Structural state space sensitivity in linear systems
type: Item
instance of: scholarly article
title: Structural state space sensitivity in linear systems
zbMATH Open document ID: 0605.93018
DOI: 10.1016/0167-6911(86)90043-5
author: Darrell Williamson
published in: Systems \& Control Letters
publication date: 1986-01-01T00:00:00Z
review text: The concept of input balanced realization of a given matrix transfer function is applied here to find the particular minimal state space realization that minimizes the output noise gain subject to a \(\ell_ 2\)-scaling constraint. The sensitivity measure is new in the respect that it is defined by means of transformation independent noise. In practical terms this corresponds to e.g. roundoff noise in digital filtering. The optimum solution, known in the case of no structural constraints, is here derived by means of an initial balanced realization. Furthermore, the optimum is found under some structural constraints: a state covariance decoupling and a q-markov matching structure.
Mathematics Subject Classification ID: 93B35
Mathematics Subject Classification ID: 93B20
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93B15
Mathematics Subject Classification ID: 93E11
zbMATH DE Number: 3978918
zbMATH Keywords: input balanced realization
zbMATH Keywords: minimal state space realization
zbMATH Keywords: noise gain
zbMATH Keywords: sensitivity measure
zbMATH Keywords: digital filtering
zbMATH Keywords: structural constraints
MaRDI profile type: Publication
full work available at URL: 0167-6911(86)90043-5
OpenAlex ID: W2026163574
cites work: Q5619190
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description: scientific article; zbMATH DE number 3978918