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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 6970146, 15 pages
https://doi.org/10.1155/2017/6970146
Research Article

Adaptive PID and Model Reference Adaptive Control Switch Controller for Nonlinear Hydraulic Actuator

Department of Automation, China University of Petroleum, Beijing 102200, China

Correspondence should be addressed to Jian-wei Liu; nc.ude.puc@wjuil

Received 4 September 2016; Revised 6 June 2017; Accepted 22 August 2017; Published 15 October 2017

Academic Editor: Stefan Balint

Copyright © 2017 Xin Zuo 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. A. Mohanty, S. Gayaka, and B. Yao, “An adaptive robust observer for velocity estimation in an electro-hydraulic system,” International Journal of Adaptive Control and Signal Processing, vol. 26, no. 12, pp. 1076–1089, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. D. X. Ba, K. K. Ahn, D. Q. Truong, and H. G. Park, “Integrated model-based backstepping control for an electro-hydraulic system,” International Journal of Precision Engineering and Manufacturing, vol. 17, no. 5, pp. 565–577, 2016. View at Publisher · View at Google Scholar · View at Scopus
  3. T. Samakwong and W. Assawinchaichote, “PID Controller Design for Electro-hydraulic Servo Valve System with Genetic Algorithm,” in Proceedings of the International Electrical Engineering Congress, iEECON 2016, pp. 91–94, tha, March 2016. View at Publisher · View at Google Scholar · View at Scopus
  4. Q. Zhou, L. Hongyi, C. Wu et al., “Adaptive fuzzy control of nonlinear systems with unmodeled dynamics and input saturation using small-gain approach,” Ieee Transactions on Man and Cybernetics Systems, vol. 99, pp. 1–11, 2016. View at Google Scholar
  5. B. Niu, C. K. Ahn, H. Li, and M. Liu, “Adaptive Control for Stochastic Switched Nonlower Triangular Nonlinear Systems and Its Application to a One-Link Manipulator,” IEEE Transactions on Systems, Man, and Cybernetics: Systems, pp. 1–14. View at Publisher · View at Google Scholar
  6. G. K. Lowe and M. A. Zohdy, “Modeling nonlinear systems using multiple piecewise linear equations,” Lithuanian Association of Nonlinear Analysts (LANA). Nonlinear Analysis. Modelling and Control, vol. 15, no. 4, pp. 451–458, 2010. View at Google Scholar · View at MathSciNet
  7. Q. Sang and G. Tao, “Adaptive control of piecewise linear systems: the state tracking case,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 57, no. 2, pp. 522–528, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. G. Feng, “Stability analysis of piecewise discrete-time linear systems,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 47, no. 7, pp. 1108–1112, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. E. D. Sontag, “Nonlinear regulation: the piecewise linear approach,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 26, no. 2, pp. 346–358, 1981. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. C. Briat, “Stability analysis and control of a class of LPV systems with piecewise constant parameters,” Systems and Control Letters, vol. 82, article no. 3921, pp. 10–17, 2015. View at Publisher · View at Google Scholar · View at Scopus
  11. Y. Han, Q. Cao, Y. Chen, and M. Wiercigroch, “Chaotic thresholds for the piecewise linear discontinuous system with multiple well potentials,” International Journal of Non-Linear Mechanics, vol. 70, pp. 145–152, 2015. View at Publisher · View at Google Scholar · View at Scopus
  12. Y. Lin, Y. Shi, and R. Burton, “Modeling and robust discrete-time sliding-mode control design for a fluid power electrohydraulic actuator (EHA) system,” IEEE/ASME Transactions on Mechatronics, vol. 18, no. 1, pp. 1–10, 2013. View at Publisher · View at Google Scholar · View at Scopus
  13. M. Chen and G. Feng, “Delay-Dependent H filtering of piecewise-linear systems with time-varying delays,” IEEE Transactions on Circuits and Systems. I. Regular Papers, vol. 55, no. 7, pp. 2087–2096, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  14. P. Doležel and I. Taufer, “Piecewise-linear artificial neural networks for PID controller tuning,” Acta Montanistica Slovaca, vol. 17, no. 3, pp. 224–233, 2012. View at Google Scholar · View at Scopus
  15. P. Dolezel, P. Rozsival, M. Mariska, and L. Havlicek, “PID controller design for nonlinear oscillative plants using piecewise linear neural network,” in Proceedings of the 2013 International Conference on Process Control, PC 2013, pp. 19–24, svk, June 2013. View at Publisher · View at Google Scholar · View at Scopus
  16. R. H. B. Fey, R. M. T. Wouters, and H. Nijmeijer, “Proportional and derivative control for steady-state vibration mitigation in a piecewise linear beam system,” Nonlinear Dynamics, vol. 60, no. 4, pp. 535–549, 2010. View at Publisher · View at Google Scholar · View at Scopus
  17. W. O. Dennis, Adaptive control of plants with jumping parameters [Master, thesis], Elective, University of Virginia, USA, 1995.
  18. P. Ioannou and J. Sun, Robust Adaptive Control, Prentice-Hall, Englewood Cliffs, NJ, 1996.
  19. S. P. Wen, Z. G. Zeng, T. W. Huang, and C. J. Li, “Passivity and passification of stochastic impulsive memristor-based piecewise linear system with mixed delays,” International Journal of Robust and Nonlinear Control, vol. 25, no. 4, pp. 610–624, 2015. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  20. M. Sastry, S. Sastry, and M. Bosdon, SBosdon, adaptive Control: Stability, Convergence and Robustness, Prentice-Hall, Englewood Cliffs, NJ, 1989.
  21. G. Tao, Adaptive Control Design and Analysis, John Wiley & Sons, Hoboken, NJ, USA, 2003. View at MathSciNet
  22. T. S. Tsay, “Adaptive piecwise linear controller for servo mechanical control systems,” Journal of Applied Mathematics and Physics, vol. 1, pp. 85–92, 2013. View at Publisher · View at Google Scholar
  23. O. Jay Oaks and G. Cook, “Piecewise Linear Control of Nonlinear Systems,” IEEE Transactions on Industrial Electronics and Control Instrumentation, vol. 23, no. 1, pp. 56–63, 1976. View at Publisher · View at Google Scholar · View at Scopus
  24. K. S. Narendra and L. S. Valavani, “Stable Adaptive Controller Design—Direct Control,” IEEE Transactions on Automatic Control, vol. 23, no. 4, pp. 570–583, 1978. View at Publisher · View at Google Scholar · View at Scopus
  25. K. S. Narendra, Y.-H. Lin, and L. S. Valavani, “Stable Adaptive Controller Design, Part II: Proof of Stability,” IEEE Transactions on Automatic Control, vol. 25, no. 3, pp. 440–448, 1980. View at Publisher · View at Google Scholar · View at Scopus
  26. J. H. Kim and S. J. Oh, “A fuzzy PID controller for nonlinear and uncertain systems,” Soft Computing, vol. 4, no. 2, pp. 123–129, 2000. View at Publisher · View at Google Scholar
  27. S. Bhattacharya, A. Chatterjee, and S. Munshi, “An improved PID-type fuzzy controller employing individual fuzzy P, fuzzy I and fuzzy D controllers,” Transactions of the Institute of Measurement & Control, vol. 25, no. 4, pp. 352–372, 2003. View at Publisher · View at Google Scholar · View at Scopus
  28. H. Shibata and N. Mitsukawa, “Comparison of robustness between adaptive control and PID control,” in Proceedings of the TENCON '93. IEEE Region 10 International Conference on Computers, Communications and Automation, pp. 34–37, Beijing, China. View at Publisher · View at Google Scholar
  29. Y. Bai and Q. Bai, Subsea Engineering Handbook, Gulf Professional Publishing, 2012.
  30. H. Gai, “Requirements of Downhole Flow Control Valves,” in Proceedings of the SPE Annual Technical Conference and Exhibition, Denver, Colorado, USA, 2003. View at Publisher · View at Google Scholar
  31. J. P. Hespanha and A. S. Morse, “Stability of Switched Systems With Average Dwell - Time EE-Systems,” in Proceedings of the Processing of the 38th Conference on Decision & Control, IEEE English Publishing, Phoenix, Arizona USA, Decemeber, 1999.
  32. D. Liberzon and A. S. Morse, “Basic problems in stability and design of switched systems,” IEEE Control Systems Magazine, vol. 19, no. 5, pp. 59–70, 1999. View at Publisher · View at Google Scholar · View at Scopus