Robust observers for systems with parameters
type: Item
instance of: scholarly article
title: Robust observers for systems with parameters
zbMATH Open document ID: 0609.93008
DOI: 10.1016/0167-6911(86)90057-5
author: Theodore E. Djaferis
published in: Systems \& Control Letters
publication date: 1986-01-01T00:00:00Z
review text: This paper discusses a parameter independent observer, that is a robust observer. A frequency domain approach is employed, so the argument is closely related to Diophantine equations. At first, the definition of the robust observer is given. An observer is said robust if for each initial plant state \(x_ 0\), initial observer state \(z_ 0\) and every input u(t), each of the matrices from \(x_ 0\), \(z_ 0\), and u(s) to error is stable and proper. It is explained that if appropriate solutions to the augmented Diophantine equation exist, then robust observers can exist as well. A sufficient condition for the existence of robust observers is given in Theorem 1. The condition is stated in terms of a rank condition. A class of systems for which robust observers can be generically constructed is specified in Theorem 2. Finally, a robust regulator (pole assignment) using a robust observer is discussed. A class of systems for which robust regulators can be generically constructed is specified in Theorem 3. An example for a robust regulator is presented.
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 11D61
Mathematics Subject Classification ID: 93B35
Mathematics Subject Classification ID: 93B55
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C35
zbMATH DE Number: 3987124
zbMATH Keywords: robust observer
zbMATH Keywords: frequency domain approach
zbMATH Keywords: Diophantine equations
zbMATH Keywords: pole assignment
zbMATH Keywords: robust regulators
reviewed by: Kunihiko Ichikawa
MaRDI profile type: Publication
full work available at URL: 0167-6911(86)90057-5
OpenAlex ID: W2033458861
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description: scientific article; zbMATH DE number 3987124