A numerical method for deadbeat control of generalized state-space systems
type: Item
instance of: scholarly article
title: A numerical method for deadbeat control of generalized state-space systems
zbMATH Open document ID: 0652.93022
DOI: 10.1016/0167-6911(88)90011-4
author: Th. Beelen
author: Paul van Dooren
published in: Systems \& Control Letters
publication date: 1988-01-01T00:00:00Z
review text: The synthesis method for linear control systems with desired equivalent form [see \textit{M. M. Konstantinov}, \textit{P. Kh. Petkov} and the reviewer, J. Comput. Appl. Math. 6, 27-35 (1980; Zbl 0439.93020)] is extended to the generalized systems \(Ex_{i+1}=Ax_ i+Bu_ i\); \(x_ i\in {\mathbb{R}}\) \(n,u_ i\in {\mathbb{R}}^ m,\) rank E\(=n\), with desired zero spectrum of the closed-loop matrix pencil \(sE-(A+BK)\), \(u_ i=Kx_ i\). The method does not require the inversion of E and has good numerical behaviour.
Mathematics Subject Classification ID: 93B55
Mathematics Subject Classification ID: 34A99
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93B50
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 4064849
zbMATH Keywords: synthesis method
zbMATH Keywords: linear control systems
zbMATH Keywords: generalized systems
zbMATH Keywords: time-invariant
reviewed by: Nicolai D. Christov
MaRDI profile type: Publication
full work available at URL: 0167-6911(88)90011-4
OpenAlex ID: W1978134215
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description: scientific article; zbMATH DE number 4064849