Multilayer feed forward neural networks for controlling decentralized large-scale non-affine nonlinear systems with guaranteed stability

International Journal of Innovative Computing, Information and Control

Volumn 6, Issue 11, 2010, Pages 4825-4841

  Karimi, Bahram ^a   Menhaj, Mohammad Bagher ^a   Saboori, Iman ^b  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

^b QUEEN S UNIVERSITY   (Canada)

Author keywords

Adaptive control; Decentralized non affine nonlinear system; Multilayer feed forward neural network (MFNN)

Indexed keywords

ADAPTIVE CONTROL; ADAPTIVE CONTROLLERS; ADAPTIVE NEURAL NETWORK CONTROLLER; LARGE-SCALE NONLINEAR SYSTEMS; LYAPUNOV STABILITY ANALYSIS; MULTI-LAYER FEED FORWARD; MULTILAYER FEED FORWARD NEURAL NETWORK (MFNN); MULTILAYER FEEDFORWARD NEURAL NETWORKS; NON-AFFINE NONLINEAR SYSTEMS; NONLINEAR FUNCTIONS; SIMULATION RESULT; ULTIMATE BOUNDEDNESS;

CLOSED LOOP SYSTEMS; CONTROLLERS; FEEDFORWARD NEURAL NETWORKS; MULTILAYER NEURAL NETWORKS; MULTILAYERS; NONLINEAR SYSTEMS; SYSTEM STABILITY;

ADAPTIVE CONTROL SYSTEMS;

EID: 77953651759     PISSN: 13494198     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (29)

1. P. A. Ioannou, Decentralized adaptive control of interconnected systems, IEEE Trans. Automat. Contr., vol.31, no.4, pp.291-298, 1986.
2. L. C. Fu, Robust adaptive decentralized control of robot manipulators, IEEE Trans, on Automat. Contr., vol.37, no.1, pp.106-110, 1992.
3. S. Sheikholeslam and C. A. Desoer, Indirect adaptive control of a class of interconnected nonlinear dynamical systems, Int. J. Control, vol.57, no.3, pp.743-765, 1993.
4. C. Wen, Decentralized adaptive regulation, IEEE Trans, on Automat. Contr., vol.39, no.10, pp.2163-2166, 1994.
5. L. Shi and S. K. Singh, Decentralized adaptive controller design for large-scale systems with higher order interconnections, IEEE Trans, on Automat. Contr., vol.37, no.8, pp.1106-1118, 1992.
6. Y. Tang, M. Tomizuka, G. Guerrero and G. Montemayor, Decentralized robust control of mechanical systems, IEEE Trans, on Automat. Contr., vol.45, no.4, pp.771-776, 2000.
7. Y. Guo, Z. P. Jiang and D. J. Hill, Decentralized robust disturbance attenuation for a class of large-scale nonlinear systems, Syst. Control Lett., vol.37, no.2, pp.71-85, 1999.
8. P. Krishmanurthy and F. Khorrami, Decentralized control of large-scale nonlinear systems in generalized output-feedback canonical form, Proc. of the 40th IEEE Conference on Decision and Control, Orlando, FL, pp.1322-1327, 2001. (Pubitemid 34139115)
9. S. Jain and F. Khorrami, Decentralized adaptive control of a class of large-scale interconnected nonlinear systems, IEEE Trans, on Automat. Contr., vol.42, no.2, pp.136-154, 1997. (Pubitemid 127760577)
10. A. Kozakova, Tuning decentralized PID controllers for performance and robust stability, ICIC Express Letters, vol.2, no.2, pp.117-122, 2008.
11. K. C. Yao, Reliable robust output feedback stabilizing computer control of decentralized stochastic singularly-perturbed systems, ICIC Express Letters, vol.1, no.l, pp.1-7, 2007.
12. A. Kozakova and V. Vesely, Robust decentralized controller design for systems with additive affine- type uncertainty, International Journal of Innovative Computing, Information and Control, vol.3, no.5, pp.1109-1120, 2007.
13. X. Wang, Y. Feng and X. Zhao, A single parameter dynamic searching algorithm for multi-layer neural networks (Part I), International Journal of Innovative Computing, Information and Control, vol.4, no.9, pp.2221-2234, 2008.
14. S. Tong and Q. Zhang, Decentralized output feedback fuzzy tracking control for nonlinear interconnected systems with time-delay, International Journal of Innovative Computing, Information and Control, vol.4, no.12, pp.3385-3398, 2008.
15. J. T. Spooner and K. M. Passino, Decentralized adaptive control of nonlinear systems using radial basis neural networks, IEEE Trans, on Automat. Contr., vol.44, no.11, pp.2050-2057, 1999.
16. F. Nardi, N. Hovakimyan and A. J. Calise, Decentralized control of large-scale systems using single hidden layer neural networks, Proc. of the American Control Conference, Arilington, VA, pp.3123- 3127, 2001.
17. S. N. Huang, K. K. Tan and T. H. Lee, Decentralized control of a class of large-scale nonlinear systems using neural networks, Automatica, vol.41, no.9, pp. 1645-1649, 2005.
18. S.N. Huang, K. K. Tan and T. H. Lee, Nonlinear adaptive control of interconnected systems using neural networks, IEEE Trans, on Neural Network, vol.17, no.1, pp.243-246, 2006.
19. B. Karimi, M. B. Menhaj and I. Saboori, Robust adaptive control of nonaffine nonlinear systems using radial basis function neural networks, The 32nd Annual Conf. of the IEEE Industrial Electronics Society, Paris, France, pp.495-500, 2006.
20. B. Karimi, M. B. Menhaj, A. Afshar and I. Saboori, A decentralized direct adaptive controller for a class of large-scale interconnected nonlinear systems, IEEE International Symposium on Intelligent Signal Processing, Madrid, Spain, pp.1-6, 2007.
21. B. Karimi, M. B. Menhaj and I. Saboori, Decentralized adaptive control of large-scale nonaffine nonlinear systems using radial basis function neural networks, IEICE Trans. Fundamentals, vol. E-90-A, no.10, pp.2239-2247, 2007.
22. B. Karimi, M. B. Menhaj, M. Karimi-Ghartemani and I. Saboori, Decentralized adaptive control of large-scale affine and nonaffine nonlinear systems, IEEE Transactions on Instrumentation and Measurement, vol.58, no.8, pp.2459-2467, 2009.
23. R. G. Bartle, The Elements of Real Analysis, Wiley & Sons, New York, 1964.
24. S. Lang, Real Analysis, Addison Wesley, Reading, 1983.
25. F. L. Lewis, A. Yesildirk and K. Liu, Multilayer neural - Net robot controller with guaranteed tracking performance, IEEE Trans, on Neural Network, vol.7, no.2, pp.387-398, 1996.
26. T. Zhang, S. S. Ge and C. C. Hang, Design and performance analysis of a direct adaptive controller for nonlinear systems, Automatica, vol.35, no.11, pp.1809-1817, 1999. (Pubitemid 32078093)
27. S. S. Ge, C. C. Hang and T. Zhang, Nonlinear adaptive control using neural networks and its application to CSTR systems, Journal of Process Control, vol.9, no.4, pp.313-323, 1998.
28. K. I. Funahashi, On the approximate realization of continuous by neural networks, Neural Networks, vol.2, no.3, pp. 183-192, 1989.
29. H. Khalil, Nonlinear Systems, Englewood Cliffs, Prentice-Hall, NJ, 2002.