Stability criterion for a sampled-data system with digital controller

Author

Tokarzewski, Jerzy ; Olbrot, Andrzej W.

Author_Institution

Wydz, Elektrotech. i Autom., Politech. Swietokrzyska, Poland

fYear

1992

fDate

1992

Firstpage

1095

Abstract

A sampled-data system consisting of a continuous LTI (linear time-invariant) plant and a digital implementation of an analog LTI strictly proper controller with a strictly proper continous-time prefilter in the output feedback loop is considered. A quantitative sufficient stability condition is formulated. This condition shows how to determine the interval of the sampling frequency inside of which asymptotic stability of the continuous-time closed-loop counterpart of the sampled-data system implies exponential stability of the hybrid system and therefore I_p-stability of the latter

Keywords

digital control; feedback; sampled data systems; stability criteria; digital controller; exponential stability; linear time invariant systems; output feedback loop; quantitative sufficient stability condition; sampled-data system; sampling frequency; Asymptotic stability; Automatic control; Control systems; Digital control; Filters; Frequency; Linear feedback control systems; Linear matrix inequalities; Output feedback; Sampling methods; Stability criteria;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1992., Proceedings of the 31st IEEE Conference on

Conference_Location

Tucson, AZ

Print_ISBN

0-7803-0872-7

Type

conf

DOI

10.1109/CDC.1992.371546

Filename

371546