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

doi:10.1109/ECC.2016.7810677

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

19 Citations (Scopus)

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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 language	English
Title of host publication	2016 European Control Conference, ECC 2016
Publisher	Institute of Electrical and Electronics Engineers
Pages	2571-2577
Number of pages	7
ISBN (Electronic)	978-1-5090-2591-6
DOIs	https://doi.org/10.1109/ECC.2016.7810677
Publication status	Published - 6 Jan 2017
Event	15th European Control Conference, ECC 2016 - Aalborg, Denmark, Aalborg, Denmark Duration: 29 Jun 2016 → 1 Jul 2016 Conference number: 15 http://www.ecc16.eu/index.shtml

Conference

Conference	15th European Control Conference, ECC 2016
Abbreviated title	ECC 2016
Country/Territory	Denmark
City	Aalborg
Period	29/06/16 → 1/07/16
Internet address	http://www.ecc16.eu/index.shtml

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10.1109/ECC.2016.7810677

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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

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

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.",

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Horssen, EPV, Baghbanbehrouzian, AR, Goswami, D , Antunes, D , Basten, T & Heemels, WPMH 2017, Performance analysis and controller improvement for linear systems with (m,k)-firm data losses. in 2016 European Control Conference, ECC 2016., 7810677, Institute of Electrical and Electronics Engineers, pp. 2571-2577, 15th European Control Conference, ECC 2016, Aalborg, Denmark, 29/06/16. https://doi.org/10.1109/ECC.2016.7810677

Performance analysis and controller improvement for linear systems with (m,k)-firm data losses. / Horssen, E.P. van; Baghbanbehrouzian, A.R.; Goswami, D. et al.
2016 European Control Conference, ECC 2016. Institute of Electrical and Electronics Engineers, 2017. p. 2571-2577 7810677.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AU - Horssen, E.P. van

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AU - Basten, T.

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AB - 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.

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

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