A New Approach to the Discretization of Continuous-Time Controllers

Juürg P. Keller; Brian D.O. Anderson

doi:10.1109/9.121622

A New Approach to the Discretization of Continuous-Time Controllers

Juürg P. Keller, Brian D.O. Anderson

School of Engineering

Research output: Contribution to journal › Article › peer-review

157 Citations (Scopus)

Abstract

A new method for discretizing continuous-time controllers is derived, using principles of controller approximation [1]. 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.

Original language	English
Pages (from-to)	214-223
Number of pages	10
Journal	IEEE Transactions on Automatic Control
Volume	37
Issue number	2
DOIs	https://doi.org/10.1109/9.121622
Publication status	Published - Feb 1992

Access to Document

10.1109/9.121622

Cite this

@article{9b28f69406484d1ab0bee21e84a229a2,

title = "A New Approach to the Discretization of Continuous-Time Controllers",

abstract = "A new method for discretizing continuous-time controllers is derived, using principles of controller approximation [1]. 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.",

author = "Keller, {Ju{\"u}rg P.} and Anderson, {Brian D.O.}",

year = "1992",

month = feb,

doi = "10.1109/9.121622",

language = "English",

volume = "37",

pages = "214--223",

journal = "IEEE Transactions on Automatic Control",

issn = "0018-9286",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "2",

}

TY - JOUR

T1 - A New Approach to the Discretization of Continuous-Time Controllers

AU - Keller, Juürg P.

AU - Anderson, Brian D.O.

PY - 1992/2

Y1 - 1992/2

N2 - A new method for discretizing continuous-time controllers is derived, using principles of controller approximation [1]. 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.

AB - A new method for discretizing continuous-time controllers is derived, using principles of controller approximation [1]. 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.

UR - http://www.scopus.com/inward/record.url?scp=0026818503&partnerID=8YFLogxK

U2 - 10.1109/9.121622

DO - 10.1109/9.121622

M3 - Article

AN - SCOPUS:0026818503

SN - 0018-9286

VL - 37

SP - 214

EP - 223

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 2

ER -

A New Approach to the Discretization of Continuous-Time Controllers

Abstract

Access to Document

Other files and links

Cite this