Intermittent Redesign of Analog Controllers via the Youla Parameter

The paper studies digital redesign of linear time-invariant analog controllers under intermittent sampling. The sampling pattern is only assumed to be uniformly bounded, but otherwise irregular and unknown a priori. The contribution of the paper is twofold. First, it proposes a constructive algorith...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2017-04, Vol.62 (4), p.1838-1851
Main Author: Mirkin, Leonid
Format: Article
Language:English
Subjects:
Analog-digital conversion
Control systems
Controller parametrizations
Digital-analog conversion
H2 and H ∞ optimization
intermittent sampling
Kernel
Linear systems
sampled-data systems
Stability analysis
Time-varying systems
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Summary:The paper studies digital redesign of linear time-invariant analog controllers under intermittent sampling. The sampling pattern is only assumed to be uniformly bounded, but otherwise irregular and unknown a priori. The contribution of the paper is twofold. First, it proposes a constructive algorithm to redesign any analog stabilizing controller so that the closed-loop stability is preserved. Second, it is shown that when applied to (sub) optimal H 2 and H ∞ controllers, the algorithm produces (sub) optimal sampled-data solutions under any a priori unknown sampling pattern. The proposed solutions are analytic, computationally simple, implementable, and transparent. Transparency pays off in showing the optimality, under a fixed sampling density, of uniform sampling for both performance measures studied.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2016.2595104