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

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64 Citaties (Scopus)
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Uittreksel

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.

Originele taal-2Engels
TitelHSCC'10 - Proceedings of the 13th ACM International Conference on Hybrid Systems
SubtitelComputation and Control
UitgeverijAssociation for Computing Machinery, Inc
Pagina's181-190
Aantal pagina's10
ISBN van geprinte versie9781605589558
DOI's
StatusGepubliceerd - 8 jun 2010
Evenement13th ACM International Conference on Hybrid Systems: Computation and Control, HSCC'10 - Stockholm, Zweden
Duur: 12 apr 201015 apr 2010

Congres

Congres13th ACM International Conference on Hybrid Systems: Computation and Control, HSCC'10
LandZweden
StadStockholm
Periode12/04/1015/04/10

Vingerafdruk

Networked control systems
Packet loss
Linear matrix inequalities
Telecommunication networks
Sampling
Defects
Controllers

Citeer dit

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

HSCC'10 - Proceedings of the 13th ACM International Conference on Hybrid Systems: Computation and Control. Association for Computing Machinery, Inc, 2010. blz. 181-190.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

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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

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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.

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Heemels WPMH, Van De Wouw N, Gielen RH, Donkers MCF, Hetel L, Olaru S et al. 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. 2010. blz. 181-190 https://doi.org/10.1145/1755952.1755979