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Practical guidelines for PD and PI delay based controllers

Abstract : This paper focuses on the design of two different delay-based control schemes. These two low-complexity controllers are proposed as alternatives for the classical PD and PI controllers. More precisely, first, we study a PD controller using the Euler approach for approximating the derivative action. Second, we analyze the implications of imposing a delay in the error signal on the integral action of the PI controller for closed-loop response manipulation purposes. Our main contribution lies in proposing some practical guidelines for the tuning of these delayed control schemes such that the closed-loop system is stable. To this end, the criteria developed in this work makes use of the well-known D—partition method, with the difference that we propose a simple criterion to detect stabilizing regions, avoiding in this way the crossing direction analysis. Several numerical examples illustrate the effectiveness of the proposed approach.
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Conference papers
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https://hal-centralesupelec.archives-ouvertes.fr/hal-02329128
Contributor : Delphine Le Piolet <>
Submitted on : Wednesday, October 23, 2019 - 2:21:58 PM
Last modification on : Tuesday, June 30, 2020 - 2:12:10 PM

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José-Enrique Hernández-Díez, César Fernando Méndez Barrios, Silviu-Iulian Niculescu. Practical guidelines for PD and PI delay based controllers. 7th Symposium on System Structure and Control (SSSC) and 15th workshop on time-delay systems (TDS), Islam Boussaada; Y Bouzidi; A Quadrat, Sep 2019, Sinaia, Romania. ⟨10.1016/j.ifacol.2019.12.207⟩. ⟨hal-02329128⟩

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