Decoupling in the design and synthesis of singular systems
type: Item
instance of: scholarly article
title: Decoupling in the design and synthesis of singular systems
zbMATH Open document ID: 0587.93017
DOI: 10.1016/0005-1098(86)90088-9
author: M. A. Christodoulou
published in: Automatica
publication date: 1986-01-01T00:00:00Z
review text: This paper presents necessary and sufficient conditions for decoupling of linear, time-invariant, singular systems. The control law applied is of constant-ratio proportional and derivative state feedback type. It is shown that such a control law presents an invertible transformation which transforms the singular closed loop system to a regular one. In the frequency domain this gives a duality property between regular and generalized transfer functions. Given a system that satisfies the necessary and sufficient conditions, the class of all feedback matrices which decouple the system is characterized. Finally, a synthesis technique is developed for the realization of desired closed loop pole- zero configurations.
Mathematics Subject Classification ID: 93B50
Mathematics Subject Classification ID: 34A99
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93B55
Mathematics Subject Classification ID: 93C35
Mathematics Subject Classification ID: 93C99
zbMATH DE Number: 3943643
zbMATH Keywords: necessary and sufficient conditions
zbMATH Keywords: decoupling
zbMATH Keywords: linear, time-invariant, singular systems
zbMATH Keywords: state feedback
zbMATH Keywords: synthesis technique
MaRDI profile type: Publication
full work available at URL: 0005-1098(86)90088-9
OpenAlex ID: W2064381552
cites work: Q3852479
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description: scientific article; zbMATH DE number 3943643