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Robust filtering for a class of discrete-time uncertain nonlinear systems: An H∞ approach

✍ Scribed by Lihua Xie; Carlos E. De Souza; Youyi Wang

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
739 KB
Volume
6
Category
Article
ISSN
1049-8923

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✦ Synopsis

This paper deals with the H, filtering problem for a class of discrete-time nonlinear systems with or without real time-varying parameter uncertainty and unknown initial state. For the case when there is no parametric uncertainty in the system, we are concerned with designing a nonlinear H, filter such that the induced I, norm of the mapping from the noise signal to the estimation error is within a specified bound. It is shown that this problem can be solved via one Riccati equation. We also consider the design of nonlinear filters which guarantee a prescribed H, performance in the presence of parametric uncertainties. In this situation, a solution is obtained in terms of two Riccati equations.

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