Journal Menu
- About this Journal
- Abstracting and Indexing
- Aims and Scope
- Annual Issues
- Article Processing Charges
- Articles in Press
- Author Guidelines
- Bibliographic Information
- Citations to this Journal
- Contact Information
- Editorial Board
- Editorial Workflow
- Free eTOC Alerts
- Publication Ethics
- Reviewers Acknowledgment
- Submit a Manuscript
- Subscription Information
- Table of Contents
Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 543039, 21 pages
doi: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
- 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.
- 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
- J. J. Slotine and W. Li, Applied Nonlinear Control), Prentice-Hall, Englewood Cliffs, NJ, USA, 1991.
- L. G. Wu, X. J. Su, and P. Shi, “Sliding mode control with bounded gain performance of Markovian jump singular time-delay systems,” Automatica, vol. 48, pp. 1929–1933, 2012.
- 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.
- 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.
- M. Ertugrul and O. Kaynak, “Neuro sliding mode control of robotic manipulators,” Mechatronics, vol. 10, pp. 243–267, 2000.
- 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
- 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
- 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.
- 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.
- 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
- 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.
- 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.
- 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
- 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.
- N. Sadati and R. Ghadami, “Adaptive multi-model sliding mode control of robotic manipulators using soft computing,” Neurocomputing, vol. 71, pp. 2702–2710, 2008.
- 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
- 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.
- 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.
- 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
- 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
- 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.
- 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.
- 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
- 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.
- 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.
- 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
- 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
- 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
- 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.
- 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
- 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
- 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.
- 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
- 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
- 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.
- L. X. Wang, “Stable adaptive fuzzy control of nonlinear systems,” IEEE Transactions on Fuzzy Systems, vol. 1, no. 2, pp. 146–155, 1993.
- 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
- 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
- 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.