Observer-based fault-tolerant control against sensor failures for fuzzy systems with time delays

Shaocheng Tong; Gengjiao Yang; Wei Zhang

International Journal of Applied Mathematics and Computer Science (2011)

  • Volume: 21, Issue: 4, page 617-627
  • ISSN: 1641-876X

Abstract

top
This paper addresses the problems of robust fault estimation and fault-tolerant control for Takagi-Sugeno (T-S) fuzzy systems with time delays and unknown sensor faults. A fuzzy augmented state and fault observer is designed to achieve the system state and sensor fault estimates simultaneously. Furthermore, based on the information of on-line fault estimates, an observer-based dynamic output feedback fault-tolerant controller is developed to compensate for the effect of faults by stabilizing the resulting closed-loop system. Sufficient conditions for the existence of both a state observer and a fault-tolerant controller are given in terms of linear matrix inequalities. A simulation example is given to illustrate the effectiveness of the proposed approach.

How to cite

top

Shaocheng Tong, Gengjiao Yang, and Wei Zhang. "Observer-based fault-tolerant control against sensor failures for fuzzy systems with time delays." International Journal of Applied Mathematics and Computer Science 21.4 (2011): 617-627. <http://eudml.org/doc/208074>.

@article{ShaochengTong2011,
abstract = {This paper addresses the problems of robust fault estimation and fault-tolerant control for Takagi-Sugeno (T-S) fuzzy systems with time delays and unknown sensor faults. A fuzzy augmented state and fault observer is designed to achieve the system state and sensor fault estimates simultaneously. Furthermore, based on the information of on-line fault estimates, an observer-based dynamic output feedback fault-tolerant controller is developed to compensate for the effect of faults by stabilizing the resulting closed-loop system. Sufficient conditions for the existence of both a state observer and a fault-tolerant controller are given in terms of linear matrix inequalities. A simulation example is given to illustrate the effectiveness of the proposed approach.},
author = {Shaocheng Tong, Gengjiao Yang, Wei Zhang},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {fuzzy time-delay systems; sensor faults; state observer; fault-tolerant control; linear matrix inequalities; stability analysis},
language = {eng},
number = {4},
pages = {617-627},
title = {Observer-based fault-tolerant control against sensor failures for fuzzy systems with time delays},
url = {http://eudml.org/doc/208074},
volume = {21},
year = {2011},
}

TY - JOUR
AU - Shaocheng Tong
AU - Gengjiao Yang
AU - Wei Zhang
TI - Observer-based fault-tolerant control against sensor failures for fuzzy systems with time delays
JO - International Journal of Applied Mathematics and Computer Science
PY - 2011
VL - 21
IS - 4
SP - 617
EP - 627
AB - This paper addresses the problems of robust fault estimation and fault-tolerant control for Takagi-Sugeno (T-S) fuzzy systems with time delays and unknown sensor faults. A fuzzy augmented state and fault observer is designed to achieve the system state and sensor fault estimates simultaneously. Furthermore, based on the information of on-line fault estimates, an observer-based dynamic output feedback fault-tolerant controller is developed to compensate for the effect of faults by stabilizing the resulting closed-loop system. Sufficient conditions for the existence of both a state observer and a fault-tolerant controller are given in terms of linear matrix inequalities. A simulation example is given to illustrate the effectiveness of the proposed approach.
LA - eng
KW - fuzzy time-delay systems; sensor faults; state observer; fault-tolerant control; linear matrix inequalities; stability analysis
UR - http://eudml.org/doc/208074
ER -

References

top
  1. Boukezzoula, R., Galichet, S. and Foulloy, L. (2007). Fuzzy feedback linearizing controller and its equivalence with the fuzzy nonlinear internal model control structure, International Journal of Applied Mathematics and Computer Science 17(2): 233-248, DOI: 10.2478/v10006-007-0021-4. Zbl1119.93357
  2. Cao, Y.Y. and Frank, P.M. (2000). Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach, IEEE Transactions on Fuzzy Systems 8(2): 200-211. 
  3. Cao, Y.Y. and Frank, P.M.(2001). Stability analysis and synthesis of nonlinear time-delay system via linear Takagi-Sugeno fuzzy models, Fuzzy Sets and Systems 124(2): 213-229. Zbl1002.93051
  4. Chen, B. and Liu, X.P. (2005). Delay-dependent robust H control for T-S fuzzy systems with time delay, IEEE Transactions on Fuzzy Systems 13(4): 543-555. 
  5. Chen, B. and Liu, X.P.(2004). Reliable control design of fuzzy dynamic systems with time-varying delay, Fuzzy Sets and Systems 146(3): 349-374. Zbl1055.93050
  6. Dong, J.X. and Yang, G.H. (2008). Dynamic output feedback control synthesis for continuous-time T-S fuzzy systems via a switched fuzzy control scheme, IEEE Transactions on Systems, Man, and Cybernetics, Part B 38(4): 1166-1175. 
  7. Gao, Z.F., Jiang, B., Qi, R.Y., Xu, Y.F. and Cheng, Y.H. (2010). Fuzzy observer design for near space vehicle with application to sensor fault estimation, ICIC Express Letters 4(1): 177-182. 
  8. Gao, Z., Shi, X. and Ding, S.X. (2008). Fuzzy state/disturbance observer design for T-S fuzzy systems with application to sensor fault estimation, IEEE Transactions on Systems, Man, and Cybernetics 38(3): 875-880. 
  9. Gassara, H., Hajjaji, A.E. and Chaabane, M. (2008). Robust H control for T-S fuzzy systems with time-varying delay, International Journal of Systems Science 41(12): 1481-1491. Zbl1206.93036
  10. Lin, C., Wang, Q.G. and Lee, T.H. (2006). Stability and stabilization of a class of fuzzy time-delay descriptor systems, IEEE Transactions on Fuzzy Systems 14(4): 542-551. 
  11. Liu, X.D. and Zhang, Q.L. (2003). New approaches to H controller designs based on fuzzy observers for T-S fuzzy systems via LMI, Automatica 39(9): 1571-1582. Zbl1029.93042
  12. Mao, Z.H. and Jiang, B. (2007). Fault identification and faulttolerant control for a class of networked control systems, International Journal of Innovative Computing, Information and Control 3(5): 1121-1130. 
  13. Miguel, B. and Hušek, P. (2005). Non-quadratic performance design for Takagi-Sugeno fuzzy systems, International Journal of Applied Mathematics and Computer Science 15(3): 383-391. Zbl1169.93355
  14. Nguang, S.K., Shi, P. and Ding, S.X. (2007 ). Fault detection for uncertain fuzzy systems: An LMI approach, IEEE Transactions on Fuzzy Systems 15(6): 1251-1262. 
  15. Shi, S.H., Yuan, Z.H. and Zhang, Q.L. (2009). Fault-tolerant H filter design of a class of switched systems with sensor failures, International Journal of Innovative Computing, Information and Control 5(11(A)): 3827-3838. 
  16. Tanaka, K.and Sugeno, M. (1992). Stability analysis and design of fuzzy control systems, Fuzzy Sets and Systems 45(2): 135-156. Zbl0758.93042
  17. Tanaka, K. and Wang, H.O.(2001). Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach, Wiley, New York, NY. 
  18. Tanaka, K., Ikeda, T.and Wang, H.O. (1998). Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI-based designs, IEEE Transactions on Fuzzy Systems 6(2): 250-265. 
  19. Takagi, T. and Sugeno, M. (1985). Fuzzy identification of systems and its applications to modeling and control, IEEE Transactions on Systems, Man, and Cybernetics, Part B 15(1): 116-132. Zbl0576.93021
  20. Tong, S., Wang, T.C. and Zhang, W. (2008). Fault tolerant control for uncertain fuzzy systems with actuator failures, International Journal of Innovative, Computing, Information and Control 4(10): 2461-2474. 
  21. Wu, H.N. and Bai, M.Z. (2010). Stochastic stability analysis and synthesis for nonlinear fault tolerant control systems based on the T-S fuzzy model, International Journal of Innovative Computing, Information and Control 6(9): 3989-4000. 
  22. Wu, H.N. and Li, H.X. (2007). New approach to delay-dependent stability analysis and stabilization for continuous-time fuzzy systems with time-varying delay, IEEE Transactions on Fuzzy Systems 15(3): 482-493. 
  23. Wu, H.N. (2004). Reliable LQ fuzzy control for continuous-time nonlinear systems with actuator faults, IEEE Transactions on Systems, Man and Cybernetics, Part B 34(4): 17431752. 
  24. Zhang, K. and Jiang, B. (2010). Dynamic output feedback fault tolerant controller design for Takagi-Sugeno fuzzy systems with actuator faults, IEEE Transactions on Fuzzy Systems 18(1): 194-201. 
  25. Zhou, C. (2002). Fuzzy-arithmetic-based Lyapunov synthesis in the design of stable fuzzy controllers: A computing-withwords approach, International Journal of Applied Mathematics and Computer Science 12(3): 411-421. Zbl1098.93023

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.