The equivalence of model-following systems designed in the time domain and frequency domain

Author

Hsu, Yen-Ting ; Tsai, Te-Ping ; Juang, Yau-Tarng

Author_Institution

Dept. of Electr. Eng., Nat. Central Univ., Chung-Li, Taiwan

Volume

39

Issue

8

fYear

1994

fDate

8/1/1994 12:00:00 AM

Firstpage

1722

Lastpage

1726

Abstract

There are two approaches to the design of optimal model-following systems. One is in the time domain (modern synthesis), and the other is in the frequency domain (classical synthesis). In this paper, an equality is derived from the expanded Riccati equation. This equality represents the relation among the input signal, reference signal, and reference model. Together with the return difference equality, the equivalence of these two approaches is discussed. Based on this equivalence, an optimal model-following system can either be designed by the modern synthesis approach or the classical synthesis approach. For clarity and simplicity, only single-input/single-output systems are considered. An example is used to illustrate the results

Keywords

control system synthesis; frequency-domain synthesis; optimal systems; time-domain synthesis; classical synthesis; expanded Riccati equation; frequency domain; input signal; modern synthesis; optimal model-following systems; reference model; reference signal; return difference equality; single-input/single-output systems; time domain; Adaptive control; Adaptive systems; Automatic control; Control system synthesis; Frequency domain analysis; Modems; Programmable control; Riccati equations; Signal synthesis; Time domain analysis;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.310061

Filename

310061