Gain optimization for distributed plants
type: Item
instance of: scholarly article
title: Gain optimization for distributed plants
zbMATH Open document ID: 0587.93022
DOI: 10.1016/0167-6911(86)90122-2
author: Allen Tannenbaum
author: Avraham Feintuch
published in: Systems \& Control Letters
publication date: 1986-01-01T00:00:00Z
review text: Let \(p_ k(s)\) be a continuously parametrised family of linear continuous-time, time-invariant, strictly proper plants, where the parameter k takes values in some compact set K. Consider the problem of designing a proper controller c(s) such that for each k in K the unity feedback system whose forward loop has transference \(c(s)p_ k(s)\) is internally asymptotically stable. For a general discussion of this problem see the second author's textbook [''Invariance and system theory: algebraic and geometric aspects'' (1981; Zbl 0496.93001)]. In the present paper the authors give an explicit solution to the above problem for the special case \(p_ k(s)=k p_ 0(s)\), where \(p_ 0\) is a fixed SISO plant and K is a compact real interval. For \(p_ 0\) finite- dimensional, a complete solution based on Nevanlinna-Pick interpolation techniques is already given in the above reference. In the present paper the authors show that these interpolation techniques extend to a large class of distributed parameter systems.
Mathematics Subject Classification ID: 93B35
Mathematics Subject Classification ID: 30E05
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 3943648
zbMATH Keywords: robustness
zbMATH Keywords: gain margin
zbMATH Keywords: Nevanlinna-Pick interpolation
zbMATH Keywords: distributed parameter systems
MaRDI profile type: Publication
full work available at URL: 0167-6911(86)90122-2
OpenAlex ID: W1980220228
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description: scientific article; zbMATH DE number 3943648