Deadbeat control: A special inverse eigenvalue problem
type: Item
instance of: scholarly article
title: Deadbeat control: A special inverse eigenvalue problem
zbMATH Open document ID: 0549.93019
DOI: 10.1007/BF01934924
published in: BIT
publication date: 1984-01-01T00:00:00Z
review text: An improvement of the method for synthesis of linear control systems with desired equivalent form [see \textit{M. M. Konstantinov}, \textit{P. Kh. Petkov} and the reviewer, J. Comput. Appl. Math. 6, 27-359 (1980; Zbl 0439.93020)] is developed for the ''deadbeat'' case, i.e. when the closed- loop system matrix has zero spectrum. As in the original method, the first step is the transformation of the system into orthogonal (quasi) canonical form. Then the gain matrix is obtained solving a sequence of least-squares problems which ensures a minimal norm solution. Although the method is not proved to be numerically stable, it seems that it has very good numerical properties.
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93B55
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93B50
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 3877004
zbMATH Keywords: deadbeat control
zbMATH Keywords: gain matrix
zbMATH Keywords: minimal norm solution
author: Paul van Dooren
describes a project that uses: Matlab
MaRDI profile type: Publication
cites work: On time optimal control of linear discrete-time systems by geometric approach
cites work: Deadbeat control and tracking of discrete-time systems
cites work: On the relationship between controllability indexes, Eigenvector assignment, and deadbeat control
cites work: Synthesis of linear systems with desired equivalent form
cites work: Q4401802
cites work: A general Riccati equation solution to the deadbeat control problem
cites work: An algorithm for pole assignment of time invariant linear systems†
cites work: Time optimal discrete regulator gains
cites work: Computation of minimal-order state-space realizations and observability indices using orthogonal transformations
cites work: Q4057472
cites work: Q3865919
cites work: The computation of Kronecker's canonical form of a singular pencil
cites work: The generalized eigenstructure problem in linear system theory
cites work: A Schur method for pole assignment
cites work: Q5674306
cites work: Q3859620
full work available at URL: https://doi.org/10.1007/bf01934924
OpenAlex ID: W2130590027
description: scientific article; zbMATH DE number 3877004