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Delay-dependent robust Kalman filtering for interval systems with time delay

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4 Author(s)
Chien-Yu Lu ; Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan ; J. S. -H. Tsai ; Te-Jen Su ; Gwo-Jia Jong

This paper studies the problem of Kalman filtering for a class of linear continuous-time interval systems with delay dependent conditions. By employing a Lyapunov-Krasovskii functional approach, it is proven that the dynamics of the estimation error is stochastically exponentially stable in the mean square. Sufficient conditions are proposed to guarantee the existence of the desired robust Kalman filters by solving linear matrix inequality which is delay-dependent. A numerical example is worked out to illustrate the validness of the theoretical results.

Published in:

Decision and Control, 2003. Proceedings. 42nd IEEE Conference on  (Volume:6 )

Date of Conference:

9-12 Dec. 2003