Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2017, Article ID 5186025, 11 pages
https://doi.org/10.1155/2017/5186025
Research Article

Data-Driven Robust Control of Unknown MIMO Nonlinear System Subject to Input Saturations and Disturbances

1College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2Nanhang Jincheng College, Nanjing 211156, China

Correspondence should be addressed to Li Wang; moc.361@6111gnaw-il

Received 15 June 2017; Revised 8 August 2017; Accepted 9 August 2017; Published 10 September 2017

Academic Editor: Asier Ibeas

Copyright © 2017 Li Wang 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. J. de Jesús Rubio, “Discrete time control based in neural networks for pendulums,” Applied Soft Computing, 2017. View at Publisher · View at Google Scholar
  2. Y. Pan, M. J. Er, T. Sun, B. Xu, and H. Yu, “Adaptive fuzzy PD control with stable H∞ tracking guarantee,” Neurocomputing, vol. 237, pp. 71–78, 2017. View at Publisher · View at Google Scholar · View at Scopus
  3. J. de Jesús Rubio, L. Zhang, E. Lughofer, P. Cruz, A. Alsaedi, and T. Hayat, “Modeling and control with neural networks for a magnetic levitation system,” Neurocomputing, vol. 227, pp. 113–121, 2017. View at Publisher · View at Google Scholar · View at Scopus
  4. Y. Pan, Y. Liu, B. Xu, and H. Yu, “Hybrid feedback feedforward: An efficient design of adaptive neural network control,” Neural Networks, vol. 76, pp. 122–134, 2016. View at Publisher · View at Google Scholar · View at Scopus
  5. D. G. Ward and J. F. Monaco, “System identification for retrofit reconfigurable control of an F/A-18 aircraft,” Journal of Aircraft, vol. 42, no. 1, pp. 63–72, 2005. View at Publisher · View at Google Scholar · View at Scopus
  6. C. Tan, G. Tao, and R. Qi, “An adaptive control scheme using multiple reference models,” International Journal of Adaptive Control and Signal Processing, vol. 28, no. 11, pp. 1290–1298, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. M. Chen and W.-H. Chen, “Disturbance-observer-based robust control for time delay uncertain systems,” International Journal of Control, Automation and Systems, vol. 8, no. 2, pp. 445–453, 2010. View at Publisher · View at Google Scholar · View at Scopus
  8. J. Zhao, B. Jiang, F. N. Chowdhury, and P. Shi, “Active fault-tolerant control for near space vehicles based on reference model adaptive sliding mode scheme,” International Journal of Adaptive Control and Signal Processing, vol. 28, no. 9, pp. 765–777, 2014. View at Publisher · View at Google Scholar · View at Scopus
  9. R. K. Lim and M. Q. Phan, “Identification of a multistep-ahead observer and its application to predictive control,” Journal of Guidance, Control, and Dynamics, vol. 20, no. 6, pp. 1200–1206, 1997. View at Publisher · View at Google Scholar · View at Scopus
  10. J. M. Lee and J. H. Lee, “Approximate dynamic programming-based approaches for input-output data-driven control of nonlinear processes,” Automatica. A Journal of IFAC, the International Federation of Automatic Control, vol. 41, no. 7, pp. 1281–1288, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. A. Lecchini, M. C Campi, and S. M Savaresi, “Virtual reference feedback tuning for two degree of freedom controllers,” International Journal of Adaptive Control & Signal Processing, vol. 16, no. 5, pp. 2416–2421, 2002. View at Google Scholar
  12. J. D. J. Rubio and W. Yu, “Stability analysis of nonlinear system identification via delayed neural networks,” IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 54, no. 2, pp. 161–165, 2007. View at Publisher · View at Google Scholar · View at Scopus
  13. H. Zhang, L. Cui, X. Zhang, and Y. Luo, “Data-driven robust approximate optimal tracking control for unknown general nonlinear systems using adaptive dynamic programming method,” IEEE Transactions on Neural Networks, vol. 22, no. 12, pp. 2226–2236, 2011. View at Publisher · View at Google Scholar · View at Scopus
  14. Q. Wei, R. Song, and P. Yan, “Data-driven zero-sum neuro-optimal control for a class of continuous-time unknown nonlinear systems with disturbance using ADP,” IEEE Transactions on Neural Networks and Learning Systems, vol. 27, no. 2, pp. 444–458, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  15. F. Wang, Q. Zou, C. Hua, and Q. Zong, “Disturbance observer-based dynamic surface control design for a hypersonic vehicle with input constraints and uncertainty,” Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering, vol. 230, no. 6, pp. 522–536, 2016. View at Publisher · View at Google Scholar · View at Scopus
  16. L. Lu and B. Yao, “Online constrained optimization based adaptive robust control of a class of MIMO nonlinear systems with matched uncertainties and input/state constraints,” Automatica. A Journal of IFAC, the International Federation of Automatic Control, vol. 50, no. 3, pp. 864–873, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  17. M. Chen, G. Tao, and B. Jiang, “Dynamic surface control using neural networks for a class of uncertain nonlinear systems with input saturation,” IEEE Transactions on Neural Networks and Learning Systems, vol. 26, no. 9, pp. 2086–2097, 2015. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. J. Ma, S. S. Ge, Z. Zheng, and D. Hu, “Adaptive NN control of a class of nonlinear systems with asymmetric saturation actuators,” IEEE Transactions on Neural Networks and Learning Systems, vol. 26, no. 7, pp. 1532–1538, 2015. View at Publisher · View at Google Scholar · View at Scopus
  19. Q. Zhou, P. Shi, Y. Tian, and M. Wang, “Approximation-Based Adaptive Tracking Control for MIMO Nonlinear Systems with Input Saturation,” IEEE Transactions on Cybernetics, vol. 45, no. 10, pp. 2119–2128, 2015. View at Publisher · View at Google Scholar · View at Scopus
  20. Z. Chen, Z. Li, and C. L. P. Chen, “Adaptive Neural Control of Uncertain MIMO Nonlinear Systems With State and Input Constraints,” IEEE Transactions on Neural Networks and Learning Systems, 2016. View at Publisher · View at Google Scholar · View at Scopus
  21. J. de Jesús Rubio, “Sliding mode control of robotic arms with deadzone,” IET Control Theory & Applications, vol. 11, no. 8, pp. 1214–1221, 2017. View at Google Scholar
  22. C. Aguilar-Ibanez, H. Sira-Ramirez, and M. S. Suarez-Castanon, “A linear active disturbance rejection control for a ball and rigid triangle system,” Mathematical Problems in Engineering, Article ID 1358930, Art. ID 1358930, 11 pages, 2016. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  23. J. D. J. Rubio, “Hybrid controller with observer for the estimation and rejection of disturbances,” ISA Transactions, vol. 65, pp. 445–455, 2016. View at Publisher · View at Google Scholar · View at Scopus
  24. E. Lavretsky, “K A Wise, Robust and Adaptive Control,” Advanced Textbooks in Control Signal Processing, vol. 11, no. 96, pp. 367–372, 2013. View at Google Scholar
  25. M. M. Polycarpou, “Stable adaptive neural control scheme for nonlinear systems,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 41, no. 3, pp. 447–451, 1996. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  26. S. S. Ge and C. Wang, “Adaptive neural control of uncertain MIMO nonlinear systems,” IEEE Transactions on Neural Networks, vol. 15, no. 3, pp. 674–692, 2004. View at Publisher · View at Google Scholar · View at Scopus
  27. R. Enns and J. Si, “Helicopter trimming and tracking control using direct neural dynamic programming,” IEEE Transactions on Neural Networks, vol. 14, no. 4, pp. 929–939, 2003. View at Publisher · View at Google Scholar · View at Scopus
  28. S. Mohammad-Hoseini, M. Farrokhi, and A. J. Koshkouei, “Robust adaptive control of uncertain non-linear systems using neural networks,” International Journal of Control, vol. 81, no. 8, pp. 1319–1330, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  29. H. Chen, Y. Gong, and X. Hong, “Online modeling with tunable RBF network,” IEEE Transactions on Systems Man and Cybernetics Part B Cybernetics A Publication of the IEEE Systems Man and Cybernetics Society, vol. 43, no. 3, pp. 935–947, 2013. View at Google Scholar
  30. S. Doudou and F. Khaber, “Adaptive fuzzy control of a class of SISO nonaffine nonlinear systems,” in Proceedings of the 1st Mediterranean Conference on Intelligent Systems and Automation, CISA '08, pp. 103–108, dza, July 2008. View at Publisher · View at Google Scholar · View at Scopus