Sampled-data adaptive NN tracking control of uncertain nonlinear systems

IEEE Transactions on Neural Networks

Volumn 20, Issue 2, 2009, Pages 336-355

  Psillakis, Haris E ^a  

^a TECHNOLOGICAL EDUCATIONAL INSTITUTE OF CRETE   (Greece)

Author keywords

Adaptive control; Neural networks; Sampled data control; Uncertain nonlinear systems

Indexed keywords

COMPUTER CONTROL SYSTEMS; CONTINUOUS TIME SYSTEMS; CONTROL THEORY; CONTROLLERS; DIGITAL COMPUTERS; ELECTRIC NETWORK ANALYSIS; NEURAL NETWORKS; NONLINEAR CONTROL SYSTEMS; SAMPLED DATA CONTROL SYSTEMS; TELECOMMUNICATION NETWORKS;

ADAPTIVE CONTROL; ADAPTIVE NEURAL CONTROLLERS; ADAPTIVE NEURAL CONTROLS; ADAPTIVE NEURAL NETWORK CONTROLLERS; BOUNDEDNESS; CLOSED LOOPS; CLOSED-LOOP SYSTEMS; COMPUTER IMPLEMENTATIONS; CONTINUOUS-TIME; CONTROL LAWS; DISCRETE-TIME MODELS; HIGH-ORDER NEURAL NETWORKS; INTERMEDIATE RESULTS; LYAPUNOV; LYAPUNOV TECHNIQUES; NON LINEARITIES; SAMPLED DATUM; SAMPLED-DATA CONTROL; SAMPLING PERIODS; SEMI-GLOBAL; SIMULATION RESULTS; SINGLE INPUT SINGLE OUTPUTS; SMALL SAMPLINGS; TRACKING CONTROLLERS; TRACKING CONTROLS; UNCERTAIN NONLINEAR SYSTEMS; UNIFORMLY ULTIMATE BOUNDEDNESS;

ADAPTIVE CONTROL SYSTEMS;

EID: 60849106264     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2008.2006981     Document Type: Article

References (25)

1. M. M. Polycarpou, "Stable adaptive neural control scheme for non-linear systems," IEEE Trans. Autom. Control, vol. 41, no. 3, pp. 447-451, Mar. 1996.
2. M. M. Polycarpou and M. Mears, "Stable adaptive tracking of uncertain systems using nonlinearly parametrized on-line approximators," Int. J. Control, vol. 70, no. 3, pp. 363-384, 1998.
3. 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 Netw., vol. 6, no. 2, pp. 422-431, Mar. 1995.
4. S. S. Ge, C. C. Hang, and T. Zhang, "A direct method for robust adaptive nonlinear control with guaranteed transient performance," Syst. Control Let., vol. 37, pp. 275-284, 1999.
5. T. Zhang, S. S. Ge, and C. C. Hang, "Design and performance analysis of a direct adaptive controller for nonlinear systems," Automatica, vol. 35, pp. 1809-1817, 1999.
6. F. L. Lewis, S. Jagannathan, and A.Yesildirek, Neural Network Control of Robot Manipulators and Nonlinear Systems. London, U.K.: Taylor & Francis, 1999.
7. G. A. Rovithakis, "Stable adaptive neuro-control design via Lyapunov function derivative estimation," Automatica, vol. 37, no. 8, pp. 1213-1221, 2001.
8. S. S. Ge, C. C. Hang, T. H. Lee, and T. Zhang, Stable Adaptive Neural Network Control. Boston, MA: Kluwer, 2001.
9. J. T. Spooner, M. Maggiore, R. Ordonez, and K. M. Passino, Stable Adaptive Control and Estimation for Nonlinear Systems- Neural and Fuzzy Approximator Techniques. New York: Wiley, 2002.
10. N. Hovakimyan, A. J. Calise, and N. Kim, "Adaptive output feedback control of a class of multi-input multi-output systems using neural networks," Int. J. Control, vol. 77, no. 15, pp. 1318-1329, 2004.
11. S. S. Ge, F. Hong, and T. H. Lee, "Adaptive neural network control of nonlinear systems with unknown time-delays," IEEE Trans. Autom. Control, vol. 48, no. 11, pp. 2004-2010, Nov. 2003.
12. H. E. Psillakis and A. T. Alexandridis, "NN-based adaptive tracking control of uncertain nonlinear systems disturbed by unknown covariance noise," IEEE Trans. Neural Netw., vol. 18, no. 6, pp. 1830-1835, Nov. 2007.
13. F. C. Chen and H. K. Khalil, "Adaptive control of a class of nonlinear discrete-time systems using neural networks," IEEE Trans. Autom. Control, vol. 40, no. 5, pp. 791-801, May 1995.
14. S. S. Ge, T. H. Lee, G. Y. Li, and J. Zhang, "Adaptive NN control for a class of discrete-time nonlinear systems," Int. J. Control, vol. 76, no. 4, pp. 334-354, 2003.
15. S. Jagannathan, Neural Network Control of Nonlinear Discrete-Time Systems. Boca Raton, FL: Taylor & Francis, 2006.
16. T. Chen and B. A. Francis, Optimal Sampled-Data Control Systems. London, U.K.: Springer-Verlag, 1995.
17. D. Nesic, A. R. Teel, and E. D. Sontag, "Formulas relating KL stability estimates of discrete-time and sampled-data nonlinear systems," Syst. Control Lett., vol. 38, pp. 49-60, 1999.
18. D. Nesic, A. R. Teel, and P. V. Kokotovic, "Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations," Syst. Control Lett., vol. 38, pp. 359-270, 1999.
19. D. S. Laila, D. Nesic, and A. R. Teel, "Open and closed loop dissipation inequalities under sampling and controller emulation," Eur. J. Control, vol. 8, no. 2, pp. 109-125, 2002.
20. D. Nesic and A. R. Teel, "A framework for stabilization of nonlinear sampled-data systems on their approximate discrete-time models," IEEE Trans. Autom. Control, vol. 49, no. 7, pp. 1103-1122, Jul. 2004.
21. D. Nesic and L. Grüne, "Lyapunov-based continuous-time controller redesign for sampled-data implementation," Automatica, vol. 41, pp. 1143-1156, 2005.
22. M. Krstic, I. Kanellakopoulos, and P. V. Kokotovic, Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
23. H. Deng and M. Krstic, "Stochastic nonlinear stabilization-I: A backstepping design," Syst. Control Lett., vol. 32, pp. 143-150, 1997.
24. F. Sun, Z. Sun, and P. Y. Woo, "Stable neural-network-based adaptive control for sampled-data nonlinear systems," IEEE Trans. Neural Netw., vol. 9, no. 5, pp. 956-968, Sep. 1998.
25. S. S. Ge, Y. Li, J. Zhang, and T. H. Lee, "Direct adaptive control for a class of MIMO nonlinear systems using neural networks," IEEE Trans. Autom. Control, vol. 49, no. 11, pp. 2001-2006, Nov. 2004.