We apologize for a recent technical issue with our email system, which temporarily affected account activations. Accounts have now been activated. Authors may proceed with paper submissions. PhDFocusTM
CFP last date
20 December 2024
Call for Paper
January Edition
IJCA solicits high quality original research papers for the upcoming January edition of the journal. The last date of research paper submission is 20 December 2024

Submit your paper
Know more
The week's pick
Responsive image
Improved Shuffled Frog Leaping Algorithm with Self-Adaptive Shuffling for Fuzzy Logic PD+G Controller Optimization in Robotic Manipulators

Duc Hoang Nguyen
Random Articles
Reseach Article

Takagi-Sugeno Fuzzy System based Stable Direct Adaptive Control of Nonlinear Systems

by Bharat Bhushan, Sudarshan K. Valluru, Madhusudan Singh
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 68 - Number 15
Year of Publication: 2013
Authors: Bharat Bhushan, Sudarshan K. Valluru, Madhusudan Singh
10.5120/11657-7172

Bharat Bhushan, Sudarshan K. Valluru, Madhusudan Singh . Takagi-Sugeno Fuzzy System based Stable Direct Adaptive Control of Nonlinear Systems. International Journal of Computer Applications. 68, 15 ( April 2013), 30-36. DOI=10.5120/11657-7172

@article{ 10.5120/11657-7172,
author = { Bharat Bhushan, Sudarshan K. Valluru, Madhusudan Singh },
title = { Takagi-Sugeno Fuzzy System based Stable Direct Adaptive Control of Nonlinear Systems },
journal = { International Journal of Computer Applications },
issue_date = { April 2013 },
volume = { 68 },
number = { 15 },
month = { April },
year = { 2013 },
issn = { 0975-8887 },
pages = { 30-36 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume68/number15/11657-7172/ },
doi = { 10.5120/11657-7172 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:27:56.077286+05:30
%A Bharat Bhushan
%A Sudarshan K. Valluru
%A Madhusudan Singh
%T Takagi-Sugeno Fuzzy System based Stable Direct Adaptive Control of Nonlinear Systems
%J International Journal of Computer Applications
%@ 0975-8887
%V 68
%N 15
%P 30-36
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper proposes a novel idea for stable direct adaptive control of nonlinear systems using Lyapunov function with fuzzy approach. Stable direct adaptive control law consists of an ideal control, and a sliding mode control. Sliding mode controller is used to ensure the stability of Lyapunov function. Stability of direct adaptive control law is tested on two nonlinear systems. Non linear systems analyzed are ball beam system and cart pole system. A computer simulation is performed on nonlinear systems by using MATLAB.

References
  1. Ramaswamy, M. Riese, R. M. Edwards and K. Y. Lee, "Two Approaches For Automating the Tuning Process of Fuzzy Logic Controllers," Proc. of IEEE Int. Conf. on Decision and Control, pp. 1753-1758, 1993.
  2. C. T. Ayday and I. Eksin, "Fuzzy Identification of Nonlinear Systems," Proc. of IEEE Int. Conf. , pp. 289-292, 1993.
  3. C. Y. Shieh and S. S. Nair, "A New Self Tuning Fuzzy Controller Design and Experiments," Proc. of IEEE Int. Conf. , pp. 309-314, 1993.
  4. D. J. Pack, M. Meng and A. C. Kak, "Comparative Study of Motion Control Methods for a Nonlinear System," Proc. of IEEE Int. Conf. pp. 1413-1418, 1993.
  5. Sudarshan K Valluru and T. N. Rao, "Introduction to Neural Networks, Fuzzy Logic and Genetic Algorithms" Jaico Publishing House, Mumbai, 2011.
  6. C. K. Chak and G. Feng, "Nonlinear System Control with Fuzzy Logic Design," Proc. of IEEE Int. Conf. , pp. 1592-1596, 1994.
  7. S. C. Lin and Y. Y. Chen, "Design of Adaptive Fuzzy Sliding Mode for Nonlinear System Control," Proc. of IEEE Int. Conf. , pp. 35-39, 1994.
  8. C. C. Kung and C. C. Liao, "Fuzzy-Sliding Mode Controller Design for Tracking Control of Nonlinear System," Proc. of American Control Conference, pp. 180-184, June 1994.
  9. Z. M. Yeh, "A Decentralized Fuzzy Logic Controller Design," Proc. of IEEE Int. Conf. , pp. 602-607, 1994.
  10. S. S. Farinwata, "Robust Stability of Fuzzy Logic Control Systems," Proc. of American Control Conference, pp. 2267-2271, June 1995.
  11. C. Y. Tsai and T. H. S. Li, "Design of Lyapunov Based Fuzzy Logic Controller," Proc. of IEEE Int. Conf. , pp. 396-401, 1996.
  12. S. Jeoung, J. Han, K. Im and W. Ham, "Adaptive Fuzzy Sliding Mode Control of Nonlinear System: The Second Control Scheme," Proc. of IEEE Int. Conf. , pp. 269-274, 1996.
  13. F. H. F. Leung, L. K. Wong and P. K. S. Tam, "Fuzzy model based controller for an inverted pendulum," Electronic Letters, vol. 32, no. 18, pp. 1683-1685, 1996.
  14. Y. Tang, N. Zhang and Y. Li, "Stable Fuzzy Logic Control of a Class of Nonlinear Systems," Proc. of IEEE Int. Conf. , pp. 361-365, 1996.
  15. S. Lei and R. Langari, " An approach to Synthesis and Approximation of Stable Fuzzy Logic Controllers," Proc. of IEEE Int. Conf. , pp. 1446- 1452, 1996.
  16. E. P. Dadios and D. J. Williams, "Multiple Fuzzy Logic Systems: A Controller for the Flexible Pole-Cart Balancing Problem," Proc. of IEEE Int. Conf. on Robotics and Automation, pp. 2276-2281, 1996.
  17. S. Jagannathan, "Adaptive Fuzzy Logic Control of Feedback Linearizable Discrete-Time Nonlinear Systems," Proc. of IEEE Int. Conf. , pp. 133-138, 1996.
  18. L. K. Wong, F. H. F. Leung and P. K. S. Tam, "Lyapunov function Based Design of Heuristic Fuzzy Logic Controllers," Proc. of IEEE Int. Conf. , pp. 281-285, 1997.
  19. L. K. Wong, F. H. F Leung and P. K. S. Tam, " Lyapunov Function Based Design of Fuzzy Logic Controllers and its Application on Combining Controllers," IEEE Trans. On Industrial Electronics, vol. 45, no. 3, pp. 502-509, 1998.
  20. B. Yoo and W. Ham, " Adaptive Fuzzy Sliding Mode Control of Nonlinear System," IEEE Trans. On Fuzzy Systems, vol. 6, no. 2, pp. 315-321, May 1998.
  21. W. Li, "Design of a Hybrid Fuzzy Logic Proportional Plus conventional Integral-Derivative Controller," IEEE Transaction on Fuzzy Systems, vol. 6, no. 4, pp. 449-463, Nov. 1998.
  22. P. Y. Guo, Z. H. Guang and Z. Bien, "Design of fuzzy direct adaptive controller and stability analysis for a class of nonlinear system," Proc. of the American Control Conferences, pp. 2274-2279, 1998.
  23. W. Chang, Y. H. Joo, J. B. Park and G. Chen, "Robust Fuzzy Model Based Controller for Uncertain Systems," Proc. of IEEE Int. Fuzzy Systems Conf. , pp. 486-491, 1999.
  24. H. Han and C. Y. Su, "Further Results on Adaptive Control of a Class of Nonlinear Systems with Fuzzy Logic," Proc. of IEEE Int. Fuzzy Systems Conf. , pp. 1309-1314, 1999.
  25. B. K. Yoo and W. C. Ham, "Adaptive Control of Robot Manipulators using Fuzzy Compensator, Part-II," Proc. of the IEEE Int. Conf. on Intelligent Robots and Systems," pp. 52-57, 1999.
  26. E. Kim, H. Lee and M. Park, "Limit Cycle Prediction of a Fuzzy Control System Based on Describing Function Method," IEEE Transactions on Fuzzy Systems, vol. 8, no. 1, pp. 11-22, Feb. 2000.
  27. B. K. Yoo and W. C. Ham , "Adaptive Control of Robot Manipulator using Fuzzy Compensator," IEEE Transaction on Fuzzy Systems, vol. 8, no. 2, pp. 186-199, April 2000.
  28. W. J. Chang, "Model Based Fuzzy Controller Design with Common Observability Gramian Assignment," Journal of Dynamic Systems, Measurement and Control, vol. 123, pp. 113-116, March 2001.
  29. P. P. Mohanlal and M. R. Kaimal, "Exact Fuzzy Modeling and Optimal Control of the Inverted Pendulum on Cart," Proc. of the IEEE Conf. on Decision and Control, pp. 3255-3260, 2002.
  30. M. Petrov, I. Ganchev and A. Taneva, "Fuzzy PID Control of Nonlinear Plants," Proc. Of IEEE Int. Symposium, pp. 30-35, 2000.
  31. W. Chang, J. B. Park, Y. H. Joo and G. Chen, "Output Feedback Fuzzy Control for Uncertain Nonlinear Systems," Journal of Dynamic Systems, Measurement and Control, vol. 125, pp. 521-530, 2003.
  32. Z. Vicek, "Analysis of Autoregressive Fuzzy Systems," Proc. of IEEE Int. Conf. , pp. 1233-1238, 2004. .
  33. Y. H. Cheng, X. S. Wang and J. Q. Yi, "Fuzzy Variable Structure Control For Trajectory Tracking of Two Link Flexible Manipulators," Proc. of IEEE Int. Conf. on Machine Learning and Cybernetics, pp. 711-714, 2003.
  34. J. Yu, W. Gu and Y. Zhang, "New Adaptive Fuzzy Sliding Mode Control System for SISO Nonlinear System," Proc. of the 5th World Congress on Intelligent Control and Automation, pp. 1196-1199, 2004.
  35. Z. Chen, C. Shan and H. Zhu, "Adaptive Fuzzy Sliding Mode Control Algorithm for a Non-Affine Nonlinear System," IEEE Transactions on Industrial Informatics, vol. 3, no. 4, pp. 302-311, 2007.
  36. C. H. Lee, B. R. Chung, F. K. Chang and S. K. Chang, "Adaptive Back stepping Control for a Class of Nonlinear Uncertain Systems Using Fuzzy Neural Networks," Proc. Of IEEE Int. Conf. on Machine Learning and Cybernetics, pp. 431-436, 2007.
  37. S. L. C. Maciel, O. Castillo, L. T. Aguilar and J. R. Castro, " A T-S Fuzzy Logic Controller for Biped Robot Walking based on Adaptive Network Fuzzy Inference System," Proc of Int. Joint Conf on Neural Networks, pp. 1-8, 2010.
Index Terms

Computer Science
Information Sciences

Keywords

Fuzzy system Lyapunov function adaptive control ball beam system and cart pole system

Powered by PhDFocusTM