Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
권호 표지
DOI QR코드

DOI QR Code

Static Output-Feedback-Based Robust Fault Tolerant Controller Design

정적 출력궤환 기반 강인 고장포용 제어기 설계

  • Jee, Sung Chul (Department of Electronic Engineering, Inha University) ;
  • Moon, Ji Hyun (Department of Electronic Engineering, Inha University) ;
  • Lee, Ho Jae (Department of Electronic Engineering, Inha University)
  • Received : 2013.05.20
  • Accepted : 2013.05.28
  • Published : 2013.07.01
Download PDF
⟨ Previous Next ⟩

Abstract

This paper addresses the robust fault tolerant controller design problems of static output systems with disturbance. The fault is expressed by the abrupt chattering of system parameters. The design conditions are derived in terms of linear matrix inequalities and linear matrix equalities. An illustrative example is provided to verify performances of the proposed controller.

Keywords

References

  1. S. C. Jee, H. J. Lee, and D. W. Kim, "Observer-based fault tolerant controller design for multi-UAV systems," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 18, no. 5, pp. 540-545, May 2012. https://doi.org/10.5302/J.ICROS.2012.18.5.407
  2. S. C. Jee, H. J. Lee, and D. W. Kim, "Observer-based fault tolerant controller design for T-S fuzzy systems," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 17, no. 11, pp. 1154-1158, Nov. 2012. https://doi.org/10.5302/J.ICROS.2011.17.11.1154
  3. X. Cai and F. Wu, "Robust parameter-dependent fault-tolerant control for actuator and sensor faults," Internal Journal Control, vol. 83, no. 7, pp. 1475-1484, Jun. 2010. https://doi.org/10.1080/00207179.2010.481024
  4. G. Tao, S. M. Joshi, and X. Ma, "Adaptive state feedback and tracking control of systems with actuator failures," IEEE Transactions on Automatic Control, vol. 46, no. 1, pp. 78-95, Jan. 2001. https://doi.org/10.1109/9.898697
  5. S. Ye, Y. Zhang, X. Wang, and B. Jiang, "Fault-tolerant control for a class of uncertain systems with actuator faults," Innovative Computing, Information and Control (ICICIC), 2009 Fourth International Conference on, pp. 1519-1522, Dec. 2009.
  6. S. Ye, Y. Zhang, X. Wang, and Y. Li, "An improved LMI approach for static output feedback fault-tolerant control with application to flight tracking control," Proc. of Industrial Electronics and Applications, 2009. ICIEA 2009. 4th IEEE Conference on, pp. 35-40, May 2009.
  7. H. J. Lee and D. W. Kim, "Robust stabilization of T-S fuzzy systems: Fuzzy static output feedback under parametric uncertainty," International Journal of Control Automation and Systems, vol. 7, no. 5, pp. 731-736, Oct. 2009. https://doi.org/10.1007/s12555-009-0505-0
  8. X. G. Yan, C. Edwards, and S. K. Spurgeon, "Decentralised robust sliding model control for a class of nonlinear interconnected systems by static output feedback," Automatica, vol. 40, pp. 613-620, Apr. 2004. https://doi.org/10.1016/j.automatica.2003.10.025
  9. W. H. Lee, C. G. Park, D. H. Lee, and K. H. Kim, "Improvement of the double fault detection performance of extended parity space approach," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 15, no. 10, pp. 1002-1008, Oct. 2009. https://doi.org/10.5302/J.ICROS.2009.15.10.1002
  10. H. J. Lee and D. W. Kim, "$\mathfrak{H}_{-}$ fault detection observer design for large scale time-invariant systems," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 15, no. 8, pp. 818-822, Aug. 2009. https://doi.org/10.5302/J.ICROS.2009.15.8.818
  11. J. Liu, J. L. Wang, and G.-H. Yang, "An LMI approach to minimum sensitivity analysis with application to fault detection," Automatica, vol. 41, no. 11, pp. 1995-2004, Nov. 2005. https://doi.org/10.1016/j.automatica.2005.06.005
  12. J. L. Wang, G.-H. Yang, and J. Liu, "An LMI approach to $\mathfrak{H}_{-}$ index and mixed ${\mathfrak{H}}_{-}{\mid}{\mathfrak{H}}_{\infty}$ fault detection observer design," Automatica, vol. 43, no. 9, pp. 1656-1665, Sep. 2007. https://doi.org/10.1016/j.automatica.2007.02.019
  13. L. Bai, Z. Tian, and S. Shi, "Design of ${\mathfrak{H}}_{\infty}$ robust fault detection filter for linear uncertain time-delay systems," ISA Transactions, vol. 45, no. 4, pp. 491-502, Sep. 2006. https://doi.org/10.1016/S0019-0578(07)60227-4
  14. J. Guo, X. Huang, and Y. Cui, "Design and analysis of robust fault detection filter using LMI tools," Computers & Mathematics with Applications, vol. 57, pp. 1743-1747, Jun. 2009. https://doi.org/10.1016/j.camwa.2008.10.032
  15. W. Xing, Q. Zhang, J. Zhang, and Q. Wang, "Some geometric properties of Lyapunov equation and LTI system," Automatica, vol. 37, no. 2, pp. 313-316, Feb. 2001. https://doi.org/10.1016/S0005-1098(00)00146-1

Cited by

  1. Static Output Feedback Control for Continuous T-S Fuzzy Systems vol.21, pp.6, 2015, https://doi.org/10.5302/J.ICROS.2015.15.0041