Nonlinear ℋ∞ filtering of sampled-data systems

Automatica

Volumn 36, Issue 2, 2000, Pages 303-310

  Nguang, Sing Kiong ^a   Shi, Peng ^b  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

^b UNIVERSITY OF SOUTH AUSTRALIA   (Australia)

Author keywords

Discrete systems; Estimators; Filtering problem; Sampled data systems

Indexed keywords

ERRORS; NONLINEAR FILTERING; OPTIMAL CONTROL SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; RICCATI EQUATIONS; STATE SPACE METHODS;

FILTERING PROBLEM; HAMILTON-JACOBI EQUATIONS; LINEAR TIME INVARIANCE;

SAMPLED DATA CONTROL SYSTEMS;

EID: 0034140962     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(99)00141-7     Document Type: Article

References (25)

1. ∞ control for nonlinear plants: Connection with differential games. Proceedings of the 28th IEEE Conference Decision Control (pp. 956-962).
2. ∞ control for nonlinear systems with output feedback. IEEE Transactions on Automatic Control, 38, 546-559.
3. ∞ sampled-data control. IEEE Transactions on Automatic Control, 37, 418-435.
4. Bamieh, B., Pearson, J., Francis, B., & Tannenbaum, A. (1991). A lifting technique for linear periodic systems with applications to sampled-data control. Systems and Control Letters, 17, 78-88.
5. Basar, T. (1991). Optimum performance levels for minimax filters, predictors and smoothers. Systems and Control Letters, 16, 309-317.
6. Basar, T., & Olsder, G. J. (1982). Dynamic Noncooperative Game Theory. New York: Academic Press.
7. Hara, S., & Kabamba, P. T. (1990). Worst case analysis and design of sampled-data control systems. Proceedings of 29th IEEE Conference Decision Control, Honolulu, HI (pp. 202-203).
8. Hill, D. J., & Moylan, P. J. (1980). Dissipative dynamical systems: Basic input-output and state properties. Journal of Franklin Institute, 309, 327-357.
9. Isidori, A. (1991). Feedback control of nonlinear systems. Proceedings of the First European Control Conference (pp. 1001-1012).
10. ∞-control via measurement feedback in nonlinear systems. IEEE Transactions on Automatic Control, 37, 1283-1293.
11. ∞ control with measurement feedback. Automatica, 31, 419-434.
12. ∞ control of discrete time nonlinear systems. IEEE Transactions on Automatic Control, 41, 494-510.
13. ∞ filtering for known and uncertain nonlinear systems. Proceedings of IFAC, Symposium Robust Control Design (pp. 347-352).
14. ∞ filtering. Automatica, 32, 1195-1199.
15. Shi, P. (1994). Issues in robust filtering and control of sampled-data systems. Technical Report. The University of Newcastle (Ph.D Thesis).
16. Shi, P. (1996). Robust filtering for uncertain systems with sampled measurements. International Journal of Systems Science, 27(12), 1403-1415.
17. Shi, P. (1998). Filtering on sampled-data systems with parametric uncertainty IEEE Transactions on Automatic Control, to appear.
18. 2-induced norm for linear systems with jumps with application to sampled-data systems. SIAM Journal on Control and Optimisation, 32, 1128-1150.
19. ∞ control and filtering for sampled-data systems. IEEE Transactions on Automatic Control, 38, 1162-1175.
20. ∞ control of nonlinear systems with sampled measurements. Journal of Mathematical Systems, Estimation, and Control, 5, 1-12.
21. ∞ optimality criterion. Automatica, 28, 45-54.
22. ∞ control. Systems and Control Letters, 16, 1-8.
23. infin; control. IEEE Transactions on Automatic Control, 37, 770-784.
24. Willems, J. C. (1972). Dissipative dynamical systems Part I: General theory. Archives of Rational Mechanical Analysis, 45, 321-351.
25. ∞, norm of sampled-data systems. Systems and Control Letters, 21, 163-172.