Adaptive fuzzy tracking control for a class of MIMO nonaffine uncertain systems

Neurocomputing

Volumn 93, Issue , 2012, Pages 48-55

  Boulkroune, A ^a   M'Saad, M ^b   Farza, M ^b  

^a UNIVERSITY OF JIJEL   (Algeria)

^b UNIVERSITÉ DE CAEN   (France)

Author keywords

Adaptive control; Fuzzy control; MIMO nonaffine systems; Nussbaum function; Unknown control direction

Indexed keywords

ADAPTIVE CONTROL; ADAPTIVE FUZZY; ADAPTIVE FUZZY SYSTEM; CONTROL DIRECTIONS; CONTROL GAIN MATRICES; CONTROL LAWS; CONTROLLER DESIGNS; DECOMPOSITION PROPERTY; EQUIVALENT MODEL; FUZZY ADAPTIVE CONTROLLER; FUZZY-ADAPTIVE CONTROL; MULTI-INPUT MULTI-OUTPUT; NONAFFINE SYSTEMS; NUSSBAUM-TYPE FUNCTIONS; STABILITY ANALYSIS; TAYLOR SERIES EXPANSIONS; UNKNOWN CONTROL DIRECTION;

ADAPTIVE CONTROL SYSTEMS; CONTROL NONLINEARITIES; FUZZY CONTROL; MIMO SYSTEMS; SHIP STEERING EQUIPMENT; TAYLOR SERIES;

CONTROLLERS;

ADAPTIVE FUZZY TRACKING CONTROL; ARTICLE; DYNAMICS; FUZZY SYSTEM; MATHEMATICAL ANALYSIS; MEASUREMENT ERROR; MULTI INPUT MULTI OUTPUT NONAFFINE SYSTEM; PRIORITY JOURNAL; SIMULATION; STATISTICAL MODEL;

EID: 84862192278     PISSN: 09252312     EISSN: 18728286     Source Type: Journal    
DOI: 10.1016/j.neucom.2012.04.006     Document Type: Article

References (58)

1. Wang L.X. Adaptive Fuzzy Systems and Control: Design and Stability Analysis 1994, Prentice-Hall, Englewood Cliffs, NJ.
2. Tong S.C., Tang J., Wang T. Fuzzy adaptive control of multivariable nonlinear systems. Fuzzy Sets Syst. 2000, 111(2):153-167.
3. Tong S.C., Li H.X. Fuzzy adaptive sliding model control for MIMO nonlinear systems. IEEE Trans. Fuzzy Syst. 2003, 11(3):354-360.
4. Tong S.C., Chen B., Wang Y. Fuzzy adaptive output feedback control for MIMO nonlinear systems. Fuzzy Sets Syst. 2005, 156(2):285-299.
5. Labiod S., Boucherit M.S., Guerra T.M. Adaptive fuzzy control of a class of MIMO nonlinear systems. Fuzzy Sets Syst. 2005, 151:59-77.
6. Li H.-X., Tong S.C. A hybrid adaptive fuzzy control for a class of nonlinear MIMO systems. IEEE Trans. Fuzzy Syst. 2003, 11(1):24-34.
7. Ordonez R., Passino K.M. Stable multi-input multi-output adaptive fuzzy/neural control. IEEE Trans. Fuzzy Syst. 1999, 7(3):345-353.
8. Chang Y.C. Robust tracking control for nonlinear MIMO systems via fuzzy approaches. Automatica 2000, 36:1535-1545.
9. Chekireb H., Tadjine M., Bouchaffra D. Direct adaptive fuzzy control of nonlinear system class with applications. Control Intell. Syst. 2003, 31(2):1-11.
10. Essounbouli N., Hamzaoui A., Zaytoon J. An improved robust adaptive fuzzy controller for MIMO systems. Control Intell. Syst. 2006, 34(1):12-21.
11. Boulkroune A., MSaad M., Chekireb H. Design of a fuzzy adaptive controller for MIMO nonlinear time-delay systems with unknown actuator nonlinearities and unknown control direction. Inf. Sci. 2010, 180:5041-5059.
12. A. Boulkroune, M. M'Saad, M. Tadjine, M. Farza, Adaptive Fuzzy Control for MIMO Nonlinear Systems with Unknown Dead-zone, in: Proc. of the 4th International IEEE Conference on Intelligent Systems, Varna, Bulgaria, pp. 450-455, Sep. 2008.
13. Boulkroune A., M'Saad M., Tadjine M., Farza M. Fuzzy adaptive controller for MIMO nonlinear systems with known and unknown control direction. Fuzzy Sets Syst. 2010, 161:797-820.
14. Boulkroune A., M'Saad M., Farza M. Adaptive fuzzy controller for multivariable nonlinear state time-varying delay systems subject to input nonlinearities. Fuzzy Sets Syst. 2011, 164:45-65.
15. Ge S.S., Hang C.C., Zhang T. Nonlinear adaptive control using neural networks and its application to CSTR systems. J. Process Control 1998, 9:313-323.
16. Krstic M., Kanellakopoulos I., Kokotovic P.V. Nonlinear and Adaptive Control Design 1995, Wiley, New York.
17. J.D. Boskovic, L. Chen, R.K. Mehra, Multivariable Adaptive Controller Design for a Class of Non-affine Models Arising in Flight Control, in: Proc. of the 40th IEEE Conference on Decision and Control, Orlando, Florida USA, pp. 2442-2447, December 2001.
18. A.S. Shiriaev, H. Ludvigsen, O. Egeland, A.L. Fradkov, Swinging up of Non-affine in Control Pendulum, in: Proc. of American Control Conference, San Diego, California, USA, pp. 4039-4044, 1999.
19. Ge S.S., Hang C.C., Zhang T. Adaptive neural networks control of nonlinear systems by state and output feedback. IEEE Trans. Syst. Man Cybern. Part B Cybern. 1999, 29:818-828.
20. Park J.Y., Park G.T. Robust adaptive fuzzy controller for nonaffine nonlinear systems with dynamic rules activation. Int. J. Robust Nonlinear Control 2003, 13:117-139.
21. Park J.H., Kim S.H. Direct adaptive output feedback fuzzy controller for a nonaffine of nonlinear systems. IEEE Proc. Control Theory Appl. 2004, 151:65-72.
22. Park J.H., Huh S.H., Kim S.H., Seo S.J., Park G.T. Direct adaptive controller for nonaffine nonlinear systems using self-structuring neural networks. IEEE Trans. Neural Networks 2005, 16:414-422.
23. Ge S.S., Zhang C. Adaptive NN control of uncertain nonlinear pure-feedback systems. Automatica 2002, 38:1365-1372.
24. Zhang T., Guay M. Adaptive control for a class of second-order nonlinear systems with unknown input nonlinearities. IEEE Trans. Syst. Man Cybern. Part B Cybern. 2003, 33:143-149.
25. Ge S.S., Zhang J. Neural-network control of nonaffine nonlinear system with zero dynamics by state and output feedback. IEEE Trans. Neural Networks 2003, 14:900-918.
26. Du H., Shao H., Yao P. Adaptive neural network control for a class of low-triangular-structured nonlinear systems. IEEE Trans. Neural Networks 2006, 17:509-514.
27. Labiod S., Guerra T.M. Adaptive fuzzy control for a class of SISO nonaffine nonlinear systems. Fuzzy Sets Syst. 2007, 158(10):1126-1137.
28. Liu Y.J., Wang W. Adaptive fuzzy control for a class of uncertain nonaffine nonlinear systems. Inf. Sci. 2007, 177:3901-3917.
29. J.D. Boskovic, L. Chen, R. Mehra, Adaptive Tracking Control of a Class of Nonaffine Plants using Dynamic Feedback, in: Proc. of the 2001 American Control Conference, pp. 2450-2455, 2001.
30. R. Boukezzoula, S. Galichet, L. Foulloy, Fuzzy Adaptive Linearizing Control for Non-affine Systems, in: Proc. of the IEEE International Fuzzy Systems Conference, pp. 543-548, 2003.
31. Essounbouli N., Hamzaoui A. Direct and indirect robust adaptive fuzzy controllers for a class of nonlinear systems. Int. J. Control, Autom. Syst. 2006, 4:146-154.
32. A. Boulkroune, M. M'saad, On the Design of Observer-based Fuzzy Adaptive Controller for Nonlinear Systems with Unknown Control Gain Sign, Fuzzy Sets and Systems, 〈〉, Dec 2011. http://dx.doi.org/10.1016/j.fss.2011.12.005.
33. Li Y., Tong S.C. Adaptive fuzzy backstepping output feedback control of nonlinear systems with unknown virtual control coefficients using MT-filters. Neurocomputing 2011, 74:1557-1563.
34. Kaloust J., Qu Z. Continuous robust control design for nonlinear uncertain systems without a priori knowledge of control direction. IEEE Trans. Autom. Control 1995, 40:276-282.
35. Brogliato B., Lozano R. Adaptive control of first-order nonlinear systems with reduced knowledge of the plant parameters. IEEE Trans. Autom. Control 1994, 39:1764-1768.
36. Dong W.H., Sun X.X., Lin Y. Variable structure model reference adaptive control with unknown high frequency gain sign. Acta Autom. Sin. 2007, 33:404-408.
37. Park J.-H., Kim S.-H., Moon C.-J. Adaptive fuzzy controller for the nonlinear system with unknown sign of the input gain. Int. J. Control, Autom. Syst. 2006, 4(2):178-186.
38. Labiod S., Guerra T.M. Indirect adaptive fuzzy control for a class of nonaffine nonlinear systems with unknown control directions. Int. J. Control, Autom. Syst. 2010, 8(4):903-907.
39. Psillakis H.E. Further results on the use of Nussbaum gains in adaptive neural network control. IEEE Trans. Autom. Control 2010, 55(12):2841-2846.
40. Liu Y.J., Wang W. Adaptive fuzzy control for a class of uncertain non-affine nonlinear systems. Inf. Sci. 2007, 177:3901-3917.
41. Doudou S., Khaber F. Direct adaptive fuzzy control of a class of MIMO non-affine nonlinear systems. Int. J. Syst. Sci. 2012, 43(6):1029-1038.
42. Liu Y.J., Tong S., Wang W. Adaptive fuzzy output tracking control for a class of uncertain nonlinear systems. Fuzzy Sets Syst. 2009, 160:2727-2754.
43. J. Chen, A. Behal, D.M. Dawson, Adaptive Output Feedback Control for a Class of MIMO Nonlinear Systems, in: Proc. of the American Control Conference, Minneapolis, MN, pp. 5300-5305, June 2006.
44. Costa R.R., Hsu Li., Imai A.K., Kokotovic P. Lyapunov-based adaptive control of MIMO systems. Automatica 2003, 39(7):1251-1257.
45. Hsu L., Costa R.R., Lizarralde F. Luapunov/passivity-based adaptive control of relative degree two MIMO systems with an application to visual servoing. IEEE Trans. Autom. Control 2007, 52(2):364-371.
46. X.T. Zhang, D.M. Dawson, M.S. de Queiroz, B. Xian, Adaptive Control for a Class of MIMO Nonlinear Systems with Non-symmetric Input Matrix, in: Proc. of the IEEE International Conference on Control Applications, Taipei, Taiwan, pp. 1324-1329, Sep 2004.
47. Ge S.S., Wang J. Robust adaptive neural control for a class of perturbed strict feedback nonlinear systems. IEEE Trans. Neural Networks 2002, 13(6):1409-1419.
48. Nussbaum R.D. Some remarks on the conjecture in parameter adaptive control. Syst. Control Lett. 1983, 1(3):243-246.
49. Zhang T.P., Ge S.S. Adaptive neural control of MIMO nonlinear state time-varying delay systems with unknown dead-zones and gain signs. Automatica 2007, 43(6):1021-1033.
50. Zhang T.P., Yi Y. Adaptive fuzzy control for a class of MIMO nonlinear systems with unknown dead-zones. Acta Autom. Sin. 2007, 33(1):96-99.
51. Boulkroune A., Tadjine M., M'Saad M., Farza M. General adaptive observer-based fuzzy control of uncertain nonaffine systems. Arch. Control Sci. 2006, 16(LII)(4):363-390.
52. Boulkroune A., Tadjine M., M'Saad M., Farza M. How to design a fuzzy adaptive controller based on observers for uncertain affine nonlinear systems. Fuzzy Sets Syst. 2008, 159:926-948.
53. Boulkroune A., Tadjine M., M'Saad M., Farza M. Adaptive fuzzy controller for non-affine systems with zero dynamics. Int. J. Syst. Sci. 2009, 40(4):367-382.
54. Tong S.C., Li H.X., Wang W. Observer-based adaptive fuzzy control for SISO nonlinear systems. Fuzzy Sets Syst. 2004, 148:355-376.
55. Tong S.C., Li Y.M. Observer-based fuzzy adaptive control for strict-feedback nonlinear systems. Fuzzy Sets Syst. 2009, 160:1749-1764.
56. Wang W.Y., Chien Y.H., Leu Y.G., Lee T.T. Adaptive T-S fuzzy-neural modeling and control for general MIMO unknown nonaffine nonlinear systems using projection update laws. Automatica 2010, 46:852-863.
57. Zhang H.G., Quan Y.B. Modeling, identification, and control of a class of nonlinear systems. IEEE Trans. Fuzzy Syst. 2001, 9(2):349-354.
58. Mao Z.Z., Xiao X.S. Decentralized adaptive tracking control of nonaffine nonlinear large-scale systems with time delays. Inf. Sci. 2011, 181(23):5291-5303.