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RESEARCH PAPERS

Sampled-Data Optimal Design and Robust Stabilization

[+] Author and Article Information
Tongwen Chen

Department of Electrical and Computer Engineering, University of Calgary, Calgary, Alberta, Canada T2N 1N4

Bruce A. Francis

Department of Electrical Engineering, University of Toronto, Toronto, Ontario, Canada M5S 1A4

J. Dyn. Sys., Meas., Control 114(4), 538-543 (Dec 01, 1992) (6 pages) doi:10.1115/1.2897721 History: Received May 07, 1991; Revised September 09, 1991; Online March 17, 2008

Abstract

This paper considers sampled-data control of time-delay systems. First we show that under a certain nonpathological sampling condition, a sampled-data system is internally stable in continuous time if and only if the corresponding discretized system is stable in discrete time. Based on this, we then study two sampled-data design problems for (unstable) time-delay systems: ℋ2 -optimal disturbance attenuation and robust stabilization. In both cases, the sampled-data problem can be recast via operator methods as exactly a discrete-time problem and hence be solved using known techniques.

Copyright © 1992 by The American Society of Mechanical Engineers
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