Stable adaptive control for a class of nonlinear systems using a modified Lyapunov function

IEEE Transactions on Automatic Control

Volumn 45, Issue 1, 2000, Pages 129-132

  Zhang, T ^a   Ge, S S ^a   Hang, C C ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; ALGORITHMS; CLOSED LOOP CONTROL SYSTEMS; CONVERGENCE OF NUMERICAL METHODS; FEEDBACK CONTROL; FUZZY SETS; LINEARIZATION; LYAPUNOV METHODS; NEURAL NETWORKS; NONLINEAR CONTROL SYSTEMS; POLES AND ZEROS; SYSTEM STABILITY;

ADAPTIVE NONLINEAR CONTROL; FEEDBACK LINEARIZATION; LYAPUNOV STABILITY THEORY;

CONTROL SYSTEM SYNTHESIS;

EID: 0033893933     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.827369     Document Type: Article

References (14)

1. A. Isidori, Nonlinear Control System, 2nd ed. Berlin, Germany: Springer-Verlag, 1989.
2. S. S. Sastry and A. Isidori, "Adaptive control of linearizable systems," IEEE Trans. Automat. Contr., vol. 34, pp. 1123-1131, 1989.
3. F. C. Chen and C. C. Liu, "Adaptively controlling nonlinear continuous-time systems using multilayer neural networks," IEEE Trans. Automat. Contr., vol. 39, pp. 1306-1310, Dec. 1994.
4. A. Yesidirek and F. L. Lewis, "Feedback linearization using neural networks," Automatica, vol. 31, pp. 1659-1664, 1995.
5. M. M. Polycarpou and P. A. Ioannou, "Modeling, identification and stable adaptive control of continuous-time nonlinear dynamical system using neural networks," in Proc. Am. Contr. Conf., Chicago, IL, 1992, pp. 36-40.
6. L. X. Wang, Adaptive Fuzzy Systems and Control: Design and Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1994.
7. J. T. Spooner and K. M. Passino, "Stable adaptive control using fuzzy systems and neural networks," IEEE Trans Fuzzy Syst., vol. 4, pp. 339-359, Mar. 1996.
8. S. S. Ge, T. H. Lee, and C. J. Harris, Adaptive Neural Network Control of Robotic Manipulators London, U.K.: World Scientific, 1998.
9. R. M. Sanner and J. E. Slotine, "Gaussian networks for direct adaptive control," IEEE Trans Neural Networks, vol. 3, pp. 837-863, June 1992.
10. P. A. Ioannou and J. Sun, Robust Adaptive Control. Englewood Cliffs, NJ: Prentice-Hall, 1996.
11. J. E. Slotine and W. Li, Applied Nonlinear Control. Englewood Cliffs, NJ: Prentice-Hall, 1991.
12. 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, pp. 422-431, Feb. 1995.
13. T. M. Apostol, Mathematical Analysis Reading, MA: Addison-Wesley, 1957.
14. V. Lakshmikantham and S. Leela, Differential and Integral Inequalities. New York, NY: Academic, 1969.