Digital redesign of analog controllers based on minimizing integral of squared errors

Digital redesign is to replace an existing well‐designed analog feedback controller by a digital one along with a sampler and a hold. In this paper, we present a digital redesign technique which takes into account both closed‐loop and intersample behaviour. More precisely, we give a numerical proced...

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Bibliographic Details
Published in:Optimal control applications & methods 2003-01, Vol.24 (1), p.1-22
Main Authors: Hwang, Chyi, Chang, Fang-Pi, Hwang, Jyh-Haur
Format: Article
Language:English
Subjects:
differential evolution
digital redesign
discrete-time systems
integral of squared error
sampled-data control
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Summary:Digital redesign is to replace an existing well‐designed analog feedback controller by a digital one along with a sampler and a hold. In this paper, we present a digital redesign technique which takes into account both closed‐loop and intersample behaviour. More precisely, we give a numerical procedure to optimally discretize an analog controller such that the integral of the squared error between the closed‐loop step responses of the analog and digital controlled systems is minimized. A parametric expression is derived for evaluating the integral performance index. With this expression, the optimal digital redesign problem becomes an optimal parameter selection problem which can be solved using existing optimal parameter search algorithms. Moreover, it allows one to obtain optimal reduced‐order digital controllers for sampled‐data control systems over a range of sampling periods. Copyright © 2003 John Wiley & Sons, Ltd.
ISSN:0143-2087
1099-1514
DOI:10.1002/oca.716