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International Journal of Control
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type: Generically Dependent Continuant
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publication venue for: Proportional-delayed controllers design for LTI-systems: a geometric approach
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Generically Dependent Continuant
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RDF description of Proportional-delayed controllers design for LTI-systems: a geometric approach - http://orbis.uaslp.mx/vivo/individual/scopus5499
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date: 2026-08-28T02:11:32
publisher: vivo
type: Document

Article
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Proportional-delayed controllers design for LTI-systems: a geometric approach
related by: authorship_34166
date time value: article date 5500
e iscopus: 2-s2.0-85015192161
related by: authorship_34167
type: Information Content Entity
volume: 91
freetext keyword: fragility; proportional-delayed controllers; stability; Time-delay systems Closed loop systems; Controllers; Convergence of numerical methods; Decay (organic); Delay control systems; Design; Invariance; Linear systems; Nonlinear control systems; System stability; Time delay; Time varying control systems; Experimental set up; Exponential decay rates; fragility; Geometric approaches; Linear time invariant systems; Nonfragile controllers; Single input single output; Time-delay systems; Linear control systems
estado: published
most specific type: Document
page end: 925
most specific type: Article
type: Article
type: Continuant
issue: 4
crisid: 5500
type: Thing
type: Generically Dependent Continuant
has publication venue: International Journal of Control
abstract: This paper focuses on the design of P-δ controllers for single-input-single-output linear time-invariant systems. The basis of this work is a geometric approach allowing to partitioning the parameter space in regions with constant number of unstable roots. This methodology defines the hyper-planes separating the aforementioned regions and characterises the way in which the number of unstable roots changes when crossing such a hyper-plane. The main contribution of the paper is that it provides an explicit tool to find P-δ gains ensuring the stability of the closed-loop system. In addition, the proposed methodology allows to design a non-fragile controller with a desired exponential decay rate σ. Several numerical examples illustrate the results and a haptic experimental set-up shows the effectiveness of P-δ controllers. © 2017 Informa UK Limited, trading as Taylor %26 Francis Group.
type: Document
related by: authorship_34163
abstract: This paper focuses on the design of P-δ controllers for single-input-single-output linear time-invariant systems. The basis of this work is a geometric approach allowing to partitioning the parameter space in regions with constant number of unstable roots. This methodology defines the hyper-planes separating the aforementioned regions and characterises the way in which the number of unstable roots changes when crossing such a hyper-plane. The main contribution of the paper is that it provides an explicit tool to find P-δ gains ensuring the stability of the closed-loop system. In addition, the proposed methodology allows to design a non-fragile controller with a desired exponential decay rate σ. Several numerical examples illustrate the results and a haptic experimental set-up shows the effectiveness of P-δ controllers. © 2017 Informa UK Limited, trading as Taylor & Francis Group.
page start: 907
type: Entity
related by: authorship_34164
related by: authorship_34165
origen: scopus
doi: 10.1080/00207179.2017.1299943

Information Content Entity
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