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http://dx.doi.org/10.5302/J.ICROS.2007.13.11.1033

Terminal Sliding Mode Control of Nonlinear Systems Using Self-Recurrent Wavelet Neural Network  

Lee, Sin-Ho (연세대학교 전기전자공학과)
Choi, Yoon-Ho (경기대학교 전자공학부)
Park, Jin-Bae (연세대학교 전기전자공학과)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.13, no.11, 2007 , pp. 1033-1039 More about this Journal
Abstract
In this paper, we design a terminal sliding mode controller based on self-recurrent wavelet neural network (SRWNN) for the second-order nonlinear systems with model uncertainties. The terminal sliding mode control (TSMC) method can drive the tracking errors to zero within finite time in comparison with the classical sliding mode control (CSMC) method. In addition, the TSMC method has advantages such as the improved performance, robustness, reliability and precision. We employ the SRWNN to approximate model uncertainties. The weights of SRWNN are trained by adaptation laws induced from Lyapunov stability theorem. Finally, we carry out simulations for Duffing system and the wing rock phenomena to illustrate the effectiveness of the proposed control scheme.
Keywords
terminal sliding mode control; self-recurrent wavelet neural network; nonlinear systems; Lyapunov stability theorem;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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1 M. J. Lee and Y. K. Choi, 'An adaptive Neuro-controller using RBFN for robot manipulators,' IEEE Trans. on Industrial Electronics, vol. 51, no. 3, pp. 711-717, 2004   DOI   ScienceOn
2 S. T. Venkataraman and S. Gulati, 'Terminal slider control of robot systems,' Journal of Intelligent and Robotic Systems, vol. 7, no. 1, pp. 31-55, 1993   DOI
3 J. M. Elzebda, A. H. Nayfeh, and D. T. Mook, 'Development of an analytic model of wing rock for slender delta wing,' Journal of Aircraft, vol. 26, no. 9, pp. 737-743, 1989   DOI   ScienceOn
4 Y. Wu, X. Yu, and Z. Man, 'Terminal sliding mode control design for uncertain dynamic systems,' System and Control Letter, vol. 34, no. 5, pp. 281-287, 1998   DOI   ScienceOn
5 S. J. Yoo, J. B. Park, and Y. H. Choi, 'Stable predictive control of chaotic systems using self-recurrent wavelet neural network,' International Journal of Control, Automation, and Systems, vol. 3, no. 1, pp. 43-55, 2005   과학기술학회마을
6 S. J. Yoo, Y. H. Choi, and J. B. Park, 'Generalized predictive control based on self recurrent wavelet neural network for stable path tracking of mobile robots: Adaptive learning rates approach,' IEEE Trans. on Circuits and Systems I: Regular Papers, vol. 53, no. 6, pp. 1381-1394, 2006   DOI   ScienceOn
7 J. Zhang, G. G. Walter, Y. Mao, and W. N. W. Lee, 'Wavelet neural networks for function learning,' IEEE Trans. Signal Processing, vol. 43, no. 6, pp. 1485-1497, 1995   DOI   ScienceOn
8 M. Zak, 'Terminal attractors for content addressable memory in neural networks,' Physics Letters, vol. 133, pp. 218-222, 1988
9 X. Yu and Z. Man, 'Multi-input uncertain linear systems with terminal sliding-mode control,' Automatica, vol. 34, no. 3, pp. 389-392, 1998   DOI   ScienceOn
10 C. F. Hsu, C. M. Lin, and T. Y. Chen, 'Wavelet adaptive backstepping control for a class of nonlinear systems,' IEEE Trans. on Neural Networks, vol. 17, no. 5, pp. 1175-1183, 2006   DOI   ScienceOn
11 J. J. Slotine and W. Li, Applied Nonlinear Control, Prentice-Hall, 1991
12 M. Zak, 'Terminal attractors in neural networks,' Neural Networks, vol. 2, no. 4, pp. 259-274, 1989   DOI   ScienceOn
13 C. H. Kim, S. J. Yoo, J. B. Park, and Y. H. Choi, 'Hybrid sliding mode control of 5-link biped robot in single support phase using a wavelet neural network,' Journal of Control, Automation and Systems Engineering, vol. 12, no. 11, pp. 1081-1087, 11, 2006   과학기술학회마을   DOI
14 S. Tzafestas, M. Raibert, and C. Tzafestas, 'Robust sliding-mode control applied to a 5-link biped robot,' Journal of Intelligent and Robotic Systems, vol. 15, no. 1, pp. 67-133, 1996   DOI
15 V. Utkin, J. Guldner, and J. Shi, Sliding Mode Control in Electromechanical Systems, Taylor & Francis, 1999
16 S. T. Venkataraman and S. Gulati, 'Control of nonlinear systems using terminal sliding modes,' Proc. of American Control Conference, pp. 891-893, 1989
17 Z. Man, A. P. Paplinski, and H. R Wu, 'A robust MIMO terminal sliding mode control scheme for rigid robotic manipulators,' IEEE Trans. on Automatic Control, vol. 39, no. 12, pp. 2464-2469, 1994   DOI   ScienceOn
18 S. Janardhanan and B. Bandyopadhyay, 'On discretization of continuous-time terminal sliding mode,' IEEE Trans. on Automatic Control, vol. 51, no. 9, pp. 1532-1536, 2006   DOI   ScienceOn
19 K. H. Kyung, B. H. Lee, and M. S. Ko, 'Acceleration based learning control of robotic manipulators using a multi-layered neural network,' IEEE Trans. on Systems, Man and Cybernetics, vol. 24, no. 8, pp. 1265-1272, 1994   DOI   ScienceOn