Further results on the use of nussbaum gains in adaptive neural network control

IEEE Transactions on Automatic Control

Volumn 55, Issue 12, 2010, Pages 2841-2846

  Psillakis, Haris E ^a  

^a TECHNICAL UNIVERSITY OF CRETE   (Greece)

Author keywords

Adaptive neural network control; deadzone; hysteresis; Nussbaum gains; resetting

Indexed keywords

ADAPTIVE NEURAL NETWORK CONTROL; ADAPTIVE NEURAL NETWORKS; BOUNDEDNESS; DEAD-ZONE; FINITE TIME; FORWARD COMPLETENESS; MULTIPLE-INPUT-MULTIPLE-OUTPUT; NUSSBAUM GAIN; PIECE-WISE; RESETTING; SMALL REGION; TRACKING CONTROLLER;

HYSTERESIS; MIMO SYSTEMS; NEURAL NETWORKS;

ADAPTIVE CONTROL SYSTEMS;

EID: 78650029998     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2010.2078070     Document Type: Article

References (23)

1. R. D. Nussbaum, "Some remarks on the conjecture in parameter adaptive control," Syst. Control Lett., vol. 3, pp. 243-246, 1983.
2. X. Ye and J. Jiang, "Adaptive nonlinear design without a priori knowledge of control directions," IEEE Trans. Autom. Control, vol. 43, no. 11, pp. 1617-1621, Nov. 1998.
3. S. S. Ge and J. Wang, "Robust adaptive neural control for a class of perturbed strict feedback nonlinear systems," IEEE Trans. Neural Networks, vol. 13, no. 6, pp. 1409-1419, Nov. 2002.
4. S. S. Ge, F. Hong, and T. H. Lee, "Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients," IEEE Trans. Syst., Man Cybern. B, vol. 34, no. 1, pp. 499-516, Feb. 2004.
5. H. Du, H. Shao, and P. Yao, "Adaptive neural network control for a class of low-triangular-structured nonlinear systems," IEEE Trans. Neural Netwworks, vol. 17, no. 2, pp. 509-514, Mar. 2006.
6. C.-C. Hua, Q.-G.Wang, and X.-P. Guan, "Adaptive fuzzy output-feedback controller design for nonlinear time-delay systems with unknown control direction," IEEE Trans. Syst., Man Cybern. B, vol. 39, no. 2, pp. 363-374, Apr. 2009.
7. T. P. Zhang and S. S. Ge, "Adaptive neural network tracking control of MIMO nonlinear systems with unknown dead zones and control directions," IEEE Trans. Neural Networks, vol. 20, no. 3, pp. 483-497, May 2009.
8. F. Hong, S. S. Ge, B. Ren, and T. H. Lee, "Robust adaptive control for a class of uncertain strict-feedback nonlinear systems," Int. J. Robust Nonlin. Control, vol. 19, pp. 746-767, 2009.
9. E. P. Ryan, "A nonlinear universal servomechanism," IEEE Trans. Autom. Control, vol. 39, no. 4, pp. 753-761, Apr. 1994.
10. A. Ilchmann and E. P. Ryan, "Universal λ-tracking for nonlinearlyperturbed systems in the presence of noise," Automatica, vol. 30, no. 2, pp. 337-346, 1994.
11. A. F. Filippov, Differential Equations With Discontinuous Righthand Sides. Norwell, MA: Kluwer, 1988.
12. J. Cortes, "Discontinuous dynamical systems: A tutorial on solutions, nonsmooth analysis and stability," IEEE Control Syst. Mag., vol. 28, no. 3, pp. 36-73, Jun. 2008.
13. D. Shevitz and B. Paden, "Lyapunov stability theory of nonsmooth systems," IEEE Trans. Autom. Control, vol. 39, no. 9, pp. 1910-1914, Sep. 1994.
14. M. M. Polycarpou and P. A. Ioannou, "On the existence and uniqueness of solutions in adaptive control systems," IEEE Trans. Autom. Control, vol. 38, no. 3, pp. 474-479, Mar. 1993.
15. M. French, C. Szepesvari, and E. Rogers, "Uncertainty, performance and model dependency in approximate adaptive nonlinear control," IEEE Trans. Autom. Control, vol. 45, no. 2, pp. 353-358, Feb. 2000.
16. A. S. Morse, D. Q. Mayne, and G. C. Goodwin, "Applications of hysteresis switching in parameter adaptive control," IEEE Trans. Autom. Control, vol. 37, no. 9, pp. 1343-1354, Sep. 1992.
17. S. R. Weller and G. C. Goodwin, "Hysteresis switching adaptive control of linear multivariable systems," IEEE Trans. Autom. Control, vol. 39, no. 7, pp. 1360-1375, Jul. 1994.
18. E. B. Kosmatopoulos and P. A. Ioannou, "A switching adaptive controller for feedback linearizable systems," IEEE Trans. Autom. Control, vol. 44, no. 4, pp. 742-750, Sep. 1999.
19. S. S. Ge, T. Zhang, and C. C. Hang, "Stable adaptive control for nonlinear multivariable systems with a triangular control structure," IEEE Trans. Autom. Control, vol. 45, no. 6, pp. 1221-1224, Jun. 2000.
20. J. E. Slotine and W. Li, Applied Nonlinear Control. Englewood Cliffs, NJ: Prentice Hall, 1991.
21. R. M. Sanner and J.-J. E. Slotine, "Gaussian networks for direct adaptive control," IEEE Trans. Neural Networks, vol. 3, no. 6, pp. 837-863, Nov. 1992.
22. E. B. Kosmatopoulos, M. M. Polycarpou, M. A. Christodoulou, and P. A. Ioannou, "High-order neural network structures for identification of dynamical systems," IEEE Trans. Neural Networks, vol. 6, no. 2, pp. 422-431, Mar. 1995.
23. H. E. Psillakis, "Projection-based adaptive neurocontrol with switching logic deadzone tuning," IEEE Trans. Neural Networks, vol. 20, no. 9, pp. 1520-1527, Sep. 2009.