Wavelet based adaptive backstepping controller for a class of nonregular systems with input constraints

Expert Systems with Applications

Volumn 36, Issue 3 PART 2, 2009, Pages 6686-6696

  Kulkarni, Ajay ^a   Purwar, S ^a  

^a MOTILAL NEHRU NATIONAL INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Adaptive control; Backstepping control; Input constraints; Robust control; Wavelet network

Indexed keywords

ACTUATORS; BACKSTEPPING; CONTROLLERS; LYAPUNOV FUNCTIONS; ROBUST CONTROL; SYSTEM STABILITY;

ADAPTIVE BACK-STEPPING; ADAPTIVE CONTROL; BACK-STEPPING CONTROLS; BACKSTEPPING CONTROLLER; INPUT CONSTRAINTS; LEARNING CAPABILITIES; PRINCIPAL CONTROLLERS; WAVELET NETWORK;

ADAPTIVE CONTROL SYSTEMS;

EID: 58349117015     PISSN: 09574174     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.eswa.2008.08.070     Document Type: Article

References (25)

1. Astrom K.J., and Wittenmark B. Adaptive control (1995), Addison Wesley, New York
2. Chang C.M., and Liu T.S. A wavelet network control method for disk drives. IEEE Transactions on Control Systems Technology 14 1 (2006) 63-67
3. Daubechies I. The wavelet transform, time-frequency localization and signal analysis. IEEE Transactions on Information Theory 36 5 (1990) 961-1003
4. Delyon B., Juditsky A., and Benveniste A. Accuracy analysis for wavelet approximations. IEEE Transactions on Neural Networks 6 2 (1995) 332-348
5. de Sousa Jr. C., Hemerly E.M., and Galvão R.K.H. Adaptive control for mobile robot using wavelet networks. IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics 32 4 (2002) 589-600
6. Hauser J., Sastry S., and Kokotovic P. Nonlinear control via approximate input-output linearization: The ball and beam example. IEEE Transactions on Automatic Control 37 3 (1992) 392-398
7. He P., and Jagannathan S. Reinforcement learning neural-network-based controller for nonlinear discrete-time systems with input constraints. IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics 37 2 (2007) 425-436
8. Hirschorn R.M. Incremental sliding mode control of the ball and beam. IEEE Transactions on Automatic Control 47 10 (2002) 1696-1700
9. Hsu C.-F., Lin C.-M., and Lee T.-T. Wavelet adaptive backstepping control for a class of nonlinear systems. IEEE Transactions on Neural Networks 17 5 (2006) 175-1183
10. Khalil H.K. Nonlinear systems (2002), Prentice Hall, Upper Saddle River, NJ
11. Lai, M. C., Chien, C. C., Cheng, C. Y., Xu, Z., Zhang, Y. (1994). Nonlinear tracking control via approximate backstepping. In Proceedings of the American control conference, Maryland (pp. 1339-1343).
12. Lin C.-M., and Hsu C.-F. Neural network, hybrid control for antilock braking systems. IEEE Transactions on Systems Neural Network 14 2 (2003) 351-359
13. Lornic, Marton, & Bela Lantos (2006). Stable adaptive ball and beam control. In Proceedings of the 2006 IEEE conference on mechatronics, Toronto, Canada (pp. 507-512).
14. Mallat S.G. A theory for multiresolution signal decomposition: The wavelet representation. IEEE Transactions on Pattern Analysis and Machine Intelligence II 7 (1989) 674-693
15. Morabito F., Teel A.R., and Zaccarian L. Nonlinear antiwindup applied to Euler-Lagrange systems. IEEE Transactions on Robotics and Automation 20 3 (2004) 526-537
16. Marios, M. Polycarpou, Mark, J. Mears, Scott, E. Weaver (1997). Adaptive wavelet control of nonlinear systems. In Proceedings of the 36th conference on decision & control, San Diego, California USA (pp. 3890-3895).
17. Purwar S., Kar I.N., and Jha A.N. Adaptive control of robot manipulators using fuzzy logic systems under actuator constraints. Fuzzy Sets and Systems 152 3 (2005) 651-664
18. Purwar S., Kar I.N., and Jha A.N. Adaptive output feedback tracking control of robot manipulators using position measurements. Expert Systems with Applications 34 4 (2008) 2789-2798
19. Tomlin, C. J., Sastry, S. S., (1997). Switching through singularities. In Proceedings of the 36th conference on decision & control, San Diego, California USA (pp. 3970-3978).
20. Turker Turker, Haluk Gorgun, Erkan Zergeroglu, Galip Cansever. (2007). Exact model knowledge and direct adaptive controllers on ball and beam. In Proceedings of international conference on mechatronics, Kumamoto Japan (pp. 1-6).
21. Wai, Rong-Jong, & Chang, Han-Hsiang (2004). Backstepping wavelet neural network control for indirect field-oriented induction motor drive. IEEE Transactions on Neural Networks 15(2), 367-382.
22. Zhang Q., and Benveniste A. Wavelet networks. IEEE Transactions on Neural Networks 3 6 (1992) 889-898
23. Zhang T., Ge S.S., and Hang H.H. Adaptive neural network control for strict-feedback nonlinear systems using backstepping design. Automatica 36 (2000) 1835-1846
24. Zhang Y., Peng P.-Y., and Jiang Z.-P. Stable neural controller design for unknown nonlinear systems using backstepping. IEEE Transactions on Neural Networks 11 6 (2000) 1347-1360
25. Zhang J., Walter G.G., Miao Y., and Lee W.N.W. Wavelet neural networks for function learning. IEEE Transactions on Signal Processing 43 6 (1995) 1485-1497