Tracking control based on recurrent neural networks for nonlinear systems with multiple inputs and unknown deadzone

Abstract and Applied Analysis

Volumn 2012, Issue , 2012, Pages

  Pérez Cruz, J Humberto ^a,b   Rubio, José De Jesús ^b   Ruiz Velazquez E ^a   Solis Perales G ^a  

^a UNIVERSITY OF GUADALAJARA   (Mexico)

^b INSTITUTO POLITÉCNICO NACIONAL   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84872783620     PISSN: 10853375     EISSN: 16870409     Source Type: Journal    
DOI: 10.1155/2012/471281     Document Type: Article

References (29)

1. Narendra K. S., Parthasarathy K., Identification and control of dynamical systems using neural networks. IEEE Transactions on Neural Networks 1990 1 1 4 27 2-s2.0-0025399567 10.1109/72.80202 (Pubitemid 20689507)
2. Haykin S., Neural Networks: A Comprehensive Foundation 1994 New York, USA IEEE Press
3. Lewis F. L., Jagannathan S., Yesildirek A., Neural Network Control of Robot Manipulators and Nonlinear Systems 1999 Taylor & Francis
4. Rovithakis G. A., Christodoulou M. A., Adaptive Control with Recurrent High-Order Neural Networks: Theory and Industrial Applications 2000 Springer
5. Norgaard M., Ravn O., Poulsen N. K., Hansen L. K., Neural Networks for Modelling and Control of Dynamic Systems 2000 Springer
6. Poznyak A. S., Sanchez E. N., Yu W., Dynamic Neural Networks for Nonlinear Control: Identification, State Estimation and Trajectory Tracking 2001 World Scientific
7. Sarangapani J., Neural Network Control of Nonlinear Discrete-Time Systems 2006 Boca Raton, Fla, USA CRC Press, Taylor & Francis Group
8. de Jesús Rubio J., Yu W., Nonlinear system identification with recurrent neural networks and dead-zone Kalman filter algorithm. Neurocomputing 2007 70 13-15 2460 2466 2-s2.0-34249668888 10.1016/j.neucom.2006.09.004 (Pubitemid 46825358)
9. Yu W., Poznyak A., Indirect adaptive control via parallel dynamic neural networks. IEE Proceedings: Control Theory and Applications 1999 146 1 25 30
10. Rovithakis G. A., Tracking control of multi-input affine nonlinear dynamical systems with unknown nonlinearities using dynamical neural networks. IEEE Transactions on Systems, Man, and Cybernetics B 1999 29 2 179 189 2-s2.0-0033116696 10.1109/3477.752792
11. Humberto Pérez-Cruz J., Poznyak A., Control of nuclear research reactors based on a generalized Hopfield neural network. Intelligent Automation and Soft Computing 2010 16 1 39 60 2-s2.0-75349102205
12. Perez-Cruz J. H., Chairez I., Poznyak A., de Rubio J. J., Constrained neural control for the adaptive tracking of power profiles in a triga reactor. International Journal of Innovative Computing, Information and Control 2011 7 7 4575 4788 2-s2.0-79959869645
13. Pérez-Cruz J. H., Alanis A. Y., Rubio J. J., Pacheco J., System identification using multilayer differential neural networks: a new result. Journal of Applied Mathematics 2012 2012 20 10.1155/2012/529176 529176
14. Magyar B., Hös C., Stépán G., Influence of control valve delay and dead zone on the stability of a simple hydraulic positioning system. Mathematical Problems in Engineering 2010 2010 15 349489 10.1155/2010/349489 2670478 ZBL1205.93047
15. Valdiero A. C., Ritter C. S., Rios C. F., Rafikov M., Nonlinear mathematical modeling in pneumatic servo position applications. Mathematical Problems in Engineering 2011 2011 16 10.1155/2011/472903 472903
16. Tao G., Kokotović P. V., Adaptive control of plants with unknown dead-zones. IEEE Transactions on Automatic Control 1994 39 1 59 68 10.1109/9.273339 1258675 ZBL0796.93070
17. Tao G., Kokotović P. V., Adaptive Control of Systems with Actuator and Sensor Nonlinearities 1996 New York, NY, USA John Wiley & Sons xvi+294 1482524
18. Tao G., Lewis F. L., Adaptive Control of Nonsmooth Dynamic Systems 2003 Springer
19. Sun Y.-J., Composite tracking control for generalized practical synchronization of Duffing-Holmes systems with parameter mismatching, unknown external excitation, plant uncertainties, and uncertain deadzone nonlinearities. Abstract and Applied Analysis 2012 2012 11 640568 2926891 ZBL1242.34099
20. Cho H., Bai E.-W., Convergence results for an adaptive dead zone inverse. International Journal of Adaptive Control and Signal Processing 1998 12 5 451 466 10.1002/(SICI)1099-1115(199808)12:5<451::AID-ACS504>3.0.CO;2-R 1632387 ZBL0910.93068 (Pubitemid 128607839)
21. Wang X. S., Hong H., Su C. Y., Model reference adaptive control of continuous-time systems with an unknown input dead-zone. IEE Proceedings: Control Theory and Applications 2003 150 3 261 266 2-s2.0-0038537482 10.1049/ip-cta:20030398
22. Zhou J., Shen X. Z., Robust adaptive control of nonlinear uncertain plants with unknown dead-zone. IET Control Theory & Applications 2007 1 1 25 32 10.1049/iet-cta:20050240 2352140 (Pubitemid 46104203)
23. Wang X.-S., Su C.-Y., Hong H., Robust adaptive control of a class of nonlinear systems with unknown dead-zone. Automatica 2004 40 3 407 413 10.1016/j.automatica.2003.10.021 2145268 ZBL1036.93036
24. Wang Z., Zhang Y., Fang H., Neural adaptive control for a class of nonlinear systems with unknown deadzone. Neural Computing and Applications 2008 17 4 339 345 2-s2.0-46249108691 10.1007/s00521-007-0124-8
25. Liu Y. J., Zhou N., Observer-based adaptive fuzzy-neural control for a class of uncertain nonlinear systems with unknown dead-zone input. ISA Transactions 2010 49 4 462 469 2-s2.0-77957896876 10.1016/j.isatra.2010.06.002
26. Pérez-Cruz J. H., Ruiz-Velázquez E., Rubio J. J., Alba-Padilla C. A., Robust adaptive neurocontrol of SISO nonlinear systems preceded by unknown deadzone. Mathematical Problems in Engineering 2012 2012 23 10.1155/2012/342739 342739
27. Selmic R. R., Lewis F. L., Deadzone compensation in motion control systems using neural networks. IEEE Transactions on Automatic Control 2000 45 4 602 613
28. Zhang T. P., Ge S. S., Robust adaptive neural control of SISO nonlinear systems with unknown nonlinear dead-zone and gain sign. Proceedings of the IEEE International Symposium on Intelligent Control October 2006 Munich, Germany 315 320
29. Lewis F. L., Campos J., Selmic R., Neuro-Fuzzy Control of Industrial Systems with Actuator Nonlinearities 2002 24 Philadelphia, Pa, USA SIAM xiv+244 10.1137/1.9780898717563 1927211