Skip to main content
Log in

Active fault-tolerant control against actuator fault and performance analysis of the effect of time delay due to fault diagnosis

  • Regular Papers
  • Control Theory and Applications
  • Published:
International Journal of Control, Automation and Systems Aims and scope Submit manuscript

Abstract

This paper discusses the problem of fault-tolerant control against actuator fault, derives the time spent at each steps in fault diagnosis which is called as the time delay due to fault diagnosis and quantitatively analyzes its effect on the faulty system’s performance. A fault diagnosis algorithm is first proposed. The proposed fault tolerant controller is designed to guarantees that all signals in the closed-loop system are semi-globally uniformly ultimately bounded, where the controller singularity is avoided without projection algorithm. What’s more, the analytical expression of the time delay is derived strictly. Further, the quantitative analysis of system performance which is degraded by the time delay is developed, and the conditions that the magnitudes of the faults should be satisfied such that the faulty system controlled by the normal controller remains bounded even stable during the time delay are derived. In addition, the corresponding solution to the adverse effect of the time delay is proposed. Finally, an experimental test shows that the proposed control algorithm has a very reliable efficiency.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. B. Jiang, Z. Gao, P. Shi, and Y. Xu, “Adaptive fault-tolerant tracking control of near-space vehicle using Takagi-Sugeno fuzzy models,” IEEE Transactions on Fuzzy Systems, vol. 18, no. 5, pp. 1000–1007, 2010.

    Article  Google Scholar 

  2. Q. Shen, B. Jiang, and P. Shi, “Fault diagnosis for T-S fuzzy systems with sensor faults and system performance analysis,” IEEE Trans on Fuzzy Systems, vol. 22, no. 2, pp. 274–285, 2014.

    Article  Google Scholar 

  3. Q. Shen, B. Jiang, P. Shi, and J. Zhao, “Cooperative adaptive fuzzy tracking control for networked unknown nonlinear multi-agent systems with time-varying actuator Faults,” IEEE Trans on Fuzzy Systems, vol. 22, no. 3, pp. 494–504, 2014.

    Article  Google Scholar 

  4. X. G. Guo, Q. Gao, and Z. Xu, “Synthesis of lowcoefficient sensitivity controllers with respect to multiplicative controller coefficient variations,” IET Control Theory and Applications, vol. 9, no. 1, pp. 120–128, 2014.

    Article  MathSciNet  Google Scholar 

  5. M. Zhang, X. Shen and T. Li, “Fault tolerant attitude control for cubeSats with input saturation based on dynamic adaptive neural network,” International Journal of Innovative Computing, Information and Control, vol. 12, no. 2, pp. 651–663, 2016.

    Google Scholar 

  6. X.-J. Li, G.-H. Yang, “Robust adaptive fault-tolerant control for uncertain linear systems with actuator failures,” IET Control Theory and Applications, vol. 6, no. 6, pp. 1544–1551, 2012.

    Article  MathSciNet  Google Scholar 

  7. J. Zhao, B. Jiang, P. Shi and Z. He, “Fault tolerant control for damaged aircraft based on sliding mode control scheme,” International Journal of Innovative Computing, Information and Control, vol. 10, no. 1, pp. 293–302, 2014.

    Google Scholar 

  8. W. Cai, X. Xiao, and Y. Song, “Indirect robust adaptive fault-tolerant control for attitude tracking of spacecraft,” Journal of Guidance, Control and Dynamics, vol. 31, no. 5, pp. 1456–1463, 2008. [click]

    Article  Google Scholar 

  9. Q. L. Hu, P. Shi, and H. J. Gao, “Adaptive variable structure and commanding shaped vibration control of flexible spacecraft,” Journal of Guidance, Control, and Dynamics, vol. 30, no. 3, pp. 804–815, 2007. [click]

    Article  Google Scholar 

  10. S. K. Nguang, and P. Shi, “H∞ fuzzy output feedback control design for nonlinear systems: An LMI approach,” IEEE Transactions on Fuzzy Systems, vol. 11, no. 3, pp. 331–340, 2003.

    Article  Google Scholar 

  11. W. Sun, Y. Zhao, J. Li, L. Zhang, and H. Gao. “Active suspension control with frequency band constraints and actuator input delay,” IEEE Transactions on Industrial Electronics, vol. 59, no. 1, pp. 530–537, 2011.

    Google Scholar 

  12. W. Wang, and C. Wen, “Adaptive actuator failure compensation for uncertain nonlinear systems with guaranteed transient performance,” Automatica, vol. 46, no. 12, pp. 2082–2091, 2010.

    Article  MathSciNet  MATH  Google Scholar 

  13. W. Wang, and C. Wen, “Adaptive compensation for infinite number of actuator failures or faults,” Automatica, vol. 47, no. 12, pp. 2197–2210, 2011. [click]

    Article  MathSciNet  MATH  Google Scholar 

  14. J. Chen, and R. J. Patton, Robust Model-based Fault Diagnosis for Dynamics Systems. Boston: Kluwer Academic Publishers, 1999.

    Book  MATH  Google Scholar 

  15. Y. Gritli, L. Zarri, C. Rossi, F. Filippetti, G. Capolino, and D. Casadei, “Advanced diagnosis of electrical faults in wound-rotor induction machines,” IEEE Transactions on Industrial Electronics, vol. 60, no. 9, pp. 4012–4024, 2013.

    Article  Google Scholar 

  16. W. Chen, and M. Saif, “Actuator fault diagnosis for a class of nonlinear systems and its application to a laboratory 3D crane,” Automatica, vol. 47, no. 7, pp. 1435–1442, 2011. [click]

    Article  MathSciNet  MATH  Google Scholar 

  17. S. K. Nguang, P. Shi, and S. Ding, “Fault detection for uncertain fuzzy systems: An LMI approach,” IEEE Transactions Fuzzy Systems, vol. 15, no. 6, pp. 1251–1262, 2007.

    Article  Google Scholar 

  18. Y. Zhao, J. Lam, and H. Gao, “Fault detection for fuzzy systems with intermittent measurements,” IEEE Transactions Fuzzy Systems, vol. 17, no. 2, pp. 398–410, 2009.

    Article  Google Scholar 

  19. B. Jiang, M. Staroswiecki, and V. Cocquempot, “Fault accommodation for nonlinear dynamic systems,” IEEE Transactions on Automatic Control, vol 51, no. 9, pp. 1578–1583, 2006.

    Article  MathSciNet  Google Scholar 

  20. B. Jiang, K. Zhang, and P. Shi, “Less conservative criteria for fault accommodation of time-varying delay systems using adaptive fault diagnosis observer,” International Journal of Adaptive Control and Signal Processing, vol. 24, no. 4, pp. 322–334, 2010. [click]

    Article  MathSciNet  MATH  Google Scholar 

  21. S. A. Arogeti, D. Wang, B. L. Chang, and M. Yu, “Fault detection isolation and estimation in a vehicle steering System,” IEEE Transactions on Industrial Electronics, vol. 59, no. 12, pp. 4810–4820, 2012.

    Article  Google Scholar 

  22. J. Y. Shin, W. E. Wu, and C. Belcastro, “Adaptive linear parameter varying control synthesis for actuator failure,” Journal of Guide, Control and Dynamics, vol. 27, vol. 27, no. 5, pp. 787–794, 2004.

    Article  Google Scholar 

  23. X. Zhang, T. Parisini, and M. M. Polycarpou, “Adaptive fault-tolerant control of nonlinear uncertain systems: An information-based diagnostic approach,” IEEE Transactions on Automatic Control, vol. 49, no. 8, pp. 1259–1274, 2004.

    Article  MathSciNet  Google Scholar 

  24. X. Zhang, M. M. Polycarpou, and T. Parisini, “A robust detection and isolation scheme for abrupt and incipient fault in nonlinear systems,” IEEE Transactions on Automatic Control, vol. 47, no. 4, pp. 576–593, 2002.

    Article  MathSciNet  MATH  Google Scholar 

  25. Y. Wang, D. Zhou, S. J. Qin, and H. Wang, “Active faulttolerant control for a class of nonlinear systems with actuator faults,” International Journal of Control, Automation, and Systems, vol. 6, no. 3, pp. 339–350, 2008.

    Google Scholar 

  26. W. J. Chen, and J. Jiang, “Fault-tolerant control against stuck actuator faults,” IET Control Theory and Applications, vol. 152, pp. 138–146, 2005.

    Article  Google Scholar 

  27. J. Y. Shin, and C. Belcastro, “Performance analysis on fault tolerant control system,” IEEE Transactions on Control Systems Technology, vol. 14, no. 5, pp. 920–25, 2006.

    Article  Google Scholar 

  28. H. Yang, B. Jiang, and M. Staroswiecki, “Supervisory fault tolerant control for a class of uncertain nonlinear systems,” Automatica, vol. 45, no. 10, pp. 2319–2324, 2009. [click]

    Article  MathSciNet  MATH  Google Scholar 

  29. M. Staroswiecki, H. Yang, and B. Jiang, “Progressive accommodation of parametric faults in linear quadratic control,” Automatica, vol. 43, no. 12, pp. 2070–2076, 2006. [click]

    Article  MathSciNet  MATH  Google Scholar 

  30. B. C. Zheng and Y. M. Xue, “A sliding sector approach to quantized feedback variable structure control,” International Journal of Control, Automation, and Systems, vol. 11, no. 6, pp. 1177–1186, 2013. [click]

    Article  MathSciNet  Google Scholar 

  31. X. G. Guo, Q. Gao, and Z. Xu, “Synthesis of lowcoefficient sensitivity controllers with respect to multiplicative controller coefficient variations,” IET Control Theory and Applications, vol. 9, no. 1, pp. 120–128, 2014.

    Article  MathSciNet  Google Scholar 

  32. L. X. Wang, Adaptive Fuzzy Systems and Control: Design and Stability Analysis, Prentice-Hall, Englewood Cliffs, 1994.

    Google Scholar 

  33. G. Cai, Ben.-M. Chen, and Tong.-H. Lee, Unmanned Rotorcraft System, Springer-Verlag. 2011.

    Book  MATH  Google Scholar 

  34. A. Ioannis, Raptis, Kimon P. Valavanis, “Linear tracking control for small-scale unmanned helicopters,” IEEE Transactions on Control Systems Technology, vol. 20, no. 4, pp. 995–1010, 2012.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Qikun Shen.

Additional information

Recommended by Associate Editor Guang-Hong Yang under the direction of Editor Duk-Sun Shim. This work was supported in part by the National Natural Science Foundation of China ( 61473250, 61490703, 61573112), the Australian Research Council (DP140102180, LP140100471), the Natural Science Foundation of Jiangsu Higer Educatuion Institution (14KJB120013), and a Project Funded by the Priority Academic Program Development (PAPD) of Jiangsu Higher Education Institutions.

Qikun Shen received the BSc degree in Computer Science and Applications from Chinese University of Mining and Technology, Xuzhou, China in 1996, the MSc degree in Computer Science and Applications from Yangzhou University, Yangzhou, China in 2007, and the Ph.D degree in control theorem and control applications from the College of Automation Engineering in Nanjing University of Aeronautics and Astronautics, Nanjing, China in 2015. He is currently an associate professor in College of Information Engineering, Yangzhou University. His research interests include distributed control, consensus control, fault-tolerant control, adaptive control, fuzzy control, neural networks-based control and intelligent control, etc.

Bin Jiang receiveded the Ph.D. degree in Automatic Control from Northeastern University, Shenyang, China, in 1995. He had ever been postdoctoral fellow, research fellow, invited professor and visiting professor in Singapore, France,USA and Canada, respectively. Now he is a Chair Professor of Cheung Kong Scholar Program in Ministry of Education and Dean of College of Automation Engineering in Nanjing University of Aeronautics and Astronautics, China. He currently serves as Associate Editor or Editorial Board Member for a number of journals such as IEEE Trans. On Control Systems Technology; IEEE Trans. On Fuzzy Systems; Int. J. Of Control, Automation and Systems; Nonlinear Analysis: Hybrid Systemsˇcˇnetc. He is a senior member of IEEE, Chair of Control Systems Chapter in IEEE Nanjing Section, a member of IFAC Technical Committee on Fault Detection, Supervision, and Safety of Technical Processes. His research interests include intelligent fault diagnosis and fault tolerant control and their applications.

Peng Shi received the B.Sc degree from Harbin Institute of Technology; the M.E degree from Harbin Engineering University, China, respectively; the Ph.D degree in Electrical Engineering from the University of Newcastle, and the Ph.D degree in Mathematics from the University of South Australia, Australia, respectively. He was awarded the Doctor of Science degree by the University of Glamorgan, UK in 2006, and the Doctor of Engineering degree by the University of Adelaide, Australia in 2015.

He is now a professor in the University of Adelaide, and Victoria University, Australia. He is also an adjunct professor in Harbin Engineering University, China. He was a professor in the University of Glamorgan, UK, and a senior scientist in the Defence Science and Technology Organisation, Australia. His research interests include system and control theory, computational and intelligent systems, and operational research. He has actively served in the editorial board of a number of journals, including Automatica; IEEE Transactions on Automatic Control; IEEE Transactions on Cybernetics, IEEE Transactions on Fuzzy Systems; IEEE Transactions on Circuits and Systems; and IEEE Access. He was the Chair of Control Aerospace and Electronic Systems Chapter, IEEE South Australia Section, and is now a College of Expert member, Australian Research Council. He is a Fellow of the Institute of Electrical and Electronic Engineers; the Institution of Engineering and Technology; and the Institute of Mathematics and its Applications; and serves as an IEEE Distinguished Lecturer.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shen, Q., Jiang, B. & Shi, P. Active fault-tolerant control against actuator fault and performance analysis of the effect of time delay due to fault diagnosis. Int. J. Control Autom. Syst. 15, 537–546 (2017). https://doi.org/10.1007/s12555-015-0307-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12555-015-0307-5

Keywords

Navigation