Hamilton-jacobi-isaacs formulation for constrained input nonlinear systems

Proceedings of the IEEE Conference on Decision and Control

Volumn 5, Issue , 2004, Pages 5034-5040

  Abu Khalaf, Murad ^a   Lewis, Frank L ^a   Huang, Jie ^b  

^a UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

^b CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CLOSED LOOP CONTROL SYSTEMS; CONSTRAINT THEORY; FEEDBACK CONTROL; GAME THEORY; ITERATIVE METHODS; OPTIMAL CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS);

ATTENUATION GAIN; DIFFERENTIAL GAME; HAMILTON-JACOBI-ISAACS (HJI) FORMULATION; INPUT SYSTEMS;

NONLINEAR CONTROL SYSTEMS;

EID: 14544287403     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2004.1429604     Document Type: Conference Paper

References (16)

1. M. Bardi, I. Capuzzo-Dolcetta, "Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations," Birkhauser, Boston, MA, 1997.
2. ∞ Optimal Control and Related Minimax Design Problems, Birkhäuser, 1995.
3. Beard, R., T. McLain, (1998). Successive Galerkin approximation algorithms for nonlinear optimal and robust control. International Journal of Control, vol 71. no. 5, pp 717-743.
4. ∞ Control Problems," IEEE Trans. Automat. Control, vol. 34, no. 8, pp. 831-847, 1989.
5. ∞ Control Laws. Journal of Guidance, Control, and Dynamics, vol. 18, no. 5, pp. 989-994.
6. ∞ -Control via Measurement Feedback in Nonlinear Systems," IEEE Trans. Automat. Control, vol. 37 no. 9, pp. 1283-1293, 1992.
7. rd Edition, Prentice Hall, Upper Saddle River, NJ.
8. Kirk, D. (1970). Optimal Control Theory: An Introduction. Prentice Hall, New Jersey.
9. Knobloch, H., Isidori, A., Flockerzi, D., Topics in Control Theory, Springer Verlag, Boston, 1993.
10. Lewis, F. L., V. L. Syrmos (1995). Optimal Control. John Wiley & Sons, Inc. New York, NY.
11. Lyshevski, S. E. (2001a). Role of Performance Functionals in Control Laws Design. Proc. American Control Conference, pp. 2400-2405.
12. Naylor, A. W., Sell, G. R., Linear Operator Theory in Engineering and Science, Holt, Rinehart and Winston, INC, 1971.
13. ∞ Control," IEEE Trans. Automat. Control, vol. 37 no. 6, pp. 770-784, 1992.
14. J. C. Willems, "Dissipative Dynamical Systems Part I: General Theory," Archive for Rational Mechanics and Analysis, vol 45, no.1, pp. 321-351, 1972.
15. J. C. Willems, "Dissipative Dynamical Systems Part II: Linear Systems with Quadratic Supplies," Archive for Rational Mechanics and Analysis, vol 45, no.1, pp. 352-393, 1972.
16. G. Zames, "Feedback and Optimal Sensitivity: Model Reference Transformations, Multiplicative Seminorms, and Approximate Inverses," IEEE Trans. Automat. Control, vol. 26 no. 2, pp. 301-320, 1981.