Fuzzy adaptive backstepping robust control for SISO nonlinear system with dynamic uncertainties

Information Sciences

Volumn 179, Issue 9, 2009, Pages 1319-1332

  Tong, Shaocheng ^a   Li, Yongming ^a   Shi, Peng ^b  

^a LIAONING UNIVERSITY OF TECHNOLOGY   (China)

^b UNIVERSITY OF GLAMORGAN   (United Kingdom)

Author keywords

Backstepping technique; Fuzzy adaptive control; Nonlinear systems; Robust control

Indexed keywords

BACKSTEPPING; DYNAMICS; FUZZY CONTROL; FUZZY LOGIC; FUZZY SETS; NONLINEAR SYSTEMS; ROBUST CONTROL;

BACKSTEPPING TECHNIQUE; DYNAMIC SIGNALS; DYNAMIC UNCERTAINTIES; FUZZY ADAPTIVE; FUZZY ADAPTIVE CONTROL; FUZZY APPROXIMATIONS; FUZZY LOGIC SYSTEMS; GLOBAL BOUNDEDNESS; NON-LINEAR DAMPING; NON-LINEAR UNCERTAINTIES; SIMULATION STUDIES; UNMODELED DYNAMICS;

ADAPTIVE CONTROL SYSTEMS;

EID: 60649087304     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2009.01.002     Document Type: Article

References (33)

1. ∞ tracking design of uncertain nonlinear SISO systems: adaptive fuzzy approach. IEEE Transactions on Fuzzy Systems 4 2 (1996) 32-43
2. Chai T.Y., and Tong S.C. Fuzzy direct adaptive control for a class of nonlinear systems. Fuzzy Sets and Systems 103 (1999) 379-389
3. Chen B., and Liu X.P. Fuzzy approximate disturbance decoupling of MIMO nonlinear systems by backstepping and application to chemical processes. IEEE Transactions on Fuzzy systems 13 6 (2005) 832-847
4. Chen B., Liu X.P., and Tong S.C. Fuzzy approximate disturbance decoupling of MIMO nonlinear systems by backstepping approach. Fuzzy Sets and Systems 158 (2007) 1097-1125
5. Chen B., Liu X.P., and Tong S.C. Adaptive fuzzy output tracking control of MIMO nonlinear uncertain systems. IEEE Transactions on Fuzzy Systems 15 2 (2007) 287-300
6. Ge S.S., and Wang J. Robust adaptive neural control for a class of perturbed strict feedback nonlinear systems. IEEE Transactions on Neural Networks 13 6 (2002) 1409-1419
7. Hwang C.L., and Chang L.J. Fuzzy neural-based control for nonlinear time-varying delay systems. IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics 37 5 (2007) 1471-1485
8. Hwang J.P., and Kim E. Robust tracking control of an electrically driven robot: adaptive fuzzy logic approach. IEEE Transactions on Fuzzy Systems 114 2 (2006) 232-247
9. Jiang Z.P., and Praly L. Preliminary results about robust Lagrange stability in adaptive non-linear regulation. International Journal of Adaptive Control and Signal Process 6 (1992) 285-307
10. Jiang Z.P., and Praly L. Design of robust adaptive controllers for nonlinear systems with dynamic uncertainties. Automatica 34 7 (1998) 825-840
11. Jiang Z.P. A combined backstepping and small-gain approach to adaptive output feedback control. Automatica 35 (1999) 1131-1139
12. Jagannnathan S., and Lewis F.L. Robust backstepping control of a class of nonlinear systems using fuzzy logic. Information Sciences 123 (2000) 223-240
13. Kristic M., Kanellakopoulos I., and Kokotovic P.V. Nonlinear and Adaptive Control Design (1995), Wiley, New York
14. Li H.Y., Qiang S., Zhuang X.Y., and Kaynak O. Robust and adaptive backstepping control for nonlinear systems using RBF neural networks. IEEE Transactions on Neural Networks 15 3 (2004) 693-703
15. Liu Y.J., and Wang W. Adaptive fuzzy control for a class of uncertain nonaffine nonlinear systems. Information Sciences 177 (2007) 3901-3917
16. Liu Y.S., and Li X.Y. Decentralized robust adaptive control of nonlinear systems with unmodeled dynamics. IEEE Transactions on Automatic Control 47 5 (2002) 848-856
17. ∞ output feedback control design for fuzzy dynamic systems with quadratic D stability constraints: an LMI approach. Information Sciences 176 15 (2006) 2161-2191
18. Polycarpou M.M., and Ioannou P.A. A robust adaptive nonlinear control design. Automatica 32 3 (1996) 423-427
19. Polycarpou M.M., and Mears M.J. Stable adaptive tracking of uncertain systems using nonlinearly parametrized on-line approximators. International Journal of Control 70 3 (1998) 363-384
20. Park C.W., and Park M. Adaptive parameter estimator based on T-S fuzzy models and its applications to indirect adaptive fuzzy control design. Information Sciences 159 1-2 (2004) 125-139
21. Spooner J.T., and Passino K.M. Stable adaptive control of a class of nonlinear systems and neural network. IEEE Transactions on Fuzzy Systems 4 4 (1996) 339-359
22. Tong S.C., and Chai T.Y. Fuzzy adaptive control for a class of nonlinear systems. Fuzzy Sets and Systems 101 (1999) 31-39
23. Wang L.X. Adaptive Fuzzy Systems and Control: Design and Stability Analysis (1994), Prentice-Hall, Englewood Cliffs, NJ
24. Wang M., and Chen B. Direct adaptive fuzzy tracking control for a class of perturbed strict-feedback nonlinear systems. Fuzzy Sets and Systems 158 (2007) 2655-2670
25. Wu Z.J., Xie X.J., and Shi P. Robust adaptive output-feedback control for nonlinear systems with output unmodeled dynamics. International Jouranl of Robust and Nonlinear Control 18 (2008) 1162-1187
26. Yang Y.S., Feng G., and Ren J.S. A combined backstepping and small-gain approach to robust adaptive fuzzy control for strict-feedback nonlinear systems. IEEE Transactions on Systems, Man, and Cybernetics-Part A: Systems and Humans 34 3 (2004) 406-420
27. ∞ stabilization for strict-feedback canonical nonlinear systems via backstepping and small-gain approach. IEEE Transactions on Fuzzy Systems 13 1 (2005) 104-114
28. Wu H.N., and Cai K.Y. Robust fuzzy control for uncertain discrete-time nonlinear Markovian jump systems without mode observations. Information Sciences 177 6 (2007) 1509-1522
29. Yoneyama J. Robust stability and stabilizing controller design of fuzzy systems with discrete and distributed delays. Information Sciences 178 8 (2008) 1935-1947
30. Yang Y.S., and Zhou C.J. Robust adaptive fuzzy tracking control for a class of perturbed strict-feedback nonlinear systems via small-gain approach. Information Sciences 170 2-3 (2005) 211-234
31. Zhang T., Ge S.S., and Hang C.C. Adaptive neural network control for strict-feedback nonlinear systems using backstepping design. Automatica 36 3 (2000) 1835-1846
32. ∞ control for discrete-time fuzzy systems via basis-dependent Lyapunov functions. Information Sciences 174 11 (2005) 197-217
33. Wang M., Chen B., Liu K.F., Liu X.P., and Zhang S.Y. Adaptive fuzzy tracking control of nonlinear time-delay systems with unknown virtual control coefficients. Information Sciences 178 22 (2008) 4326-4340