Computation of stabilizing lag/lead controller parameters.
type: Item
instance of: scholarly article
title: Computation of stabilizing lag/lead controller parameters.
zbMATH Open document ID: 1065.93021
DOI: 10.1016/S0045-7906(03)00012-0
author: Nusret Tan
published in: Computers and Electrical Engineering
publication date: 2004-03-14T00:00:00Z
review text: The paper focuses on the design of lag/lead controllers for scalar linear plants. Similarly to PID controllers, designing lag/lead controllers amounts to finding three real scalars such that a polynomial whose coefficients depend multilinearly on these scalars has its roots in the open left half-plane. The authors are willing to extend previous results of Ho, Datta and Bhattacharyya, first published in 1995, on PID controller design. These results use the Hermite-Biehler theorem. For PID design, the main achievement of Ho, Datta and Bhattacharyya was to show that, for a fixed proportional gain, the set of stabilizing integral and derivative gains is a polytope that can be built easily. The design then boiled down to sweeping over only one parameter, instead of three. Deceptively, the extension proposed in the paper is missing an explicit characterization of stabilization of lag/lead controller parameters which overcomes sweeping over the three parameters.
reviewed by: Didier Henrion
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93B51
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 2055613
zbMATH Keywords: linear systems
zbMATH Keywords: feedback design
zbMATH Keywords: Hermite-Biehler theorem
zbMATH Keywords: stabilization
zbMATH Keywords: interval systems
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2055613