Disturbance attenuation of nonlinear control systems using an observer-based fuzzy feedback linearization control

Chaos, Solitons and Fractals

Volumn 33, Issue 3, 2007, Pages 885-900

  Chen, Chung Cheng ^a   Hsu, Chao Hsing ^b   Chen, Ying Jen ^c   Lin, Yen Feng ^a  

^a NATIONAL FORMOSA UNIVERSITY   (Taiwan)

^b CHIENKUO TECHNOLOGY UNIVERSITY   (Taiwan)

^c Hung Jen Girl School   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FEEDBACK CONTROL; FUZZY SETS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

DISTURBANCE ATTENUATION; FUZZY FEEDBACK LINEARIZATION CONTROL; STATE VARIABLES; TRAJECTORY TRACKING;

NONLINEAR CONTROL SYSTEMS;

EID: 33847656260     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.01.110     Document Type: Article

References (47)

1. Alleyne A. A systematic approach to the control of electrohydraulic servosystems. In: Proceedings of the American control conference, Philadelphia (PA), June, 1998. p. 833-7.
2. ∞ control for nonlinear systems with output feedback. IEEE Trans Automat Contr 38 April (1993) 546-559
3. Bedrossian NS. Approximate feedback linearization: the car-pole example. In: Proceedings of the 1992 IEEE international conference on robotics and automation, France, Nice, May, 1992. p. 1987-92.
4. Bowong S., and Kakmeni F.M.M. Synchronization of uncertain chaotic systems via backstepping approach. Chaos, Solitons & Fractals 21 4 (2004) 999-1011
5. ∞ tracking design of uncertain nonlinear SISO systems: adaptive fuzzy approach. IEEE Trans Fuzzy Syst 4 1 (1996) 32-43
6. Corless M.J., and Leitmann G. Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems. IEEE Trans Automat Contr 26 5 (1981) 1139-1144
7. Gopalswamy S., and Hedrick J.K. Tracking nonlinear nonminimum phase systems using sliding control. Int J Contr 57 May (1993) 1141-1158
8. Henson M.A., and Seborg D.E. Critique of exact linearization strategies for process control. J Process Contr 1 (1991) 122-139
9. Huang X., Cao J., and Huang D.S. LMI-based approach for delay-dependent exponential stability analysis of BAM neural networks. Chaos, Solitons & Fractals 24 3 (2005) 885-898
10. Huang J., and Rugh W.J. On a nonlinear multivariable servomechanism problem. Automatica 26 June (1990) 963-992
11. Isidori A. Nonlinear control system (1989), Springer-Verlag, New York
12. ∞ control via measurement feedback for affine nonlinear systems. Int J Robust Nonlinear Contr (1994)
13. Isidori A., and Byrnes C.I. Output regulation of nonlinear systems. IEEE Trans Automat Contr 35 February (1990) 131-140
14. ∞ control via measurement feedback for general nonlinear systems. IEEE Trans Automat Contr 40 March (1995) 466-472
15. Joo S.J., and Seo J.H. Design and analysis of the nonlinear feedback linearizing control for an electromagnetic suspension system. IEEE Trans Automat Contr 5 1 (1997) 135-144
16. Kawamoto S., Tada K., Ishigame A., and Taniguchi T. An approach to stability analysis of second order fuzzy systems. IEEE Int Conf Fuzzy Syst (1992) 1427-1434
17. Khalil H.K. Nonlinear systems (1996), Prentice-Hall, New Jersey
18. Khorasani K., and Kokotovic P.V. A corrective feedback design for nonlinear systems with fast actuators. IEEE Trans Automat Contr 31 (1986) 67-69
19. Kim J.H., Park C.W., Kim E., and Park M. Adaptive synchronization of T-S fuzzy chaotic systems with unknown parameters. Chaos, Solitons & Fractals 24 5 (2005) 1353-1361
20. Lam H.K., Leung F.H.F., and Tam P.K.S. Fuzzy state feedback controller for nonlinear systems: Stability analysis and design. IEEE Int Conf Fuzzy Syst 2 (2002) 677-681
21. Lee SY, Lee JI, Ha IJ. A new approach to nonlinear autopilot design for bank-to-turn missiles. In: Proceedings of the 36th conference on decision and control, San Diego (CA), December, 1997. p. 4192-7.
22. Lee KW, Singh SN. Robust control of chaos in Chua's circuit based on internal model principle. Chaos, Solitons & Fractals, in press, doi:10.1016/j.chaos.2005.10.058.
23. Marino R., and Kokotovic P.V. A geometric approach to nonlinear singularly perturbed systems. Automatica 24 (1988) 31-41
24. Marino R., Respondek W., and Van Der Schaft A.J. Almost disturbance decoupling for single-input single-output nonlinear systems. IEEE Trans Automat Contr 34 9 (1989) 1013-1017
25. Marino R., and Tomei P. Nonlinear output feedback tracking with almost disturbance decoupling. IEEE Trans Automat Contr 44 1 (1999) 18-28
26. Miller R.K., and Michel A.N. Ordinary differential equations (1982), Academic Press, New York
27. Nijmeijer H., and Van Der Schaft A.J. Nonlinear dynamical control systems (1990), Springer-Verlag, New York
28. Park J.H., and Kwon O.M. LMI optimization approach to stabilization of time-delay chaotic systems. Chaos, Solitons & Fractals 23 2 (2005) 445-450
29. Peroz H., Ogunnaike B., and Devasia S. Output tracking between operating points for nonlinear processes: Van de Vusse example. IEEE Trans Contr Syst Technol 10 4 (2002) 611-617
30. Qian C., and Lin W. Almost disturbance decoupling for a class of high-order nonlinear systems. IEEE Trans Automat Contr 45 6 (2000) 1208-1214
31. ∞ control. IEEE Trans Automat Contr 37 June (1992) 770-784
32. Sheen JJ, Bishop RH. Adaptive nonlinear control of spacecraft. In: Proceedings of the American control conference, Baltlmore (MD), June, 1998. p. 2867-71.
33. Slotine J.J.E., and Li W. Applied nonlinear control (1991), Prentice-Hall, New York
34. Swaroop D., Hedrick J.K., Yip P.P., and Gerdes J.C. Dynamic surface control for a class of nonlinear systems. IEEE Trans Automat Contr 45 10 (2000) 1893-1899
35. Tanaka K., Hori T., and Wang H.O. A multiple Lyapunov function approach to stabilization of fuzzy control systems. IEEE Int Conf Fuzzy Syst 11 4 (2003) 582-589
36. Tanaka K, Sugeno M. Stability analysis of fuzzy control systems using Lyapunov's direct method. In: Proceedings of the NAFIPS'90, 1990. p. 133-6.
37. Tanaka K., and Sugeno M. Stability analysis and design of fuzzy control systems. Fuzzy Sets Syst 45 2 (1992) 135-156
38. Wang C.C., and Su J.P. A new adaptive variable structure control for chaotic synchronization and secure communication. Chaos, Solitons & Fractals 20 5 (2004) 967-977
39. Wang H.O., Tanaka K., and Griffin M.F. An approach to fuzzy control of nonlinear systems: stability and design issues. IEEE Trans Fuzzy Syst 4 (1996) 14-23
40. Weiland S., and Willems J.C. Almost disturbance decoupling with internal stability. IEEE Trans Automat Contr AC-34 3 (1989) 277-286
41. Willems J.C. Almost invariant subspace: an approach to high gain feedback design - Part I: almost controlled invariant subspaces. IEEE Trans Automat Contr AC-26 1 (1981) 235-252
42. Yager R.R., and Filev D.P. Essentials of fuzzy modeling and control (1994), Wiley, New York
43. ∞ controlling hyperchaos of the Rössler system with input nonlinearity. Chaos, Solitons & Fractals 21 2 (2004) 283-293
44. Yan J.J., Shyu K.K., and Lin J.S. Adaptive variable structure control for uncertain chaotic systems containing dead-zone nonlinearity. Chaos, Solitons & Fractals 25 2 (2005) 347-355
45. Yip P.P., and Hedrick J.K. Adaptive dynamic surface control: a simplified algorithm for adaptive backstepping control of nonlinear systems. Int J Contr 71 5 (1998) 959-979
46. Zhang H., and Yu J. LMI-based stability analysis of fuzzy large-scale systems with time delays. Chaos, Solitons & Fractals 25 5 (2005) 1193-1207
47. Zhang J., Li C., Zhang H., and Yu J. Chaos synchronization using single variable feedback based on backstepping method. Chaos, Solitons & Fractals 21 5 (2004) 1183-1193