Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2016, Article ID 3796486, 9 pages
http://dx.doi.org/10.1155/2016/3796486
Research Article

ADRC Method for Noncascaded Integral System Based on the Total Derivative of Composite Functions of Several Variables

1Merchant Marine College, Shanghai Maritime University, Shanghai 201306, China
2Institute of Power Plant and Automation, Shanghai Jiao Tong University, Shanghai 200030, China

Received 31 May 2016; Revised 13 October 2016; Accepted 30 October 2016

Academic Editor: Rafael Morales

Copyright © 2016 Zhijian Huang 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. Q. Zheng, Z. Chen, and Z. Gao, “A practical approach to disturbance decoupling control,” Control Engineering Practice, vol. 17, no. 9, pp. 1016–1025, 2009. View at Publisher · View at Google Scholar · View at Scopus
  2. K. Chang, Y. Xia, K. Huang, and D. Ma, “Obstacle avoidance and active disturbance rejection control for a quadrotor,” Neurocomputing, vol. 190, pp. 60–69, 2016. View at Publisher · View at Google Scholar · View at Scopus
  3. D. Wu, T. Zhao, K. Chen, and X. Wang, “Application of active disturbance rejection control to variable spindle speed noncircular turning process,” International Journal of Machine Tools and Manufacture, vol. 49, no. 5, pp. 419–423, 2009. View at Publisher · View at Google Scholar · View at Scopus
  4. M. Ran, Q. Wang, and C. Dong, “Stabilization of a class of nonlinear systems with actuator saturation via active disturbance rejection control,” Automatica, vol. 63, pp. 302–310, 2016. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  5. R. Shi, T. He, J. Peng, Y. Zhang, and W. Zhuge, “System design and control for waste heat recovery of automotive engines based on Organic Rankine Cycle,” Energy, vol. 102, pp. 276–286, 2016. View at Publisher · View at Google Scholar
  6. H. Zhang, J. Wang, G. Chen, and C. Yan, “A new hybrid control scheme for an integrated helicopter and engine system,” Chinese Journal of Aeronautics, vol. 25, no. 4, pp. 533–545, 2012. View at Publisher · View at Google Scholar · View at Scopus
  7. X. Yang, J. Cui, D. Lao, D. Li, and J. Chen, “Input Shaping enhanced Active Disturbance Rejection Control for a twin rotor multi-input multi-output system (TRMS),” ISA Transactions, vol. 62, pp. 287–298, 2016. View at Publisher · View at Google Scholar · View at Scopus
  8. Y. Sun, W. Liu, M. Su, X. Li, H. Wang, and J. Yang, “A unified modeling and control of a multi-functional current source-typed converter for V2G application,” Electric Power Systems Research, vol. 106, pp. 12–20, 2014. View at Publisher · View at Google Scholar
  9. A. Noshadi and M. Mailah, “Active disturbance rejection control of a parallel manipulator with self learning algorithm for a pulsating trajectory tracking task,” Scientia Iranica, vol. 19, no. 1, pp. 132–141, 2012. View at Publisher · View at Google Scholar · View at Scopus
  10. D. Wu, K. Chen, and X. Wang, “Tracking control and active disturbance rejection with application to noncircular machining,” International Journal of Machine Tools & Manufacture, vol. 47, no. 15, pp. 2207–2217, 2007. View at Publisher · View at Google Scholar · View at Scopus
  11. T. Jiang, C. Huang, and L. Guo, “Control of uncertain nonlinear systems based on observers and estimators,” Automatica. A Journal of IFAC, the International Federation of Automatic Control, vol. 59, pp. 35–47, 2015. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. W. Tan, Y. Hao, and D. Li, “Load frequency control in deregulated environments via active disturbance rejection,” International Journal of Electrical Power and Energy Systems, vol. 66, pp. 166–177, 2015. View at Publisher · View at Google Scholar · View at Scopus
  13. Z. Lei and C. Guo, “Disturbance rejection control solution for ship steering system with uncertain time delay,” Ocean Engineering, vol. 95, pp. 78–83, 2015. View at Publisher · View at Google Scholar · View at Scopus
  14. J. Li, X. Qi, Y. Xia, F. Pu, and K. Chang, “Frequency domain stability analysis of nonlinear active disturbance rejection control system,” ISA Transactions, vol. 56, pp. 188–195, 2015. View at Publisher · View at Google Scholar · View at Scopus
  15. J. Song, L. Wang, G. Cai, and X. Qi, “Nonlinear fractional order proportion-integral-derivative active disturbance rejection control method design for hypersonic vehicle attitude control,” Acta Astronautica, vol. 111, article no. 5364, pp. 160–169, 2015. View at Publisher · View at Google Scholar · View at Scopus
  16. C.-E. Huang, D. Li, and Y. Xue, “Active disturbance rejection control for the ALSTOM gasifier benchmark problem,” Control Engineering Practice, vol. 21, no. 4, pp. 556–564, 2013. View at Publisher · View at Google Scholar · View at Scopus
  17. D. Li, C. Li, Z. Gao, and Q. Jin, “On active disturbance rejection in temperature regulation of the proton exchange membrane fuel cells,” Journal of Power Sources, vol. 283, pp. 452–463, 2015. View at Publisher · View at Google Scholar · View at Scopus
  18. Z.-L. Zhao and B.-Z. Guo, “On active disturbance rejection control for nonlinear systems using time-varying gain,” European Journal of Control, vol. 23, pp. 62–70, 2015. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  19. S. Balajiwale, H. Arya, and A. Joshi, “Study of performance of ADRC for longitudinal control of MAV,” IFAC-PapersOnLine, vol. 49, no. 1, pp. 585–590, 2016. View at Publisher · View at Google Scholar
  20. G. Shen, Y. Xia, and H. Sun, “A 6DOF mathematical model of parachute in Mars EDL,” Advances in Space Research, vol. 55, no. 7, pp. 1823–1831, 2015. View at Publisher · View at Google Scholar · View at Scopus
  21. Q. Chen, L. Li, M. Wang, and L. Pei, “The precise modeling and active disturbance rejection control of voice coil motor in high precision motion control system,” Applied Mathematical Modelling, vol. 39, no. 19, pp. 5936–5948, 2015. View at Publisher · View at Google Scholar · View at Scopus
  22. Y. Shen, K. Shao, W. Ren, and Y. Liu, “Diving control of autonomous underwater vehicle based on improved active disturbance rejection control approach,” Neurocomputing, vol. 173, pp. 1377–1385, 2016. View at Publisher · View at Google Scholar
  23. Y. Wu and Q. Zheng, “ADRC or adaptive controller—a simulation study on artificial blood pump,” Computers in Biology and Medicine, vol. 66, pp. 135–143, 2015. View at Publisher · View at Google Scholar · View at Scopus
  24. J. Han, “Active disturbance rejection controller and its applications,” Control Decision, vol. 13, no. 1, pp. 19–23, 1998 (Chinese). View at Google Scholar
  25. J. Han, “From PID to active disturbance rejection control,” IEEE Transactions on Industrial Electronics, vol. 56, no. 3, pp. 900–906, 2009. View at Publisher · View at Google Scholar · View at Scopus
  26. A. Isidori, Nonlinear Control System, Springer, London, UK, 3rd edition, 1995.
  27. Y. Huang and W. Xue, “Active disturbance rejection control: methodology and theoretical analysis,” ISA Transactions, vol. 53, no. 4, pp. 963–976, 2014. View at Publisher · View at Google Scholar · View at Scopus
  28. M. Ramírez-Neria, H. Sira-Ramírez, R. Garrido-Moctezuma, and A. Luviano-Juárez, “Linear active disturbance rejection control of underactuated systems: the case of the Furuta pendulum,” ISA Transactions, vol. 53, no. 4, pp. 920–928, 2014. View at Publisher · View at Google Scholar · View at Scopus
  29. Z. Gao, “Scaling and bandwidth-parameterization based controller tuning,” in Proceedings of the American Control Conference, pp. 4989–4996, IEEE, Denver, Colo, USA, 2003.
  30. Z. Gao, “Active disturbance rejection control: a paradigm shift in feedback control system design,” in Proceedings of the American Control Conference, pp. 2399–2405, Minneapolis, Minn, USA, 2006.
  31. D. Wu and K. Chen, “Frequency-domain analysis of nonlinear active disturbance rejection control via the describing function method,” IEEE Transactions on Industrial Electronics, vol. 60, no. 9, pp. 3906–3914, 2013. View at Publisher · View at Google Scholar · View at Scopus
  32. H. Feng and B.-Z. Guo, “Output feedback stabilization of an unstable wave equation with general corrupted boundary observation,” Automatica, vol. 50, no. 12, pp. 3164–3172, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  33. L. Sun, D. Li, Z. Gao, Z. Yang, and S. Zhao, “Combined feedforward and model-assisted active disturbance rejection control for non-minimum phase system,” ISA Transactions, vol. 64, pp. 24–33, 2016. View at Publisher · View at Google Scholar
  34. Department of Applied Mathematics of Tongji University, Higher Mathematics (2), Version 5, Higher Education Press, Beijing, China, 2008.
  35. Z. Yan, “Controlling hyperchaos in the new hyperchaotic Chen system,” Applied Mathematics and Computation, vol. 168, no. 2, pp. 1239–1250, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus