Stability analysis of networked control systems using a switched linear systems approach

M.C.F. Donkers; L.L. Hetel; W.P.M.H. Heemels; N. Wouw, van de; M. Steinbuch

doi:10.1007/978-3-642-00602-9_11

Stability analysis of networked control systems using a switched linear systems approach

M.C.F. Donkers, L.L. Hetel, W.P.M.H. Heemels, N. Wouw, van de, M. Steinbuch

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

53 Citations (Scopus)

Abstract

In this paper, we study the stability of Networked Control Systems (NCSs) that are subject to time-varying transmission intervals and communication constraints in the sense that, per transmission, onlyone node can access the network and send its information. The order in which nodes send their information is dictated by a network protocol, such as the well-known Round Robin (RR) or Try-Once-Discard(TOD) protocol. Focussing on linear plants and linear continuous-time or discrete-time controllers, we model the NCS with time-varying transmission intervals as a discrete-time switched linear uncertain system. We obtain bounds for the allowable range of transmission intervals in terms of both minimal and maximal allowable transmission intervals. Hereto, a new convex overapproximation of the uncertain switched system is proposed, using a polytopic system with norm-bounded uncertainty, and new stability results for this class of hybrid systems are developed. On the benchmark example of a batch reactor, we explicitly exploit the linearity of the system, leading to a significant reduction in conservatism with respect to the existing approaches.

Original language	English
Title of host publication	Hybrid Systems: Computation and Control : Proceedings of the 12th International Conference (HSCC 2009), April 13-15, 2009, San Francisco, CA, USA
Editors	R. Majumdar, P. Tabuada
Place of Publication	Berlin
Publisher	Springer
Pages	150-164
ISBN (Print)	978-3-642-00601-2
DOIs	https://doi.org/10.1007/978-3-642-00602-9_11
Publication status	Published - 2009
Event	12th International Conference on Hybrid Systems: Computation and Control (HSCC 2009) - San Francisco, United States Duration: 13 Apr 2009 → 15 Apr 2009 Conference number: 12

Publication series

Name	Lecture Notes in Computer Science
Volume	5469
ISSN (Print)	0302-9743

Conference

Conference	12th International Conference on Hybrid Systems: Computation and Control (HSCC 2009)
Abbreviated title	HSCC 2009
Country/Territory	United States
City	San Francisco
Period	13/04/09 → 15/04/09

Access to Document

10.1007/978-3-642-00602-9_11

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Donkers, M. C. F., Hetel, L. L., Heemels, W. P. M. H., Wouw, van de, N., & Steinbuch, M. (2009). Stability analysis of networked control systems using a switched linear systems approach. In R. Majumdar, & P. Tabuada (Eds.), Hybrid Systems: Computation and Control : Proceedings of the 12th International Conference (HSCC 2009), April 13-15, 2009, San Francisco, CA, USA (pp. 150-164). (Lecture Notes in Computer Science; Vol. 5469). Springer. https://doi.org/10.1007/978-3-642-00602-9_11

Donkers, M.C.F. ; Hetel, L.L. ; Heemels, W.P.M.H. et al. / Stability analysis of networked control systems using a switched linear systems approach. Hybrid Systems: Computation and Control : Proceedings of the 12th International Conference (HSCC 2009), April 13-15, 2009, San Francisco, CA, USA. editor / R. Majumdar ; P. Tabuada. Berlin : Springer, 2009. pp. 150-164 (Lecture Notes in Computer Science).

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title = "Stability analysis of networked control systems using a switched linear systems approach",

abstract = "In this paper, we study the stability of Networked Control Systems (NCSs) that are subject to time-varying transmission intervals and communication constraints in the sense that, per transmission, onlyone node can access the network and send its information. The order in which nodes send their information is dictated by a network protocol, such as the well-known Round Robin (RR) or Try-Once-Discard(TOD) protocol. Focussing on linear plants and linear continuous-time or discrete-time controllers, we model the NCS with time-varying transmission intervals as a discrete-time switched linear uncertain system. We obtain bounds for the allowable range of transmission intervals in terms of both minimal and maximal allowable transmission intervals. Hereto, a new convex overapproximation of the uncertain switched system is proposed, using a polytopic system with norm-bounded uncertainty, and new stability results for this class of hybrid systems are developed. On the benchmark example of a batch reactor, we explicitly exploit the linearity of the system, leading to a significant reduction in conservatism with respect to the existing approaches.",

author = "M.C.F. Donkers and L.L. Hetel and W.P.M.H. Heemels and {Wouw, van de}, N. and M. Steinbuch",

year = "2009",

doi = "10.1007/978-3-642-00602-9_11",

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booktitle = "Hybrid Systems: Computation and Control : Proceedings of the 12th International Conference (HSCC 2009), April 13-15, 2009, San Francisco, CA, USA",

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Donkers, MCF, Hetel, LL, Heemels, WPMH , Wouw, van de, N & Steinbuch, M 2009, Stability analysis of networked control systems using a switched linear systems approach. in R Majumdar & P Tabuada (eds), Hybrid Systems: Computation and Control : Proceedings of the 12th International Conference (HSCC 2009), April 13-15, 2009, San Francisco, CA, USA. Lecture Notes in Computer Science, vol. 5469, Springer, Berlin, pp. 150-164, 12th International Conference on Hybrid Systems: Computation and Control (HSCC 2009), San Francisco, California, United States, 13/04/09. https://doi.org/10.1007/978-3-642-00602-9_11

Stability analysis of networked control systems using a switched linear systems approach. / Donkers, M.C.F.; Hetel, L.L.; Heemels, W.P.M.H. et al.
Hybrid Systems: Computation and Control : Proceedings of the 12th International Conference (HSCC 2009), April 13-15, 2009, San Francisco, CA, USA. ed. / R. Majumdar; P. Tabuada. Berlin: Springer, 2009. p. 150-164 (Lecture Notes in Computer Science; Vol. 5469).

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

TY - GEN

T1 - Stability analysis of networked control systems using a switched linear systems approach

AU - Donkers, M.C.F.

AU - Hetel, L.L.

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

AU - Wouw, van de, N.

AU - Steinbuch, M.

N1 - Conference code: 12

PY - 2009

Y1 - 2009

N2 - In this paper, we study the stability of Networked Control Systems (NCSs) that are subject to time-varying transmission intervals and communication constraints in the sense that, per transmission, onlyone node can access the network and send its information. The order in which nodes send their information is dictated by a network protocol, such as the well-known Round Robin (RR) or Try-Once-Discard(TOD) protocol. Focussing on linear plants and linear continuous-time or discrete-time controllers, we model the NCS with time-varying transmission intervals as a discrete-time switched linear uncertain system. We obtain bounds for the allowable range of transmission intervals in terms of both minimal and maximal allowable transmission intervals. Hereto, a new convex overapproximation of the uncertain switched system is proposed, using a polytopic system with norm-bounded uncertainty, and new stability results for this class of hybrid systems are developed. On the benchmark example of a batch reactor, we explicitly exploit the linearity of the system, leading to a significant reduction in conservatism with respect to the existing approaches.

AB - In this paper, we study the stability of Networked Control Systems (NCSs) that are subject to time-varying transmission intervals and communication constraints in the sense that, per transmission, onlyone node can access the network and send its information. The order in which nodes send their information is dictated by a network protocol, such as the well-known Round Robin (RR) or Try-Once-Discard(TOD) protocol. Focussing on linear plants and linear continuous-time or discrete-time controllers, we model the NCS with time-varying transmission intervals as a discrete-time switched linear uncertain system. We obtain bounds for the allowable range of transmission intervals in terms of both minimal and maximal allowable transmission intervals. Hereto, a new convex overapproximation of the uncertain switched system is proposed, using a polytopic system with norm-bounded uncertainty, and new stability results for this class of hybrid systems are developed. On the benchmark example of a batch reactor, we explicitly exploit the linearity of the system, leading to a significant reduction in conservatism with respect to the existing approaches.

U2 - 10.1007/978-3-642-00602-9_11

DO - 10.1007/978-3-642-00602-9_11

M3 - Conference contribution

SN - 978-3-642-00601-2

T3 - Lecture Notes in Computer Science

SP - 150

EP - 164

BT - Hybrid Systems: Computation and Control : Proceedings of the 12th International Conference (HSCC 2009), April 13-15, 2009, San Francisco, CA, USA

A2 - Majumdar, R.

A2 - Tabuada, P.

PB - Springer

CY - Berlin

T2 - 12th International Conference on Hybrid Systems: Computation and Control (HSCC 2009)

Y2 - 13 April 2009 through 15 April 2009

ER -

Donkers MCF, Hetel LL, Heemels WPMH , Wouw, van de N , Steinbuch M. Stability analysis of networked control systems using a switched linear systems approach. In Majumdar R, Tabuada P, editors, Hybrid Systems: Computation and Control : Proceedings of the 12th International Conference (HSCC 2009), April 13-15, 2009, San Francisco, CA, USA. Berlin: Springer. 2009. p. 150-164. (Lecture Notes in Computer Science). doi: 10.1007/978-3-642-00602-9_11

Stability analysis of networked control systems using a switched linear systems approach

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