Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2015, Article ID 510738, 12 pages
http://dx.doi.org/10.1155/2015/510738
Research Article

Robust Adaptive PID Controller for a Class of Uncertain Nonlinear Systems: An Application for Speed Tracking Control of an SI Engine

1Department of Industrial Engineering, Khon Kaen University, Khon Kaen 40002, Thailand
2Department of Mechanical Engineering, Khon Kaen University, Khon Kaen 40002, Thailand

Received 12 October 2014; Accepted 25 February 2015

Academic Editor: Kacem Chehdi

Copyright © 2015 Tossaporn Chamsai 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. K.-C. Hsu, W.-Y. Wang, and P.-Z. Lin, “Sliding mode control for uncertain nonlinear systems with multiple inputs containing sector nonlinearities and deadzones,” IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, vol. 34, no. 1, pp. 374–380, 2004. View at Publisher · View at Google Scholar · View at Scopus
  2. G. Bartolini and A. Ferrara, “Multi-input sliding mode control of a class of uncertain nonlinear systems,” IEEE Transactions on Automatic Control, vol. 41, no. 11, pp. 1662–1666, 1996. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  3. T.-C. Kuo, Y.-J. Huang, and S.-H. Chang, “Sliding mode control with self-tuning law for uncertain nonlinear systems,” ISA Transactions, vol. 47, no. 2, pp. 171–178, 2008. View at Publisher · View at Google Scholar · View at Scopus
  4. G. Montaseri and M. J. Yazdanpanah, “Predictive control of uncertain nonlinear parabolic PDE systems using a Galerkin/neural-network-based model,” Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 1, pp. 388–404, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  5. F. O. Tellez, A. G. Loukianov, E. N. Sanchez, and E. Jose Bayro Corrochano, “Decentralized neural identification and control for uncertain nonlinear systems: application to planar robot,” Journal of the Franklin Institute, vol. 347, no. 6, pp. 1015–1034, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. A. Bazaei and V. J. Majd, “Feedback linearization of discrete-time nonlinear uncertain plants via first-principles-based serial neuro-gray-box models,” Journal of Process Control, vol. 13, no. 8, pp. 819–830, 2003. View at Publisher · View at Google Scholar · View at Scopus
  7. T.-Y. Kuc and W.-G. Han, “An adaptive PID learning control of robot manipulators,” Automatica, vol. 36, no. 5, pp. 717–725, 2000. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. Y. Pan, Y. Zhou, T. Sun, and M. J. Er, “Composite adaptive fuzzy H tracking control of uncertain nonlinear systems,” Neurocomputing, vol. 99, pp. 15–24, 2013. View at Publisher · View at Google Scholar · View at Scopus
  9. X. Liu, R. Tao, and M. Tavakoli, “Adaptive control of uncertain nonlinear teleoperation systems,” Mechatronics, vol. 24, no. 1, pp. 66–78, 2014. View at Publisher · View at Google Scholar · View at Scopus
  10. W.-D. Chang and J.-J. Yan, “Adaptive robust PID controller design based on a sliding mode for uncertain chaotic systems,” Chaos, Solitons & Fractals, vol. 26, no. 1, pp. 167–175, 2005. View at Publisher · View at Google Scholar · View at Scopus
  11. T. C. Kuo, Y. J. Huang, C. Y. Chen, and C. H. Chang, “Adaptive sliding mode control with PID tuning for uncertain system,” Engineering Letters, vol. 16, no. 3, pp. 1–5, 2008. View at Google Scholar
  12. M. N. Howell and M. C. Best, “On-line PID tuning for engine idle-speed control using continuous action reinforcement learning automata,” Control Engineering Practice, vol. 8, no. 2, pp. 147–154, 2000. View at Publisher · View at Google Scholar · View at Scopus
  13. C.-F. Hsu and B.-K. Lee, “FPGA-based adaptive PID control of a DC motor driver via sliding-mode approach,” Expert Systems with Applications, vol. 38, no. 9, pp. 11866–11872, 2011. View at Publisher · View at Google Scholar · View at Scopus
  14. D. W. Memering and P. H. Meckl, “Comparison of adaptive control techniques applied to diesel engine idle speed regulation,” Journal of Dynamic Systems, Measurement and Control, vol. 124, no. 4, pp. 682–688, 2002. View at Publisher · View at Google Scholar · View at Scopus
  15. V. I. Utkin, “Sliding mode control design principles and applications to electric drives,” IEEE Transactions on Industrial Electronics, vol. 40, no. 1, pp. 23–36, 1993. View at Publisher · View at Google Scholar · View at Scopus
  16. Y. J. Huang and T. C. Kuo, “Robust output tracking control for nonlinear time-varying robotic manipulators,” Electrical Engineering, vol. 87, no. 1, pp. 47–55, 2005. View at Publisher · View at Google Scholar · View at Scopus
  17. M. Hajatipour and M. Farrokhi, “Chattering free with noise reduction in sliding-mode observers using frequency domain analysis,” Journal of Process Control, vol. 20, no. 8, pp. 912–921, 2010. View at Publisher · View at Google Scholar · View at Scopus
  18. A. Sabanovic, L. Fridman, and S. Spurgeon, Variable Structure Systems: From Principles to Implementation, The Institution of Engineering and Technology, 2004.
  19. Y. Xu, “Chattering free robust control for nonlinear systems,” IEEE Transactions on Control Systems Technology, vol. 16, no. 6, pp. 1352–1359, 2008. View at Publisher · View at Google Scholar · View at Scopus
  20. H. Lee and V. I. Utkin, “Chattering suppression methods in sliding mode control systems,” Annual Reviews in Control, vol. 31, no. 2, pp. 179–188, 2007. View at Publisher · View at Google Scholar · View at Scopus
  21. Y. Ren, Z. Liu, L. Chang, and N. Wen, “Adaptive sliding mode robust control for virtual compound-axis servo system,” Mathematical Problems in Engineering, vol. 2013, Article ID 343851, 9 pages, 2013. View at Publisher · View at Google Scholar · View at Scopus
  22. M.-L. Tseng and M.-S. Chen, “Chattering reduction of sliding mode control by low-pass filtering the control signal,” Asian Journal of Control, vol. 12, no. 3, pp. 392–398, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  23. H. Sira-RamÍRez, “On the dynamical sliding mode control of nonlinear systems,” International Journal of Control, vol. 57, no. 5, pp. 1039–1061, 1993. View at Publisher · View at Google Scholar · View at MathSciNet
  24. J.-X. Xu, Y.-J. Pan, and T.-H. Lee, “Sliding mode control with closed-loop filtering architecture for a class of nonlinear systems,” IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 51, no. 4, pp. 168–173, 2004. View at Publisher · View at Google Scholar · View at Scopus
  25. A. Deenadayalan and G. S. Ilango, “Position sensorless sliding mode observer with sigmoid function for Brushless DC motor,” in Proceedings of the International Conference on Advances in Power Conversion and Energy Technologies (APCET '12), pp. 1–6, IEEE, August 2012. View at Publisher · View at Google Scholar · View at Scopus
  26. Y. Xia, X. Yu, and W. Oghanna, “Adaptive robust fast control for induction motors,” IEEE Transactions on Industrial Electronics, vol. 47, no. 4, pp. 854–862, 2000. View at Publisher · View at Google Scholar · View at Scopus
  27. M. Niclai, Theory of Nonlinear Control Systems, McGraw-Hill, 1969.
  28. J. J. Slotine and W. Li, Applied Nonlinear Control, Prentice-Hall, Englewood Cliffs, NJ, USA, 1991.
  29. D. Gorinevsky and L. A. Feldkamp, “RBF network feedforward compensation of load disturbance in idle speed control,” IEEE Control Systems, vol. 16, no. 6, pp. 18–27, 1996. View at Publisher · View at Google Scholar · View at Scopus
  30. S. Di Cairano, D. Yanakiev, A. Bemporad, I. V. Kolmanovsky, and D. Hrovat, “Model predictive idle speed control: design, analysis, and experimental evaluation,” IEEE Transactions on Control Systems Technology, vol. 20, no. 1, pp. 84–97, 2012. View at Publisher · View at Google Scholar · View at Scopus
  31. P. F. Puleston, S. Spurgeon, and G. Monsees, “Automotive engine speed control: a robust nonlinear control framework,” IEE Proceedings: Control Theory and Applications, vol. 148, no. 1, pp. 81–87, 2001. View at Publisher · View at Google Scholar · View at Scopus
  32. Y. Yildiz, A. M. Annaswamy, D. Yanakiev, and I. Kolmanovsky, “Spark-ignition-engine idle speed control: an adaptive control approach,” IEEE Transactions on Control Systems Technology, vol. 19, no. 5, pp. 990–1002, 2011. View at Publisher · View at Google Scholar · View at Scopus
  33. A. Sugeng, K. Baharin, T. Hishamuddin, and J. B. Supriyo, “Engine speed control using online ANN for vehicle with EMDAP-CVT,” Jurnal Mekanikal, vol. 22, pp. 39–52, 2006. View at Google Scholar
  34. M. K. Khan, K. B. Goh, and S. K. Spurgeon, “Second order sliding mode control of a diesel engine,” Asian Journal of Control, vol. 5, no. 4, pp. 614–619, 2003. View at Google Scholar · View at Scopus
  35. J. R. Wagner, D. M. Dawson, and L. Zeyu, “Nonlinear air-to-fuel ratio and engine speed control for hybrid vehicles,” IEEE Transactions on Vehicular Technology, vol. 52, no. 1, pp. 184–195, 2003. View at Publisher · View at Google Scholar · View at Scopus
  36. F. Assadian, S. Fekri, and M. Hancock, “Hybrid electric vehicles challenges: strategies for advanced engine speed control,” in Proceedings of the IEEE International Electric Vehicle Conference (IEVC '12), March 2012. View at Publisher · View at Google Scholar · View at Scopus
  37. A. G. Ulsoy, H. Peng, and M. Çakmakci, Automotive Control Systems, Cambridge University Press, Cambridge, UK, 2014.
  38. C. Ji and S. Wang, “Strategies for improving the idle performance of a spark-ignited gasoline engine,” International Journal of Hydrogen Energy, vol. 37, no. 4, pp. 3938–3944, 2012. View at Publisher · View at Google Scholar · View at Scopus
  39. S. Wang, C. Ji, M. Zhang, and B. Zhang, “Reducing the idle speed of a spark-ignited gasoline engine with hydrogen addition,” International Journal of Hydrogen Energy, vol. 35, no. 19, pp. 10580–10588, 2010. View at Publisher · View at Google Scholar · View at Scopus
  40. D. Hrovat and J. Sun, “Models and control methodologies for IC engine idle speed control design,” Control Engineering Practice, vol. 5, no. 8, pp. 1093–1100, 1997. View at Publisher · View at Google Scholar · View at Scopus
  41. B. Alt, J. P. Blath, F. Svaricek, and M. Schultalbers, “Multiple sliding surface control of idle engine speed and torque reserve with dead start assist control,” IEEE Transactions on Industrial Electronics, vol. 56, no. 9, pp. 3580–3592, 2009. View at Publisher · View at Google Scholar · View at Scopus
  42. T. Radpukdee and P. Jirawattana, “Uncertainty learning and compensation: an application to pressure tracking of an electro-hydraulic proportional relief valve,” Control Engineering Practice, vol. 17, no. 2, pp. 291–301, 2009. View at Publisher · View at Google Scholar · View at Scopus
  43. P. A. Loannou and J. Sun, Robust Adaptive Control, PTR Prentice-Hall, 1996.
  44. C. D. Richard and H. B. Robert, Modern Control Systems, Prentice Hall, Upper Saddle River, NJ, USA, 2011.
  45. A. Jansri and P. Sooraksa, “Enhanced model and fuzzy strategy of air to fuel ratio control for spark ignition engines,” Computers & Mathematics with Applications, vol. 64, no. 5, pp. 922–933, 2012. View at Publisher · View at Google Scholar · View at Scopus
  46. Z. Ye, “Modeling, identification, design, and implementation of nonlinear automotive idle speed control systems—an overview,” IEEE Transactions on Systems, Man and Cybernetics Part C: Applications and Reviews, vol. 37, no. 6, pp. 1137–1151, 2007. View at Publisher · View at Google Scholar · View at Scopus