Open-loop resonant poles and zeros: Frequency and time domain implications for feedback systems

Title: Open-loop resonant poles and zeros: Frequency and time domain implications for feedback systems
Creator: Goodwin, Graham C.; Seron, Maria M.; Mirzaeva, Galina
Relation: ARC.DP190103307 http://purl.org/au-research/grants/arc/DP190103307
Relation: Automatica Vol. 133, Issue November 2021, no. 109887
Publisher Link: http://dx.doi.org/10.1016/j.automatica.2021.109887
Publisher: Elsevier
Resource Type: journal article
Date: 2021
Description: Open-loop poles on, or near, the imaginary axis in the complex plane are a common occurrence in feedback systems. They can occur as part of the model in systems containing lightly damped resonances or they can be deliberately introduced so as to ensure perfect tracking for sinusoidal or periodic signals. This paper establishes both time and frequency domain implications of such poles on system performance. Dual results for zeros on, or near, the imaginary axis are also discussed. Many practitioners are, at least heuristically, aware of the broad implications of these results but, to the best of the authors' knowledge, they have not previously been explicitly articulated nor quantified.
Subject: resonant poles and zeros; imaginary poles and zeros; sensitivity functions; waterbed effect
Identifier: http://hdl.handle.net/1959.13/1450621
Identifier: uon:43984
Identifier: ISSN:0005-1098
Language: eng
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