About this Journal Submit a Manuscript Table of Contents
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 543039, 21 pages
http://dx.doi.org/10.1155/2012/543039
Research Article

Direct Adaptive Fuzzy Sliding Mode Control with Variable Universe Fuzzy Switching Term for a Class of MIMO Nonlinear Systems

1Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China
2School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471039, China

Received 8 October 2012; Accepted 18 November 2012

Academic Editor: Hamid Reza Karimi

Copyright © 2012 Guo Haigang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. H. Hu and P. Y. Woo, “Fuzzy supervisory sliding-mode and neural-network control for robotic manipulators,” IEEE Transactions on Industrial Electronics, vol. 53, no. 3, pp. 929–940, 2006. View at Google Scholar
  2. Z. S. Song, J. Q. Yi, D. B. Zhao, and X. Li, “A computed torque controller for uncertain robotic manipulator systems: fuzzy approach,” Fuzzy Sets and Systems, vol. 154, no. 2, pp. 208–226, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  3. J. J. Slotine and W. Li, Applied Nonlinear Control), Prentice-Hall, Englewood Cliffs, NJ, USA, 1991.
  4. L. G. Wu, X. J. Su, and P. Shi, “Sliding mode control with bounded L2 gain performance of Markovian jump singular time-delay systems,” Automatica, vol. 48, pp. 1929–1933, 2012. View at Google Scholar
  5. J. T. Fei M and Y. Xin, “Robust adaptive sliding mode controller for semi-active vehicle suspension system,” International Journal of Innovative Computing Information and Control, vol. 8, no. 1, pp. 691–700, 2012. View at Google Scholar
  6. Q. Khan, A. I. Bhatti, M. Iqbal, et al., “Dynamic integral sliding mode control for SISO uncertain nonlinear systems,” International Journal of Innovative Computing Information and Control, vol. 8, no. 7, pp. 4621–4633, 2012. View at Google Scholar
  7. M. Ertugrul and O. Kaynak, “Neuro sliding mode control of robotic manipulators,” Mechatronics, vol. 10, pp. 243–267, 2000. View at Google Scholar
  8. X. J. Su, P. Shi, L. G. Wu, et al., “A novel control design on discrete-time Takagi-Sugeno fuzzy systems with timevarying delays,” IEEE Transactions on Fuzzy Systems. In press. View at Publisher · View at Google Scholar
  9. X. J. Su, P. Shi, L. G. Wu, et al., “A novel approach to filter design for T-S fuzzy discrete-time systems with timevarying delay,” IEEE Transactions on Fuzzy Systems, vol. 20, no. 6, pp. 1114–1129, 2012. View at Publisher · View at Google Scholar
  10. L. X. Wang and J. M. Mendel, “Fuzzy basis functions, universal approximation, and orthogonal least-squares learning,” IEEE Transactions on Neural Networks, vol. 3, no. 5, pp. 807–814, 1992. View at Google Scholar
  11. L. G. Wu, X. J. Su, P. Shi, et al., “Model approximation for discrete-time state-delay systems in the T-S fuzzy framework,” IEEE Transactions on Fuzzy Systems, vol. 19, no. 2, pp. 366–378, 2011. View at Google Scholar
  12. Q. Zhou, P. Shi, S. Y. Xu, et al., “Adaptive output feedback control for nonlinear time-delay systems by fuzzy approximation approach. IEEE,” Transactions on Fuzzy Systems. In press. View at Publisher · View at Google Scholar
  13. Q. Zhou, P. Shi, J. J. Lu, et al., “Adaptive output-feedback fuzzy tracking control for a class of nonlinear systems,” IEEE Transactions on Fuzzy Systems, vol. 19, no. 5, pp. 972–982, 2011. View at Google Scholar
  14. T. C. Lin, S. W. Chang, and C. H. Hsu, “Robust adaptive fuzzy sliding mode control for a class of uncertain discrete-time nonlinear systems,” International Journal of Innovative Computing Information and Control, vol. 8, no. 1, pp. 347–359, 2012. View at Google Scholar
  15. M. Roopaei and M. Zolghadri Jahromi, “Chattering-free fuzzy sliding mode control in MIMO uncertain systems,” Nonlinear Analysis. Theory, Methods & Applications, vol. 71, no. 10, pp. 4430–4437, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  16. H. T. Yau and C. L. Chen, “Chattering-free fuzzy sliding-mode control strategy for uncertain chaotic systems,” Chaos, Solitons and Fractals, vol. 30, no. 3, pp. 709–718, 2006. View at Google Scholar
  17. N. Sadati and R. Ghadami, “Adaptive multi-model sliding mode control of robotic manipulators using soft computing,” Neurocomputing, vol. 71, pp. 2702–2710, 2008. View at Google Scholar
  18. H. Lee, E. Kim, H.-J. Kang, and M. Park, “A new sliding-mode control with fuzzy boundary layer,” Fuzzy Sets and Systems, vol. 120, no. 1, pp. 135–143, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  19. Y. R. Hwang and M. Tomizuka, “Fuzzy smoothing algorithms for variable structure systems,” IEEE Transactions on Fuzzy Systems, vol. 2, no. 4, pp. 277–284, 1994. View at Google Scholar
  20. M. H. Korayem, R. Haghighi, A. H. Korayem, et al., “Determining maximum load carrying capacity of planar flexiblelink robot: closed-loop approach,” Robotica, vol. 28, pp. 959–973, 2010. View at Google Scholar
  21. A. Boulkroune, M. Tadjine, M. M'Saad, and M. Farza, “Fuzzy adaptive controller for MIMO nonlinear systems with known and unknown control direction,” Fuzzy Sets and Systems, vol. 161, no. 6, pp. 797–820, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  22. J.-Y. Chen, “Rule regulation of fuzzy sliding mode controller design: direct adaptive approach,” Fuzzy Sets and Systems, vol. 120, no. 1, pp. 159–168, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  23. Y. Byungkook and H. Woonchul, “Adaptive fuzzy sliding mode control of nonlinear system,” IEEE Transactions on Fuzzy Systems, vol. 6, no. 2, pp. 315–321, 1998. View at Google Scholar
  24. H. F. Ho, Y. K. Wong, and A. B. Rad, “Robust fuzzy tracking control for robotic manipulators,” Simulation Modelling Practice and Theory, vol. 15, no. 7, pp. 801–816, 2007. View at Google Scholar
  25. S. Labiod, M. S. Boucherit, and T. M. Guerra, “Adaptive fuzzy control of a class of MIMO nonlinear systems,” Fuzzy Sets and Systems, vol. 151, no. 1, pp. 59–77, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  26. B. Yoo and W. Ham, “Adaptive fuzzy sliding mode control of nonlinear system,” IEEE Transactions on Fuzzy Systems, vol. 6, no. 2, pp. 315–321, 1998. View at Google Scholar
  27. S. Frikha, M. Djemel, and N. Derbel, “Observer based adaptive neuro-sliding mode control for MIMO nonlinear systems,” International Journal of Control, vol. 8, no. 2, pp. 257–265, 2010. View at Google Scholar
  28. P. T. Chan, A. B. Rad, and J. Wang, “Indirect adaptive fuzzy sliding mode control. II. Parameter projection and supervisory control,” Fuzzy Sets and Systems, vol. 122, no. 1, pp. 31–43, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  29. J. Wang, A. B. Rad, and P. T. Chan, “Indirect adaptive fuzzy sliding mode control. I. Fuzzy switching,” Fuzzy Sets and Systems, vol. 122, no. 1, pp. 21–30, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  30. M. Roopaei, M. Zolghadri, and S. Meshksar, “Enhanced adaptive fuzzy sliding mode control for uncertain nonlinear systems,” Communications in Nonlinear Science and Numerical Simulation, vol. 14, no. 9-10, pp. 3670–3681, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  31. P. A. Phan and T. J. Gale, “Direct Adaptive fuzzy control with less restrictions on the control gain,” International Journal of Control Automation and Systems, vol. 5, no. 6, pp. 621–629, 2007. View at Google Scholar
  32. S. Labiod and T. M. Guerra, “Direct adaptive fuzzy control for a class of MIMO nonlinear systems,” International Journal of Systems Science, vol. 38, no. 8, pp. 665–675, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  33. H.-X. Li, Z.-H. Miao, and E. S. Lee, “Variable universe stable adaptive fuzzy control of a nonlinear system,” Computers & Mathematics with Applications, vol. 44, no. 5-6, pp. 799–815, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  34. S. Aloui, O. Pages, A. El Hajjaji, et al., “Improved fuzzy sliding mode control for a class of MIMO nonlinear uncertain and perturbed systems,” Applied Soft Computing, vol. 11, pp. 820–826, 2011. View at Google Scholar
  35. H. X. Li, “Interpolation mechanism of fuzzy control,” Science in China E., vol. 41, no. 3, pp. 312–320, 1998. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  36. H. X. Li, “Adaptive fuzzy controllers based on variable universe,” Science in China E, vol. 42, no. 1, pp. 10–20, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  37. H. X. Li, “Essence of fuzzy control in mathematics and design on a class of high-accuracy fuzzy controller,” Control theory and Applications, vol. 14, no. 6, pp. 868–876, 1997. View at Google Scholar
  38. L. X. Wang, “Stable adaptive fuzzy control of nonlinear systems,” IEEE Transactions on Fuzzy Systems, vol. 1, no. 2, pp. 146–155, 1993. View at Google Scholar
  39. M. R. Faieghi, H. Delavari, and D. Baleanu, “A novel adaptive controller for two-degree of freedom polar robot with unknown perturbations,” Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 2, pp. 1021–1030, 2012. View at Publisher · View at Google Scholar
  40. V. Nekoukar and A. Erfanian, “Adaptive fuzzy terminal sliding mode control for a class of MIMO uncertain nonlinear systems,” Fuzzy Sets and Systems, vol. 179, pp. 34–49, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  41. Y. C. Chang, “Adaptive fuzzy-based tracking control for nonlinear SISO systems via VSS and approaches,” IEEE Transactions on Fuzzy Systems, vol. 9, pp. 278–292, 2001. View at Google Scholar