A new approach to the discretization of continuous-time controllers

Author

Keller, Jurg P. ; Anderson, Brian D O

Author_Institution

Dept. of Syst. Eng., Australian Nat. Univ., Canberra, ACT, Australia

Volume

37

Issue

2

fYear

1992

fDate

2/1/1992 12:00:00 AM

Firstpage

214

Lastpage

223

Abstract

A new method for discretizing continuous-time controllers is derived, using principles of controller approximation. It focuses on the closed-loop use of the discrete-time controller. The resulting approximation criterion is a measure for stability of the control system, provides an upper bound on the sampling time for which stability can be guaranteed, and because it is based on continuous-time controller approximation it indicates the cost of discretization in terms of performance degradation. The discrete-time controller is obtained through minimization of this criterion, which can be performed with standard software used in H_∞ controller design

Keywords

closed loop systems; discrete time systems; stability; H_∞ controller; approximation criterion; closed-loop; continuous-time controllers; controller approximation; discrete-time controller; discretization; performance degradation; stability; Bandwidth; Control systems; Costs; Degradation; Sampling methods; Software performance; Software standards; Stability criteria; Time measurement; Upper bound;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.121622

Filename

121622