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2011 | 21 | 4 | 617-627
Tytuł artykułu

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

Treść / Zawartość
Warianty tytułu
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
Tom
21
Numer
4
Strony
617-627
Opis fizyczny
Daty
wydano
2011
otrzymano
2010-11-13
poprawiono
2011-04-10
Twórcy
  • Department of Mathematics, Liaoning University of Technology, 169 Shiying Street, Guta District, Jinzhou, 121001, PR China
  • Department of Mathematics, Liaoning University of Technology, 169 Shiying Street, Guta District, Jinzhou, 121001, PR China
autor
  • Department of Mathematics, Liaoning University of Technology, 169 Shiying Street, Guta District, Jinzhou, 121001, PR China
Bibliografia
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • Tanaka, K.and Sugeno, M. (1992). Stability analysis and design of fuzzy control systems, Fuzzy Sets and Systems 45(2): 135-156.
  • Tanaka, K. and Wang, H.O.(2001). Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach, Wiley, New York, NY.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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