Performance analysis and controller improvement for linear systems with (m,k)-firm data losses

E.P. van Horssen, A.R. Baghbanbehrouzian, D. Goswami, D. Antunes, T. Basten, W.P.M.H. Heemels

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Abstract

This paper describes methods for the analysis and design of control applications with real-time constraints, which allow data losses in the sensing-to-actuation path governed by the property of (m, k)-firmness. An automaton consisting of open- and closed-loop dynamics and a graph representing (m, k)-firmness defines the overall system behavior as a constrained switched linear system. The worst-case quadratic cost is analyzed for a given optimal linear quadratic regulator design. A simple analytic upper bounding method is compared to a method based on solving a (computationally more complex) semidefinite program. Furthermore, control design methods for performance improvement for the worst case are presented. A known LMI-based method is compared to an iterative controller improvement scheme inspired by ideas from dynamic programming. Conservatism and computational effort of the methods are discussed. A numerical example is used for illustration.
Original languageEnglish
Title of host publication2016 European Control Conference, ECC 2016
PublisherInstitute of Electrical and Electronics Engineers
Pages2571-2577
Number of pages7
ISBN (Electronic)978-1-5090-2591-6
DOIs
Publication statusPublished - 6 Jan 2017
Event15th European Control Conference (ECC 2016) - Aalborg, Denmark
Duration: 29 Jun 20161 Jul 2016
Conference number: 15
http://www.ecc16.eu/index.shtml
http://www.ecc16.eu/index.shtml

Conference

Conference15th European Control Conference (ECC 2016)
Abbreviated titleECC 2016
CountryDenmark
CityAalborg
Period29/06/161/07/16
Internet address

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Cite this

Horssen, E. P. V., Baghbanbehrouzian, A. R., Goswami, D., Antunes, D., Basten, T., & Heemels, W. P. M. H. (2017). Performance analysis and controller improvement for linear systems with (m,k)-firm data losses. In 2016 European Control Conference, ECC 2016 (pp. 2571-2577). [7810677] Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/ECC.2016.7810677