Neural network adaptive control for a class of nonlinear uncertain dynamical systems with asymptotic stability guarantees

IEEE Transactions on Neural Networks

Volumn 19, Issue 1, 2008, Pages 80-89

  Hayakawa, Tomohisa ^a   Haddad, Wassim M ^b   Hovakimyan, Naira ^c  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

^b Georgia Institute of Technology   (United States)

^c State University   (United States)

Author keywords

Adaptive control; Asymptotic stability; Input tostate stable internal dynamics; Neural networks (NNs); Partial stability; Sector bounded nonlinearities

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; APPROXIMATION THEORY; ASYMPTOTIC STABILITY; CLOSED LOOP CONTROL SYSTEMS; DYNAMICAL SYSTEMS; LYAPUNOV METHODS; NONLINEAR SYSTEMS; NUMERICAL METHODS; ROBUST CONTROL; UNCERTAIN SYSTEMS;

INPUT-TO-STATE STABLE INTERNAL DYNAMICS; NEUROADAPTIVE CONTROL; PARTIAL STABILITY;

NEURAL NETWORKS;

ADAPTATION; ALGORITHM; ARTICLE; ARTIFICIAL NEURAL NETWORK; FEEDBACK SYSTEM; HUMAN; NONLINEAR SYSTEM; TIME;

ADAPTATION, PHYSIOLOGICAL; ALGORITHMS; FEEDBACK; HUMANS; NEURAL NETWORKS (COMPUTER); NONLINEAR DYNAMICS; TIME FACTORS;

EID: 39549084132     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2007.902704     Document Type: Article

References (22)

1. K. S. Narendra and K. Parthasarathy, "Identification and control of dynamical systems using neural networks," IEEE Trans. Neural Netw. vol. 1, no. 1, pp. 4-27, Mar. 1990.
2. F. C. Chen and H. K. Khalil, "Adaptive control of nonlinear systems using neural networks," Int. J. Control, vol. 55, no. 6, pp. 1299-1317, 1992.
3. K. J. Hunt, D. Sbarbaro, R. Zbikowski, and P. J. Gawthrop, "Neural networks for control: A survey," Automatica, vol. 28, pp. 1083-1112, 1992.
4. A. U. Levin and K. S. Narendra, "Control of nonlinear dynamical systems using neural networks: Controllability and stabilization," IEEE Trans. Neural Netw., vol. 4, no. 2, pp. 192-206, Mar. 1993.
5. F. L. Lewis, A. Yesildirek, and K. Liu, "Multilayer neural-net robot controller with guaranteed tracking performance," IEEE Trans. Neural Netw., vol. 7, no. 2, pp. 388-399, Mar. 1996.
6. N. Hovakimyan, F. Nardi, A. Calise, and N. Kim, "Adaptive output feedback control of uncertain nonlinear systems using single-hidden-layer neural networks," IEEE Trans. Neural Netw., vol. 13, no. 6, pp. 1420-1431, Nov. 2002.
7. J. Y. Choi and J. A. Farrell, "Adaptive observer backstepping control using neural networks," IEEE Trans. Neural Netw., vol. 12, no. 5, pp. 1103-1112, Sep. 2001.
8. S. S. Ge and C. Wang, "Adaptive neural control of uncertain MIMO nonlinear systems," IEEE Trans. Neural Netw., vol. 15, no. 3, pp. 674-692, May 2004.
9. N. Hovakimyan, A. 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.
10. H. K. Khalil, Nonlinear Systems, 3rd ed. Upper Saddle River, NJ: Prentice-Hall, 2002.
11. K. S. Narendra and A. M. Annaswamy, Stable Adaptive Systems. Englewood Cliffs, NJ: Prentice-Hall, 1989.
12. M. Krstié, I. Kanellakopoulos, and P. V. Kokotović, Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
13. P. A. Ioannou and J. Sun, Robust Adaptive Control. Upper Saddle River, NJ: Prentice-Hall, 1996.
14. F. L. Lewis, S. Jagannathan, and A. Yesildirak, Neural Network Control of Robot Manipulators and Nonlinear Systems. London, U.K.: Taylor & Francis, 1999.
15. V. Chellaboina and W. M. Haddad, "A unification between partial stability and stability theory for time-varying systems," IEEE Control Syst. Mag., vol. 22, no. 6, pp. 66-75, Dec. 2002.
16. B.-J. Yang, A. Calise, and N. Hovakimyan, "Augmenting adaptive output feedback control to an uncertain nonlinear system with actuator nonlinearities," in Proc. Amer. Control Conf., Boston, MA, Jul. 2004, pp. 4675-4680.
17. N. Hovakimyan, B.-J. Yang, and A. J. Calise, "Adaptive output feed-back control methodology applicable to non-minimum phase nonlinear systems," Automatica, vol. 42, no. 4, pp. 513-522, 2006.
18. E. D. Sontag and Y. Wang, "On characterizations of the input-to-state stability property," Syst. Control Lett., vol. 24, pp. 351-359, 1995.
19. J. C. Willems, "Least squares stationary optimal control and the algebraic Riccati equation," IEEE Trans. Autom. Control, vol. AC-16, no. 6, pp. 621-634, Dec. 1971.
20. A. Isidori, Nonlinear Control Systems. New York: Springer-Verlag, 1995.
21. C.-T. Chen, Linear System Theory and Design. New York: Holt, Rinehart and Winston, 1984.
22. ∞ optimization," Int. J. Control, vol. 49, pp. 1683-1723, 1989.