On a modification of the PID controller
type: Item
instance of: scholarly article
title: On a modification of the PID controller
zbMATH Open document ID: 0879.93040
DOI: 10.1023/A:1008202618580
published in: Dynamics and Control
publication date: 1997-08-07T00:00:00Z
review text: The paper considers the controlled system \[ x^{(n)}+ a_nx^{(n-1)}+ \cdots + a_2x' +a_1x =u(t) \] and the finite-memory controller \[ u= -c_1 \bigl(x(t) -x_d(t)\bigr)-c_2 \bigl(x'(t) -x_d'(t) \bigr)- c_3\int^t_{t- \sigma} \bigl(x (\tau)- x_d(\tau) \bigr)d \tau \] \(x_d(t)\) being the reference signal. This controller is shown to have several advantages (stability and robustness) with respect to the standard PID controller.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 1046295
zbMATH Keywords: linear systems
zbMATH Keywords: stability
zbMATH Keywords: finite-memory controller
zbMATH Keywords: robustness
zbMATH Keywords: PID controller
author: A. M. Formal'skij
reviewed by: Vladimir Răsvan
MaRDI profile type: Publication
full work available at URL: a:1008202618580
OpenAlex ID: W1588773661
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description: scientific article; zbMATH DE number 1046295