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Tytuł artykułu

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

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Języki publikacji
EN
Abstrakty
EN
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.
Rocznik
Strony
617--627
Opis fizyczny
Bibliogr. 25 poz., wykr.
Twórcy
autor
autor
autor
  • Department of Mathematics, Liaoning University of Technology 169 Shiying Street, Guta District, Jinzhou, 121001, PR China, jztsc@sohu.com
Bibliografia
  • [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.
  • [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.
  • [4] Chen, B. and Liu, X. P. (2005). Delay-dependent robust H infinity 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.
  • [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 infinity control for T-S fuzzy systems with time-varying delay, International Journal of Systems Science 41(12): 1481- 1491.
  • [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 infinity controller designs based on fuzzy observers for T-S fuzzy systems via LMI, Automatica 39(9): 1571-1582.
  • [12] Mao, Z. H. and Jiang, B. (2007). Fault identification and fault-tolerant 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.
  • [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 infinity 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.
  • [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.
  • [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): 1743-1752.
  • [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-with words approach, International Journal of Applied Mathematics and Computer Science 12(3): 411-421.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ1-0073-0032
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