Comparison of overapproximation methods for stability analysis of networked control systems

W. P.M.H. Heemels; Nathan Van De Wouw; Rob H. Gielen; M. C.F. Donkers; Laurentiu Hetel; Sorin Olaru; Mircea Lazar; Jamal Daafouz; Silviu Niculescu

doi:10.1145/1755952.1755979

Comparison of overapproximation methods for stability analysis of networked control systems

W. P.M.H. Heemels
, Nathan Van De Wouw
, Rob H. Gielen
, M. C.F. Donkers
, Laurentiu Hetel
, Sorin Olaru
, Mircea Lazar
, Jamal Daafouz
, Silviu Niculescu

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

88 Citations (Scopus)

2 Downloads (Pure)

Abstract

The presence of a communication network in a control loop induces many imperfections such as varying transmission delays, varying sampling/transmission intervals and packet loss, which can degrade the control performance significantly and can even lead to instability. Various techniques have been proposed in the literature for stability analysis and controller design for these so-called networked control systems (NCSs). The goal of this paper is to survey a particular class of techniques using discrete-time models that are based on polytopic overapproximations of the uncertain NCS model and lead to stability conditions in terms of linear matrix inequalities (LMIs). We discuss the advantages and disadvantages of the existing techniques in both qualitative and quantitative manners. In particular, we apply all methods to a benchmark example providing a numerical comparison of the methods with respect to conservatism as well as numerical complexity.

Original language	English
Title of host publication	HSCC'10 - Proceedings of the 13th ACM International Conference on Hybrid Systems
Subtitle of host publication	Computation and Control
Publisher	Association for Computing Machinery, Inc.
Pages	181-190
Number of pages	10
ISBN (Print)	9781605589558
DOIs	https://doi.org/10.1145/1755952.1755979
Publication status	Published - 8 Jun 2010
Event	13th ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2010 - Stockholm, Sweden Duration: 12 Apr 2010 → 15 Apr 2010

Conference

Conference	13th ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2010
Country/Territory	Sweden
City	Stockholm
Period	12/04/10 → 15/04/10

Keywords

Communication delays
LMI
Networked control systems
Polytopic systems
Stability

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10.1145/1755952.1755979

Cite this

Heemels, W. P. M. H., Van De Wouw, N., Gielen, R. H., Donkers, M. C. F., Hetel, L., Olaru, S., Lazar, M., Daafouz, J., & Niculescu, S. (2010). Comparison of overapproximation methods for stability analysis of networked control systems. In HSCC'10 - Proceedings of the 13th ACM International Conference on Hybrid Systems: Computation and Control (pp. 181-190). Association for Computing Machinery, Inc.. https://doi.org/10.1145/1755952.1755979

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title = "Comparison of overapproximation methods for stability analysis of networked control systems",

abstract = "The presence of a communication network in a control loop induces many imperfections such as varying transmission delays, varying sampling/transmission intervals and packet loss, which can degrade the control performance significantly and can even lead to instability. Various techniques have been proposed in the literature for stability analysis and controller design for these so-called networked control systems (NCSs). The goal of this paper is to survey a particular class of techniques using discrete-time models that are based on polytopic overapproximations of the uncertain NCS model and lead to stability conditions in terms of linear matrix inequalities (LMIs). We discuss the advantages and disadvantages of the existing techniques in both qualitative and quantitative manners. In particular, we apply all methods to a benchmark example providing a numerical comparison of the methods with respect to conservatism as well as numerical complexity.",

keywords = "Communication delays, LMI, Networked control systems, Polytopic systems, Stability",

author = "Heemels, \{W. P.M.H.\} and \{Van De Wouw\}, Nathan and Gielen, \{Rob H.\} and Donkers, \{M. C.F.\} and Laurentiu Hetel and Sorin Olaru and Mircea Lazar and Jamal Daafouz and Silviu Niculescu",

year = "2010",

month = jun,

day = "8",

doi = "10.1145/1755952.1755979",

language = "English",

isbn = "9781605589558",

pages = "181--190",

booktitle = "HSCC'10 - Proceedings of the 13th ACM International Conference on Hybrid Systems",

publisher = "Association for Computing Machinery, Inc.",

address = "United States",

note = "13th ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2010 ; Conference date: 12-04-2010 Through 15-04-2010",

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Heemels, WPMH , Van De Wouw, N, Gielen, RH, Donkers, MCF, Hetel, L, Olaru, S, Lazar, M, Daafouz, J & Niculescu, S 2010, Comparison of overapproximation methods for stability analysis of networked control systems. in HSCC'10 - Proceedings of the 13th ACM International Conference on Hybrid Systems: Computation and Control. Association for Computing Machinery, Inc., pp. 181-190, 13th ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2010, Stockholm, Sweden, 12/04/10. https://doi.org/10.1145/1755952.1755979

Comparison of overapproximation methods for stability analysis of networked control systems. / Heemels, W. P.M.H.; Van De Wouw, Nathan; Gielen, Rob H. et al.
HSCC'10 - Proceedings of the 13th ACM International Conference on Hybrid Systems: Computation and Control. Association for Computing Machinery, Inc., 2010. p. 181-190.

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

TY - GEN

T1 - Comparison of overapproximation methods for stability analysis of networked control systems

AU - Heemels, W. P.M.H.

AU - Van De Wouw, Nathan

AU - Gielen, Rob H.

AU - Donkers, M. C.F.

AU - Hetel, Laurentiu

AU - Olaru, Sorin

AU - Lazar, Mircea

AU - Daafouz, Jamal

AU - Niculescu, Silviu

PY - 2010/6/8

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N2 - The presence of a communication network in a control loop induces many imperfections such as varying transmission delays, varying sampling/transmission intervals and packet loss, which can degrade the control performance significantly and can even lead to instability. Various techniques have been proposed in the literature for stability analysis and controller design for these so-called networked control systems (NCSs). The goal of this paper is to survey a particular class of techniques using discrete-time models that are based on polytopic overapproximations of the uncertain NCS model and lead to stability conditions in terms of linear matrix inequalities (LMIs). We discuss the advantages and disadvantages of the existing techniques in both qualitative and quantitative manners. In particular, we apply all methods to a benchmark example providing a numerical comparison of the methods with respect to conservatism as well as numerical complexity.

AB - The presence of a communication network in a control loop induces many imperfections such as varying transmission delays, varying sampling/transmission intervals and packet loss, which can degrade the control performance significantly and can even lead to instability. Various techniques have been proposed in the literature for stability analysis and controller design for these so-called networked control systems (NCSs). The goal of this paper is to survey a particular class of techniques using discrete-time models that are based on polytopic overapproximations of the uncertain NCS model and lead to stability conditions in terms of linear matrix inequalities (LMIs). We discuss the advantages and disadvantages of the existing techniques in both qualitative and quantitative manners. In particular, we apply all methods to a benchmark example providing a numerical comparison of the methods with respect to conservatism as well as numerical complexity.

KW - Communication delays

KW - LMI

KW - Networked control systems

KW - Polytopic systems

KW - Stability

UR - https://www.scopus.com/pages/publications/77953072330

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M3 - Conference contribution

SN - 9781605589558

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BT - HSCC'10 - Proceedings of the 13th ACM International Conference on Hybrid Systems

PB - Association for Computing Machinery, Inc.

T2 - 13th ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2010

Y2 - 12 April 2010 through 15 April 2010

ER -

Comparison of overapproximation methods for stability analysis of networked control systems

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