Feasibility and convergence analysis of discrete-time H∞ a priori filters

Proceedings of the American Control Conference

Volumn 6, Issue , 2000, Pages 4179-4183

  Zhu, Xing ^a   Soh, Yeng Chai ^a   Xie, Lihua ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE ANALYSIS; INITIAL CONDITIONS; MATRIX INEQUALITY; SUFFICIENT CONDITIONS;

CONTROL; DIFFERENCE EQUATIONS; DISCRETE TIME CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; KALMAN FILTERING; LINEAR CONTROL SYSTEMS; RICCATI EQUATIONS; SYSTEM STABILITY; THEOREM PROVING;

RICCATI EQUATIONS; OPTIMAL CONTROL SYSTEMS;

DIFFERENCE RICCATI EQUATION; DISCRETE TIME OPTIMAL A PRIORI FILTER; EUCLIDEAN SPACE; LINEAR DISCRETE TIME SYSTEM;

EID: 0034548248     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2000.877008     Document Type: Conference Paper

References (9)

1. P. Bolzern and M. Maroni, "New conditions for the convergence of H∞ filters and predictors," IEEE Trans. on Automatic Control, vol. 44, pp. 1564-1568, 1999.
2. K. Nagpal and P. Khargonekar, "Filtering and smoothing in an H∞ setting," IEEE Trans. on Automatic Control, vol. 36, pp. 152-166, 1991.
3. P. Bolzern, P. Colaneri, and G. de Nicolao, "H∞-differential Riccati equations: convergence properties and finite escape phenomena," IEEE Trans. on Automatic Control, vol. 42, pp. 113-118, 1997.
4. P. Bolzern, P. Colaneri, and G. de Nicolao, "Transient and asymptotic analysis of discrete-time H∞-filters," European Journal of Control, no. 3, pp. 317-324, 1997.
5. C. E. de Souza and L. Xie, "Robust H∞ filtering," Control and Dynamic System, vol. 65, pp. 323-377, 1994
6. G. de Nicolao, "On the time-varying Riccati difference equation of optimal filtering," SIAM J. Control and Optimization, vol. 30, pp. 1251-1269, 1992.
7. L. Xie, C. E. de Souza, and Y. Wang, "Robust filtering for a calss of discrete-time uncertain nonlinear systems: an H∞ approach," Int. J. Robust 6 Nolinear Control, vol. 6, pp. 297-312, 1996.
8. C. E. de Souza, "On stabilizing properties of solutions of the Riccati difference equation," IEEE Trans. on Automatic Control, vol. 34, pp. 1113-1116, 1989.
9. K. Zhou, J. Doyle, and P. Khargonekar, Robust and optimal control. Englewood Cliffis, N. J.: Prentice-Hall, 1996.