Observer-based adaptive robust control of nonlinear nonaffine systems with unknown gain sign

Nonlinear Dynamics

Volumn 78, Issue 3, 2014, Pages 2185-2194

  Arefi, Mohammad M ^a   Ramezani, Zahra ^b   Jahed Motlagh, Mohammad R ^b  

^a SHIRAZ UNIVERSITY   (Iran)

^b IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

Adaptive robust control; Neural network; Nonaffine system; Nussbaum gain technique; Observer based control; Uncertain nonlinear system

Indexed keywords

CLOSED LOOP SYSTEMS; CONTROLLERS; NEURAL NETWORKS; NONLINEAR SYSTEMS; ROBUST CONTROL;

ADAPTIVE ROBUST CONTROL; NONAFFINE SYSTEMS; NUSSBAUM GAIN TECHNIQUE; OBSERVER BASED CONTROL; UNCERTAIN NONLINEAR SYSTEMS;

ADAPTIVE CONTROL SYSTEMS;

EID: 84910155664     PISSN: 0924090X     EISSN: 1573269X     Source Type: Journal    
DOI: 10.1007/s11071-014-1573-0     Document Type: Article

References (30)

1. Marino, R., Tomei, P.: Nonlinear Control Design: Geometric, Adaptive and Robust. Prentice Hall, London (1995)
2. Tong, S.C., He, X.L., Zhang, H.G.: A combined backstepping and small-gain approach to robust adaptive fuzzy output feedback control. IEEE Trans. Fuzzy Syst. 17(5), 1059–1069 (2009)
3. Lee, H.J., Park, J.B., Chen, G.: Robust fuzzy control of nonlinear systems with parametric uncertainties. IEEE Trans. Fuzzy Syst. 9(2), 369–379 (2001)
4. Shao-Cheng, T., Tian-You, C.: Indirect adaptive fuzzy output feedback control with supervisory controller for uncertain nonlinear systems EJ. Acta Automatica Sinica 31(2), 255–261 (2005)
5. Wang, Y., Chai, T.: Output-feedback control of uncertain nonlinear systems using adaptive fuzzy observer. In: American Control Conference 2005, vol. 2, pp. 2613–2618
6. Frikha, S., Djemel, M., Derbel, N.: Indirect adaptive neuro-sliding mode control for SISO nonlinear systems with state observer. J. Eng. Technol. 2(4), 68–74 (2007)
7. Wang, L.-X.: A Course in Fuzzy Systems. Prentice-Hall press, USA (1999)
8. Du, H., Chen, X.: NN-based output feedback adaptive variable structure control for a class of non-affine nonlinear systems: a nonseparation principle design. Neurocomputing 72(7–9), 2009–2016 (2009)
9. Hoseini, S.M., Farrokhi, M., Koshkouei, A.J.: Robust adaptive control of nonlinear non-minimum phase systems with uncertainties. Automatica 47(2), 348–357 (2011)
10. Abid, H., Chtourou, M., Toumi, A.: Fuzzy indirect adaptive control scheme for nonlinear systems based on lyapunov approach and sliding mode. Int. J. Comput. Cognit. 5(1), 36–43 (2007)
11. Labiod, S., Guerra, T.M.: Direct adaptive fuzzy control for a class of MIMO nonlinear systems. Int. J. Syst. Sci. 38(8), 665–675 (2007)
12. Labiod, S., Guerra, T.M.: Adaptive fuzzy control of a class of SISO nonaffine nonlinear systems. Fuzzy Sets Syst. 158(10), 1126–1137 (2007)
13. Boulkroune, A., Tadjine, M., M’Saad, M., Farza, M.: A unified approach for design of indirect adaptive output-feedback fuzzy controller. Int. J. Intell. Syst. Technol. Appl. 5(1), 83–103 (2008)
14. Arefi, M.M., Jahed-Motlagh, M.R.: Observer-based adaptive neural control of uncertain MIMO nonlinear systems with unknown control direction. Int. J. Adapt. Control Signal Process. 27(9), 741–754 (2013)
15. Boulkroune, A., Tadjine, M., M’Saad, M., Farza, M.: Fuzzy adaptive controller for MIMO nonlinear systems with known and unknown control direction. Fuzzy Sets Syst. 161(6), 797–820 (2010)
16. Liu, Y.J., Wang, Z.F.: Adaptive fuzzy controller design of nonlinear systems with unknown gain sign. Nonlinear Dyn. 58(4), 687–695 (2009)
17. 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. 4(2), 178–186 (2006)
18. Arefi, M.M., Jahed-Motlagh, M.R.: Observer-based adaptive neural control for a class of nonlinear non-affine systems with unknown gain sign. In: 18th IFAC World Congress 2011, vol. 1, pp. 2644–2649
19. Liu, Y.J., Li, Y.X.: Adaptive fuzzy output-feedback control of uncertain SISO nonlinear systems. Nonlinear Dyn. 61(4), 749–761 (2010)
20. Tong, S., Liu, C., Li, Y.: Robust adaptive fuzzy filters output feedback control of strict-feedback nonlinear systems. Int. J. Appl. Math. Comput. Sci. 20(4), 637–653 (2010)
21. Rigatos, G.: A differential flatness theory approach to observer-based adaptive fuzzy control of MIMO nonlinear dynamical systems. Nonlinear Dyn. 76(2), 1335–1354 (2014)
22. Su, H., Xie, X., Liu, H.: Robust adaptive output stabilization using dynamic normalizing signal. J. Control Theory Appl. 5(1), 89–93 (2007)
23. Frikha, S., Djemel, M., Derbel, N.: Observer based adaptive neuro-sliding mode control for MIMO nonlinear systems. Int. J. Control Autom. Syst. 8(2), 257–265 (2010)
24. Liu, Y.J., Tong, S.C., Wang, W., Li, Y.M.: Observer-based direct adaptive fuzzy control of uncertain nonlinear systems and its applications. Int. J. Control Autom. Syst. 7(4), 681–690 (2009)
25. Li, Y., Tong, S., Li, Y.: Observer-based adaptive fuzzy backstepping control of MIMO stochastic nonlinear strict-feedback systems. Nonlinear Dyn. 67(2), 1579–1593 (2012)
26. Arefi, M.M., Zarei, J., Karimi, H.R.: Adaptive output feedback neural network control of uncertain non-affine systems with unknown control direction. J. Frankl. Instit. 351, 4302–4316 (2014)
27. Arefi, M.M., Zarei, J., Karimi, H.R.: Observer-based adaptive stabilization of a class of uncertain nonlinear systems. Syst. Sci. Control Eng. 2(1), 362–367 (2014)
28. Chen, M., Ge, S.S.: Direct adaptive neural control for a class of uncertain nonaffine nonlinear systems based on disturbance observer. IEEE Trans. Cybern. 43(4), 1213–1225 (2013)
29. Leu, Y.G., Wang, W.Y., Lee, T.T.: Observer-based direct adaptive fuzzy-neural control for nonaffine nonlinear systems. IEEE Trans. Neural Netw. 16(4), 853–861 (2005)
30. Nussbaum, R.D.: Some remarks on a conjecture in parameter adaptive control. Syst. Control Lett. 3(5), 243–246 (1983)