State-feedback implementation of cascade compensators
type: Item
instance of: scholarly article
title: State-feedback implementation of cascade compensators
zbMATH Open document ID: 0616.93006
DOI: 10.1016/0167-6911(86)90031-9
author: A. Isidori
author: A. Stephen Morse
published in: Systems \& Control Letters
publication date: 1986-01-01T00:00:00Z
review text: For a general dynamical system \(\Sigma\) we say that a cascade compensator \({\bar \Sigma}\) can be implemented with state feedback if there exists a state feedback law F such that the input-output behavior of the closed- loop system \(\Sigma_ F\) is the same as the input-output behavior of the cascade connection of \(\Sigma\) with \({\bar \Sigma}\). The purpose of this paper is to characterize those cascade compensators for \(\Sigma\) which can be implemented with state feedback. For a controllable, observable linear system \(\Sigma\) with transfer matrix \(T_{\Sigma}\) it is shown hat an invertible linear cascade compensator with transfer matrix \(\bar T\) can be implemented with state feedback if and only if the McMillan degree of \(T_{\Sigma}\) is equal to the McMillan degree of \([T_{\Sigma},\bar T^{-1}]^ t\).
Mathematics Subject Classification ID: 93A99
Mathematics Subject Classification ID: 93B15
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93B25
zbMATH DE Number: 3999744
zbMATH Keywords: cascade compensator
zbMATH Keywords: state feedback
MaRDI profile type: Publication
full work available at URL: 0167-6911(86)90031-9
OpenAlex ID: W2126198989
cites work: Linear Feedback—An Algebraic Approach
cites work: Q4111364
description: scientific article; zbMATH DE number 3999744