A frequency-time domain stability criterion for sampled-data systems

Author

Shea, Richard P O ; Younis, Mohamed I.

Author_Institution

US Steel Applied Research Laboratories, Monroeville, PA, USA

Volume

Issue

fYear

1967

fDate

12/1/1967 12:00:00 AM

Firstpage

719

Lastpage

724

Abstract

An improved sufficient condition developed for the asymptotic stability of a sampled-data system having a single monotonic nonlinearity, with a slope in the sector $(0, k_{2})$ and a pulse transfer function $G^{\\ast }(z)$ , is $\\Re [(1+X^{\\ast }(z)+Y^{\\ast }(z))(G^{\\ast }(z)+I/k_{2})]\\geq 0$ for $z$ on the unit circle, where $x(i) \\leq 0$ for $i< 0$ and $x(i)=0$ for $i> 0, y(i) \\leq 0$ for $i\\geq 0$ and $y(i)=0$ for $i< 0$ , and $\\Sigma \\min{i=-\\infty }\\max {+\\infty } |x(i) + y(i)| < 1$ . An improved frequency domain condition is also presented for the case of the nonlinearity being odd as well as monotonic.

Keywords

Asymptotic stability; Discrete-time systems; Asymptotic stability; Continuous time systems; Control systems; Frequency domain analysis; Poles and zeros; Sampling methods; Stability criteria; Steel; Sufficient conditions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.1967.1098747

Filename

1098747

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=795891