinica, vol. 31, no. 5, pp. 799-803, 2005. (in Chinese)
23. J. K. Hale, S. M. Lunel. Introduction to Functional Differential Equations, Springer-Verlay, New York, USA, 1993.