An adaptive neural sliding mode controller for MIMO systems

Journal of Intelligent and Robotic Systems: Theory and Applications

Volumn 46, Issue 3, 2006, Pages 285-301

  Huang, Shiuh Jer ^a   Chiou, Kuo Ching ^b  

^a NATIONAL TAIWAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

^b NATIONAL FORMOSA UNIVERSITY   (Taiwan)

Author keywords

Adaptive neural controller; Decoupling approach; MIMO system; Persistent excitation; Radial basis function neural network

Indexed keywords

ADAPTIVE ALGORITHMS; BOUNDARY CONDITIONS; ERROR ANALYSIS; LYAPUNOV METHODS; PARAMETER ESTIMATION;

ADAPTIVE NEURAL CONTROLLERS; DECOUPLING APPROACH; MIMO SYSTEM; PERSISTENT EXCITATION; RADIAL BASIS FUNCTION NEURAL NETWORK;

NEURAL NETWORKS;

EID: 33747891220     PISSN: 09210296     EISSN: 15730409     Source Type: Journal    
DOI: 10.1007/s10846-006-9065-1     Document Type: Article

References (25)

1. Chu, S.R., Shoureshi, R.: Neural-based adaptive nonlinear system identification. Intelligent Control System, DSC-vol. 45, ASME Winter Annual Meeting, (1992)
2. Horn, B., Hush, D., Abdallah, C.,: The state space recurrent neural network for robot identification. Advanced Control Issues for Robot Manipulators, DSC-vol. 39, ASME Winter Annual Meeting, (1992)
3. Narendra, K.S.: Adaptive control using neural network. In: Miller, W.T., Sutton, R.S., Werbos, P.J. (eds.) Neural Networks for Control, pp. 115-142. MIT, Cambridge (1991)
4. Cui, X., Shin, K.G.: Direct control and coordination using neural networks. IEEE Trans. Syst. Man Cybern. 23(3), (1993)
5. Sanner, R.M., Slotine, J.-J.E.: Gaussian network for direct adaptive control. IEEE Trans. Neural Netw. 3, 837-863 (1992)
6. Jang, J.S. Roger, Sun, C.T.: Functional equivalent between radial basis function networks and fuzzy inference systems. IEEE Trans Neural Netw. 4(1), 156-159 (1993)
7. Hwang, C.L.; Neural-network-based variable structure control of electrohydraulic servosystems subject to huge uncertainties without persistent excitation. IEEE/ASME Trans. Mechatron. 4(1), 50-59 (1999)
8. Polycarpou, M.M., Ioannu, P.A.: Identification and control using neural network models: Design and stability analysis. Dep. Elect. Eng. Syst., Univ. S. Cal., Tech. Rep. 91-09-01, (1991)
9. Polycarpou, M.M., Ioannu, P.A.: Neural networks as on-line approximators of nonlinear systems. In: Proc. IEEE Conf., Tucson, Arizona, pp. 7-12
10. Chen, F.-C., Khalil, H.K.: Adaptive control of nonlinear systems using neural networks. Int. J. Control 55(6), 1299-1317
11. Liu, C.-C, Chen, F.-C.: Adaptive control of nonlinear continuous time systems using neural networks general relative degree and MIMO case. Int. J. Control 58(2), 317-335 (1993)
12. Hardy, R.L.: Multiquadric equations of topography and other irregular surfaces. J. Geophys. Res. 76, 1905-1915 (1971)
13. Powell, M.J.D.: Radial basis functions for multivariable interpolation: A review. In: Mason, J.C., Cox, M.G. (eds.) Algorithms for Approximation, pp. 143-167. Clarendon, Oxford, UK (1987)
14. Powell, M.J.D.: The theory of radial functions for multivariable approximation in 1990. In: Light, W. (ed.) Advances in Numerical Analysis II. Oxford University Press, Oxford, UK (1992)
15. Poggio, T., Girosi, F.: A theory for approximation and learning. Mass. Inst. Technol., A.I. Memo 1140, (1989)
16. Poggio, T., Girosi, F.: Regularization algorithms for learning that are equivalent to multilayer networks. Science 247, 978-982 (1990)
17. Lu, S., Basar, T.: Robust nonlinear system identification using neural-network models. IEEE Trans. Neural Netw. 9(3), 407-429 (1998)
18. Chen, F.C., Khalil, H.K.: Adaptive control of nonlinear systems using neural networks - A deadzone approach. Proceedings of the 1991 American Control Conference, pp. 667-672, 1991
19. Rumelhart, D.E., Hinton, G.E., Williams, R.J.: Learning representation by error propagation. Nature 323, 533-536 (1986)
20. Werbos, P.J.: Backpropagation: Past and future. In: Proc. 1988 Neural Nets, vol. 1, pp. 1343-1353, (1989)
21. Yu, S.H., Annaswamy, A.M.: Stable neural controllers for nonlinear dynamic systems. Automatica 34(5), 641-650 (1998)
22. Narendra, K.S., Annaswamy, A.M.: A new adaptive law for robust adaption without persistent excitation. IEEE Trans. Automat. Contr. AC-32(2), 134-145 (1987)
23. Lewis, F.L., Yesildirek, A., Liu, K.: Multilayer neural-net robot controller with guaranteed tracking performance. IEEE Trans. Neural Netw. 7(2), (1996)
24. Park, J., Sandberg, I.W.: Universal approximation using radial-basis-function network. Neural Comput. 3, 246-257 (1991)
25. Slotine, J.-J.E., Li, W.: Applied Nonlinear Control. Prentice-Hall, Englewood Cliffs, New Jersey (1991)