Dynamic programming formulation of periodic event-triggered control : performance guarantees and co-design

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Abstract

While potential benefits of choosing the transmissions times in a networked control system based on state or event information have been advocated in the literature, few general methods are available that guarantee closed-loop improvements over traditional periodic transmission strategies. In this paper, we propose event-triggered controllers that guarantee better quadratic discounted cost performance than periodic control strategies using the same average transmission rate. Moreover, we show that the performance of a method in the line of previous Lyapunov based approaches is within a multiplicative factor of periodic control performance, while using less transmissions. Our approach is based on a dynamic programming formulation for the co-design problem of choosing both transmission decisions and control inputs in the context of periodic event-triggered control for linear systems. A numerical example illustrates the advantages of the proposed method over traditional periodic control.
Original languageEnglish
Title of host publicationProceedings of the 51st IEEE Conference on Decision and Control (CDC 2012), 10-13 December 2012, Maui, Hawaii
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages7212-7217
ISBN (Print)978-1-4673-2065-8
DOIs
Publication statusPublished - 2012

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