An LMI approach to discrete-time observer design with stochastic resilience

Journal of Computational and Applied Mathematics

Volumn 188, Issue 2, 2006, Pages 246-255

  Yaz, Edwin Engin ^a   Jeong, Chung Seop ^a   Yaz, Yvonne Ilke ^b  

^a Marquette University   (United States)

^b MILWAUKEE SCHOOL OF ENGINEERING   (United States)

Author keywords

Discrete time Luenberger observer; LMI; Resilence

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; ROBUSTNESS (CONTROL SYSTEMS); SENSORS; STOCHASTIC CONTROL SYSTEMS;

DISCRETE-TIME LUENBERGER OBSERVER; LMI; MEASUREMENT MODEL; RESILENCE;

DISCRETE TIME CONTROL SYSTEMS;

EID: 28244476504     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.04.016     Document Type: Article

References (12)

1. S. Boyd, L.E. Ghaoui, E. Feron, and V. Balakrishnan Linear matrix inequalities in system and control theory 1994 SIAM Studies in Applied Mathematics, SIAM Philadelphia
2. P. Dorato Non-fragile controller design: an overview Proceedings of ACC 1998 2829 2831
3. D. Famularo, C.T. Abdallah, A. Jadbabaie, P. Dorato, and W.H. Haddad Robust non-fragile LQ controllers: the static feedback case Proceedings of ACC 1998 1109 1113
4. A. Jadbabaie, C.T. Abdallah, D. Famularo, and P. Dorato Robust, non-fragile and optimal controller design via linear matrix inequalities Proceedings of ACC 1998 2832 2836
5. L.H. Keel, and S.P. Bhattacharyya Robust, fragile, or optimal? IEEE Trans. Automat. Control 42 1997 1098 1105
6. L.H. Keel, and S.P. Bhattacharyya Stability margins and digital implementation of controllers Proceedings of ACC 1998 2852 2856
7. M.S. Mahmoud Resilient linear filtering of uncertain systems Automatica 40 2004 1797 1802
8. R.H.C. Takahashi, D.A. Dutra, R.M. Palhares, and P.K.D. Peres On robust non-fragile static state-feedback controller synthesis Proceedings of CDC 2000 4909 4914
9. G.-H. Yang, and J.L. Wang Robust non-fragile Kalman filtering for uncertain linear systems IEEE Trans. Automat. Control 46 2001 343 348
10. E. Yaz On the almost sure and mean square exponential convergence of some stochastic observers IEEE Trans. Automat. Control 35 1990 935 936
11. E.E. Yaz Robust stability of discrete-time randomly perturbed systems Control and Dynamic Systems vol. 73 1995 Academic Press New York 89 120
12. Y.I. Yaz, and E.E. Yaz A new formulation of some discrete-time stochastic-parameter state estimation problems Appl. Math. Lett. 10 1997 13 19