A new approach to observer-based fault-tolerant controller design for Takagi-Sugeno fuzzy systems with state delay

Circuits, Systems, and Signal Processing

Volumn 28, Issue 5, 2009, Pages 679-697

  Zhang, Ke ^a   Jiang, Bin ^a   Shi, Peng ^b,c,d  

^a NANJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS   (China)

^b UNIVERSITY OF GLAMORGAN   (United Kingdom)

^c VICTORIA UNIVERSITY   (Australia)

^d UNIVERSITY OF SOUTH AUSTRALIA   (Australia)

Author keywords

Active fault tolerant control; Fault estimation; LMIs; T S fuzzy models; Time delay systems

Indexed keywords

ACTIVE FAULT-TOLERANT CONTROL; FAULT ESTIMATION; LMIS; T-S FUZZY MODELS; TIME-DELAY SYSTEMS;

ADAPTIVE CONTROL SYSTEMS; CONTROLLERS; ESTIMATION; FAILURE ANALYSIS; FEEDBACK CONTROL; FUZZY SYSTEMS; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; TIME DELAY;

DELAY CONTROL SYSTEMS;

EID: 70349272305     PISSN: 0278081X     EISSN: 15315878     Source Type: Journal    
DOI: 10.1007/s00034-009-9109-4     Document Type: Article

References (40)

1. M. Blanke, M. Kinnaert, J. Lunze, M. Staroswiecki, Diagnosis and Fault-Tolerant Control (Springer, Berlin, 2006)
2. Y.Y. Cao, P.M. Frank, Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models. Fuzzy Sets Syst. 124(2), 213-229 (2001)
3. J. Chen, R.J. Patton, Robust Model-based Fault Diagnosis for Dynamic Systems (Kluwer Academic, Norwell, 1999)
4. W. Chen, M. Saif, An iterative learning observer for fault detection and accommodation in nonlinear time-delay systems. Int. J. Robust Nonlinear Control 16(1), 1-19 (2006)
5. B. Chen, X. Liu, S. Tong, Delay-dependent stability analysis and control synthesis of fuzzy dynamic systems with time delay. Fuzzy Sets Syst. 157(16), 2224-2240 (2006)
6. H.H. Choi, LMI-based nonlinear fuzzy observer-controller design for uncertain MIMO nonlinear systems. IEEE Trans. Fuzzy Syst. 15(5), 956-971 (2007)
7. M. Corless, J. Tu, State and input estimation for a class of uncertain systems. Automatica 34(6), 757-764 (1998)
8. C. Edwards, X.G. Yan, S.K. Spurgeon, On the solvability of the constrained Lyapunov problem. IEEE Trans. Automat. Contr. 52(10), 1982-1987 (2007)
9. A. Fekih, H. Xu, F.N. Chowdhury, Neural networks based system identification techniques for model based fault detection of nonlinear systems. Int. J. Innov. Comput. Inf. Control 3(5), 1073-1085 (2007)
10. ∞ estimation for uncertain systems with limited communication capacity. IEEE Trans. Automat. Contr. 52(11), 2070-2084 (2007)
11. H. Gao, T. Chen, Stabilization of nonlinear systems under variable sampling: A fuzzy control approach. IEEE Trans. Fuzzy Syst. 15(5), 972-983 (2007)
12. H. Gao, T. Chen, L. Wang, Robust fault detection with missing measurements. Int. J. Control 81(5), 804-819 (2008)
13. L. Guo, F. Yang, J. Fang, Multiobjective filtering for nonlinear time-delay systems with nonzero initial conditions based on convex optimization. Circuits Syst. Signal Process. 25(5), 591-607 (2006)
14. B. Jiang, M. Staroswiecki, V. Cocquempot, Fault identification for a class of time-delay systems, in Proceedings of the American Control Conference, Anchorage, AK (2002), pp. 2239-2244
15. B. Jiang, M. Staroswiecki, V. Cocquempot, Fault accommodation for nonlinear dynamic systems. IEEE Trans. Automat. Contr. 51(9), 1578-1583 (2006)
16. N.P. Karampetakis, Computation of the generalized inverse of a polynomial matrix and applications. Linear Algebra Appl. 252(1-3), 35-60 (1997)
17. J.H. Kim, C.H. Hyun, E. Kim, M. Park, Adaptive synchronization of uncertain chaotic systems based on T-S fuzzy model. IEEE Trans. Fuzzy Syst. 15(3), 359-369 (2007)
18. ∞ control of uncertain fuzzy dynamic systems with time-varying delay. IEEE Trans. Fuzzy Syst. 8(6), 657-664 (2000)
19. C.J. Lopez-Toribio, R.J. Patton, Takagi-Sugeno fuzzy fault-tolerant control for a non-linear system, in Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, AZ (1999), pp. 4368-4373
20. X.J. Ma, Z.Q. Sun, Y.Y. He, Analysis and design of fuzzy controller and fuzzy observer. IEEE Trans. Fuzzy Syst. 6(1), 41-51 (1998)
21. ∞ fuzzy output feedback control design for nonlinear systems: An LMI approach. IEEE Trans. Fuzzy Syst. 11(3), 331-340 (2003)
22. S.K. Nguang, P. Shi, S.X. Ding, Delay-dependent fault estimation for uncertain time-delay nonlinear systems: An LMI approach. Int. J. Robust Nonlinear Control 16(18), 913-933 (2006)
23. S.K. Nguang, P. Shi, S.X. Ding, Fault detection for uncertain fuzzy systems: An LMI approach. IEEE Trans. Fuzzy Syst. 15(6), 1251-1262 (2007)
24. H. Noura, D. Theilliol, D. Sauter, Actuator fault-tolerant control design: Demonstration on a three-tank-system. Int. J. Syst. Sci. 31(9), 1143-1155 (2000)
25. R.J. Patton, J. Chen, C.J. Lopez-Toribio, Fuzny observers for non-linear dynamic systems fault diagnosis, in Proceedings of the 37th IEEE Conference on Decision and Control, Tampa, FL (1998), pp. 84-89
26. R. Penrose, A generalized inverse for matrices. Proc. Camb. Philos. Soc. 51, 406-413 (1955)
27. ∞ observer design for Lipschitz nonlinear systems. IEEE Trans. Automat. Contr. 51(7), 1211-1216 (2006)
28. M.M. Polycarpou, Fault accommodation of a class of multivariable nonlinear dynamical systems using a learning approach. IEEE Trans. Automat. Contr. 46(5), 736-742 (2001)
29. R. Rajamani, Y.M. Cho, Existence and design of observers for nonlinear systems: Relation to distance to unobservability. Int. J. Control 69(5), 717-731 (1998)
30. E.D. Sontag, The ISS philosophy as a unifying framework for stability-like behavior, in Nonlinear Control in the Year 2000 (Springer, Berlin, 2000), pp. 443-467
31. M. Staroswiecki, H. Yang, B. Jiang, Progressive accommodation of parametric faults in linear quadratic control. Automatica 43(12), 2070-2076 (2007)
32. D. Theilliol, H. Noura, D. Sauter, Fault tolerant control method for actuator and component faults, in Proceedings of the 37th IEEE Conference on Decision and Control, Tampa, FL (1998), pp. 604-609
33. S. Tong, Y. Li, Direct adaptive fuzzy backstepping control for a class of nonlinear systems. Int. J. Innov. Comput. Inf. Control 3(4), 887-896 (2007)
34. S. Tong, W. Wang, L. Qu, Decentralized robust control for uncertain T-S fuzzy large-scale systems with time-delay. Int. J. Innov. Comput. Inf. Control 3(3), 657-672 (2007)
35. K. Vijayaraghavan, R. Rajamani, J. Bokor, Quantitative fault estimation for a class of non-linear systems. Int. J. Control 80(1), 64-74 (2007)
36. H. Wang, S. Daley, Actuator fault diagnosis: An adaptive observer-based technique. IEEE Trans. Automat. Contr. 41(7), 1073-1078 (1996)
37. M. Wang, B. Chen, S. Tong, Adaptive fuzzy tracking control for strict-feedback nonlinear systems with unknown time delays. Int. J. Innov. Comput. Inf. Control 4(4), 829-837 (2008)
38. Z. Wang, D.P. Goodall, K.J. Burnham, On designing observers for time-delay systems with non-linear disturbances. Int. J. Control 75(11), 803-811 (2002)
39. Y. Zhang, S.J. Qin, Adaptive actuator/component fault compensation for nonlinear systems. AIChE J. 54(9), 2404-2412 (2008)
40. K. Zhang, B. Jiang, V. Cocquempot, Adaptive observer-based fast fault estimation. Int. J. Control Autom. Syst. 6(3), 320-326 (2008)