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Guaranteed stability with subspace methods

Maciejowski J.M.

Systems and Control Letters, Volume 26, Pages 153-156, 1995

Abstract

We show how stability of models can be guaranteed when using the class of identification algorithms which have become known as `subspace methods'. In many of these methods the `A' matrix is obtained (or can be obtained) as the product of a shifted matrix with a pseudo-inverse. We show that whenever the shifted matrix is formed by introducing one block of zeros in the appropriate position, then a stable model results. The cost of this is some (possibly large) distortion of the results, but in some applications that is outweighed by the advantage of guaranteed stability.

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@Article{,
author = {Maciejowski J.M.},
journal = {Systems and Control Letters},
title = {Guaranteed stability with subspace methods},
year = {1995},
pages = {153-156},
volume = {26}
}