Optimal filtering for Itô-stochastic continuous-time systems with multiple delayed measurements

Document Type

Conference Proceeding

Publication Date

9-29-2011

Publication Title

Proceedings of the American Control Conference

First Page

4867

Last Page

4871

Abstract

This paper focuses on the problem of Kalman filtering for Itô stochastic continuous-time systems with multiple delayed measurements, for which very little work exist to date. For an Itô-stochastic system, its stochastic differential and integral have a significant place and are different from other stochastic systems owing to the Wiener or the Brownian process. In this paper, an Itô stochastic continuous-time system with multiple delayed measurements is first reduced to a system with delay free measurements by applying the stochastic analysis and calculus of stochastic variables. Next, the Itô differentials for the optimal filter and its error variance are derived. Finally, through an illustrative example, the performance of the designed optimal filter is verified. © 2011 AACC American Automatic Control Council.

ISSN

07431619

ISBN

9781457700804

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