Why do stabilizing controllers stabilize?
type: Item
instance of: scholarly article
title: Why do stabilizing controllers stabilize?
zbMATH Open document ID: 0824.93048
DOI: 10.1016/0005-1098(95)98493-P
author: Margreet Kuijper
published in: Automatica
publication date: 1995-11-09T00:00:00Z
review text: The paper entitled exaggerately ``Why do stabilizing controllers stabilize'' refers to the very popular behavioral approach in systems sciences. Recently, numerous trials to adopt this methodology in control appeared. The author considers feedback interconnections where all plant variables are available to the controller. Her aim is to find an appropriate controller for a given plant. The behavioral approach is employed as a general alternative way when the classical framework can not be used. The main definitions are presented and the problem is solved by using polynomial matrix theory. However, it should be noted that the paper is very hard to read. This is due to the concise argumentation without additional explanations. One example does not help very much. It seems that the paper is meant mainly for people familiar with this approach. Moreover, it seems that the main definition of systems interconnections, taken from Willems, does not cover all possibilities. For example, considering feedback interconnection from the circuit theoretic point of view, we can obtain non-stable trajectories in the positive feedback of stable circuits. Hence, we can obtain in the interconnected system new trajectories forbidden for both subsystems considered separately.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93A10
Mathematics Subject Classification ID: 93C35
zbMATH DE Number: 768878
zbMATH Keywords: stabilization
zbMATH Keywords: behavioral approach
zbMATH Keywords: interconnections
reviewed by: Krzysztof Gałkowski
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 768878