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On the sampled-data H∞ filtering problem
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DOI：10.1016/S0005-1098(98)00222-2.png)
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摘要
En 中文
In this paper the H-infinity filtering problem of a continuous-time process is considered under the assumption that the measurement is sampled by a generalized sampling device. Both cases of known and unknown initial conditions are considered. The problem is treated via the lifting transformation, which converts the problem to a pure discrete-time setting. It is shown that if a suboptimal filter exists, it can always be presented in the form of a finite-dimensional discrete-time (possibly time-varying) filter followed by a stationary generalized hold function. This extends previous results in the literature, where a suboptimal filter of this structure (with an LTI discrete-time part of the filter) was obtained for the case of known initial conditions only. Also, the existence conditions of a suboptimal filter derived in this paper are simpler than those known in the literature. (C) 1999 Elsevier Science Ltd. All rights reserved.
Keyword:
H-infinity filtering
sampled-data systems
filtering theory
lifting technique
discrete systems
holding elements
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