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Robust sampled-data implementation of PID controller
KTH, School of Electrical Engineering and Computer Science (EECS), Automatic Control.
Tel Aviv Univ, Tel Aviv, Israel..
2018 (English)In: 2018 IEEEĀ Conference on Decision and ControlĀ  (CDC), Institute of Electrical and Electronics Engineers (IEEE), 2018, p. 932-936, article id 8619030Conference paper, Published paper (Refereed)
Abstract [en]

We study a sampled-data implementation of the PID controller. Since the derivative is hard to measure directly, it is approximated using a finite difference giving rise to a delayed sampled-data controller. We suggest a novel method for the analysis of the resulting closed-loop system that allows to use only the last two measurements, while the existing results used a history of measurements. This method also leads to essentially larger sampling period. We show that, if the sampling period is small enough, then the performance of the closed-loop system under the sampled-data PID controller is preserved close to the one under the continuous-time PID controller. The maximum sampling period is obtained from LMIs derived using an appropriate Lyapunov-Krasovskii functional. These LMIs allow to consider systems with uncertain parameters. Finally, we develop an event-triggering mechanism that allows to reduce the amount of sampled control signals used for stabilization.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2018. p. 932-936, article id 8619030
Series
IEEE Conference on Decision and Control, ISSN 0743-1546
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-245103DOI: 10.1109/CDC.2018.8619030ISI: 000458114800132Scopus ID: 2-s2.0-85062169136ISBN: 978-1-5386-1395-5 (print)OAI: oai:DiVA.org:kth-245103DiVA, id: diva2:1294400
Conference
57th IEEE Conference on Decision and Control, CDC 2018; Centre of the Fontainebleau in Miami Beach Miami; United States; 17 December 2018 through 19 December 2018
Note

QC 20190307

Available from: 2019-03-07 Created: 2019-03-07 Last updated: 2019-03-07Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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Output format
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  • asciidoc
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