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Robust Filtering Based on Probabilistic Descriptions of Model Errors

Mikael Sternad and Anders Ahlén

2nd IFAC Workshop on System Structure and Control,
Prague, Czechoslovakia, September 3-5, 1992, pp 156-159.

In Postscript : compressed(gz) 67K , uncompressed 297K.
In Pdf 286K.


Abstract:
A new approach to robust estimation of signals and prediction of time-series is considered. Signal and system parameter deviations are represented as random variables, with known covariances. A robust design is obtained by minimizing the squared estimation error, averaged both with respect to model errors and noise.

A polynomial solution, based on averaged spectral factorizations and averaged Diophantine equations, is derived. The robust estimator is called a cautious Wiener filter. It turns out to be no more complicated to design than an ordinary Wiener filter.

Related publications:
Paper in Automatica 1993, with robust Wiener design and a feedforward design example.
Paper in IEEE Trans. AC 1995, on robust MIMO Wiener filters and feedforward controllers.
PhD Thesis by Kenth Öhrn May 1996.
Conference paper on the corresponding dual design of robust feedforward controllers.

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