Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2015, Article ID 896382, 8 pages
http://dx.doi.org/10.1155/2015/896382
Research Article

Fuzzy Adaptive Prescribed Performance Control for Uncertain Horizontal Platform System with Unknown Control Gain

Department of Mathematics, Huainan Normal University, Huainan 232038, China

Received 11 August 2015; Revised 7 November 2015; Accepted 10 November 2015

Academic Editor: Yang Tang

Copyright © 2015 Wei Xiang 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. D. X. Yang and J. L. Zhou, “Connections among several chaos feedback control approaches and chaotic vibration control of mechanical systems,” Communications in Nonlinear Science and Numerical Simulation, vol. 19, no. 11, pp. 3954–3968, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. Y. Chen, X. Wu, and Z. Liu, “Global chaos synchronization of electro-mechanical gyrostat systems via variable substitution control,” Chaos, Solitons and Fractals, vol. 42, no. 2, pp. 1197–1205, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  3. Y.-J. Sun, “A novel chaos synchronization of uncertain mechanical systems with parameter mismatchings, external excitations, and chaotic vibrations,” Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 2, pp. 496–504, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  4. X. F. Wu, J. P. Cai, and M. H. Wang, “Master-slave chaos synchronization criteria for the horizontal platform systems via linear state error feedback control,” Journal of Sound and Vibration, vol. 295, no. 1-2, pp. 378–387, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  5. N.-S. Pai and S.-P. Chang, “Design and implementation of fuzzy sliding mode controllers for generalized projective synchronization of chaos horizontal platform systems,” Computers and Mathematics with Applications, vol. 64, no. 5, pp. 709–720, 2012. View at Publisher · View at Google Scholar · View at Scopus
  6. K. Ding and Q.-L. Han, “Master-slave synchronization criteria for horizontal platform systems using time delay feedback control,” Journal of Sound and Vibration, vol. 330, no. 11, pp. 2419–2436, 2011. View at Publisher · View at Google Scholar · View at Scopus
  7. X. F. Wu, J. P. Cai, and M. H. Wang, “Robust synchronization of chaotic horizontal platform systems with phase difference,” Journal of Sound and Vibration, vol. 305, no. 3, pp. 481–491, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. N.-S. Pai and H.-T. Yau, “Suppression of chaotic behavior in horizontal platform systems based on an adaptive sliding mode control scheme,” Communications in Nonlinear Science and Numerical Simulation, vol. 16, no. 1, pp. 133–143, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. M. P. Aghababa and H. P. Aghababa, “Synchronization of mechanical horizontal platform systems in finite time,” Applied Mathematical Modelling, vol. 36, no. 10, pp. 4579–4591, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. W. Xiang and X. J. Liu, “An adaptive fuzzy sliding mode control design for a class of uncertain horizontal platform systems,” Abstract and Applied Analysis, vol. 2014, Article ID 154383, 6 pages, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. L. Long and J. Zhao, “Adaptive fuzzy tracking control of switched uncertain nonlinear systems with unstable subsystems,” Fuzzy Sets and Systems, vol. 273, no. 15, pp. 49–67, 2015. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. 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 MathSciNet · View at Scopus
  13. T. P. Zhang and X. N. Xia, “Decentralized adaptive fuzzy output feedback control of stochastic nonlinear large-scale systems with dynamic uncertainties,” Information Sciences, vol. 315, no. 10, pp. 17–38, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  14. H. X. Zhang, F. Shi, and Y. T. Liu, “Enhancing optimal excitation control by adaptive fuzzy logic rules,” International Journal of Electrical Power and Energy Systems, vol. 63, pp. 226–235, 2014. View at Publisher · View at Google Scholar · View at Scopus
  15. A. Senouci and A. Boukabou, “Predictive control and synchronization of chaotic and hyperchaotic systems based on a T-S fuzzy model,” Mathematics and Computers in Simulation, vol. 105, pp. 62–78, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  16. C. P. Bechlioulis and G. A. Rovithakis, “Robust adaptive control of feedback linearizable MIMO nonlinear systems with prescribed performance,” IEEE Transactions on Automatic Control, vol. 53, no. 9, pp. 2090–2099, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. J. Na, Q. Chen, X. M. Ren, and Y. Guo, “Adaptive prescribed performance motion control of servo mechanisms with friction compensation,” IEEE Transactions on Industrial Electronics, vol. 61, no. 1, pp. 486–494, 2014. View at Publisher · View at Google Scholar · View at Scopus
  18. Y. G. Sun and H. Liu, “Fuzzy adaptive prescribed performance control for MIMO uncertain chaotic systems in nonstrict feedback form,” Discrete Dynamics in Nature and Society, vol. 2014, Article ID 192387, 6 pages, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus