Exact Tuning of PID Controllers in Control Feedback Design

In this study, the authors introduce a range of techniques for the exact design of PID controllers for feedback control problems involving requirements on the steady-state performance and standard frequency-domain specifications on the stability margins and crossover frequencies. These techniques hi...

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Main Authors: Ntogramatzidis, Lorenzo, Ferrante, A.
Format: Journal Article
Published: The Institution of Engineering and Technology 2011
Online Access:http://hdl.handle.net/20.500.11937/11873
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author Ntogramatzidis, Lorenzo
Ferrante, A.
author_facet Ntogramatzidis, Lorenzo
Ferrante, A.
author_sort Ntogramatzidis, Lorenzo
building Curtin Institutional Repository
collection Online Access
description In this study, the authors introduce a range of techniques for the exact design of PID controllers for feedback control problems involving requirements on the steady-state performance and standard frequency-domain specifications on the stability margins and crossover frequencies. These techniques hinge on a set of simple closed-form formulae for the explicit computation of the parameters of the controller in finite terms as functions of the specifications, and therefore they eliminate the need for graphical, heuristic or trial-and-error procedures. The relevance of this approach is (i) theoretical, since a closed-form solution is provided for the design of PID-type controllers with standard frequency-domain specifications; (ii) computational, since the techniques presented here are readily implementable as software routines, for example, using MATLABĀ®; (iii) educational, because the synthesis of the controller reduces to a simple exercise on complex numbers that can be solved with pen, paper and a scientific calculator. These techniques also appear to be very convenient within the context of adaptive control and self-tuning strategies, where the controller parameters have to be calculated online. Furthermore, they can be easily combined with graphical and first/second-order plant approximation methods in the cases where the model of the system to be controlled is not known.
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spelling curtin-20.500.11937-118732017-09-13T16:03:14Z Exact Tuning of PID Controllers in Control Feedback Design Ntogramatzidis, Lorenzo Ferrante, A. In this study, the authors introduce a range of techniques for the exact design of PID controllers for feedback control problems involving requirements on the steady-state performance and standard frequency-domain specifications on the stability margins and crossover frequencies. These techniques hinge on a set of simple closed-form formulae for the explicit computation of the parameters of the controller in finite terms as functions of the specifications, and therefore they eliminate the need for graphical, heuristic or trial-and-error procedures. The relevance of this approach is (i) theoretical, since a closed-form solution is provided for the design of PID-type controllers with standard frequency-domain specifications; (ii) computational, since the techniques presented here are readily implementable as software routines, for example, using MATLABĀ®; (iii) educational, because the synthesis of the controller reduces to a simple exercise on complex numbers that can be solved with pen, paper and a scientific calculator. These techniques also appear to be very convenient within the context of adaptive control and self-tuning strategies, where the controller parameters have to be calculated online. Furthermore, they can be easily combined with graphical and first/second-order plant approximation methods in the cases where the model of the system to be controlled is not known. 2011 Journal Article http://hdl.handle.net/20.500.11937/11873 10.1049/iet-cta.2010.0239 The Institution of Engineering and Technology fulltext
spellingShingle Ntogramatzidis, Lorenzo
Ferrante, A.
Exact Tuning of PID Controllers in Control Feedback Design
title Exact Tuning of PID Controllers in Control Feedback Design
title_full Exact Tuning of PID Controllers in Control Feedback Design
title_fullStr Exact Tuning of PID Controllers in Control Feedback Design
title_full_unstemmed Exact Tuning of PID Controllers in Control Feedback Design
title_short Exact Tuning of PID Controllers in Control Feedback Design
title_sort exact tuning of pid controllers in control feedback design
url http://hdl.handle.net/20.500.11937/11873