Nearly optimal HJB solution for constrained input systems using a neural network least-squares approach

Proceedings of the IEEE Conference on Decision and Control

Volumn 1, Issue , 2002, Pages 943-948

  Abu Khalaf, Murad ^a   Lewis, Frank L ^a  

^a UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ASYMPTOTIC STABILITY; CLOSED LOOP CONTROL SYSTEMS; CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; INTEGRAL EQUATIONS; LEAST SQUARES APPROXIMATIONS; NEURAL NETWORKS; OPTIMIZATION;

CONSTRAINED INPUT SYSTEMS; HAMILTON-JACOBI-BELLMAN EQUATION;

CONTROL SYSTEM ANALYSIS;

EID: 0036993546     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (14)

1. R. Beard, G. Saridis, J. Wen, "Approximate Solutions to the Time-Invariant Hamilton-Jacobi-Bellman Equation," Journal of Optimization Theory and Application, vol. 96, no. 3, March 1998, pp. 589-626.
2. R. Beard, G. Saridis, J. Wen, "Galerkin Approximations of the Generalized Hamilton-Jacobi-Bellman Equation," Automatica 33:12, December, pp. 2159-2177, 1997.
3. D. P. Bertsekas, J. N. Tsitsiklis, "Neuro-Dynamic Programming: An Overview" in Proc. IEEE Conf. Decis. And Control, December 1995, pp. 560-564.
4. D. P. Bertsekas, J. N. Tsitsiklis, "Neuro-Dynamic Programming," Athena Scientific, Belmont, MA, 1996.
5. Y. H. Kim, F. L. Lewis, D. Dawson, "Intelligent optimal control of robotic manipulators using neural networks", in Automatic 36, 2000, pp. 1355-1364.
6. D. Kleinman, "On an iterative Technique for Riccati Equation Computations," in IEEE Trans. Automatic Control, pp. 114-115, February 1968.
7. F. L. Lewis, V. L. Syrmos, "Optimal Control," John Wiley & Sons, Inc. New York, NY. 1995.
8. X. Liu, S. N. Balakrishnan, "Convergence Analysis of Adaptive Critic Based Optimal Control", in Proc. American Control Conference, June, 2000, pp. 1929-1933.
9. S. E. Lyshevski, "Control Systems Theory with Engineering Applications," Birkhauser, Boston, MA, 2001.
10. S. E. Lyshevski, A. u. Meyer, "Control System Analysis and Design Upon the Lyapunov Method," in Proc. American Control Conference, June, 1995, pp. 3219-3223.
11. S. E. Lyshevski, "Optimal Control of Nonlinear Continuous-Time Systems: Design of Bounded Controllers Via Generalized Nonquadratic Functionals," in Proc. American Control Conference, June 1998, pp. 205-209.
12. R. Munos, L. C. Baird, A. Moore, "Gradient Descent Approaches to Neural-Net-Based Solutions of the Hamilton-Jacobi-Bellman Equation", in International Joint Conference on Neural Networks IJCNN, 1999, vol. 3, pp. 2152-2157.
13. J. Murray, C. Cox, R. Saeks and G. Lendaris, "Globally Convergent Approximate Dynamic Programming Applied to an Autolander", in Proc. American Control Conference, June, 2001, pp. 2901-2906.
14. G. Saridis, C. S. Lee, "An Approximation Theory of optimal Control for Trainable Manipulators", IEEE Trans. Systems, Man, Cybernetics, Vol. 9, No. 3, pp. 152-159, March 1979.