The Equivalence of Model-Following Systems Designed in the Time Domain and Frequency Domain

Yen Ting Hsu, Te Ping Tsai, Yau Tarng Juang

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

There are two approaches on 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. Basing 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. One example is used to illustrate the results.

Original languageEnglish
Pages (from-to)1722-1726
Number of pages5
JournalIEEE Transactions on Automatic Control
Volume39
Issue number8
DOIs
StatePublished - Aug 1994

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