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On the stability and control of discrete linear systems with clock synchronization errors

On the stability and control of discrete linear systems with clock synchronization errors
On the stability and control of discrete linear systems with clock synchronization errors
This paper considers discrete linear time-invariant systems that can be decomposed into subsystems whose states are synchronized by a common clock whose signal reaches them with delays. In particular, stability for the case where all subsystems have the same sampling frequency, but different switching times, is investigated. In contrast to previous work, the approach taken here models the set of system matrices that arise using a polytopic uncertainty approach, which has seen extensive application in robust control theory for linear systems. Stabilization is then achieved by state feedback and a method to handle the combinatorial explosion of the number of polytope vertices is developed and illustrated using an example from swarm system navigation.
synchronisation errors, stability, control, detection
0020-3270
1491-1499
Przedwojski, Marek
2433b187-67fe-43e5-bebe-487beefdf5fb
Galkowski, Krzysztof
322994ac-7e24-4350-ab72-cc80ac8078ef
Bauer, Peter
0e922980-01f1-4c19-b75b-9922479c5e75
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Przedwojski, Marek
2433b187-67fe-43e5-bebe-487beefdf5fb
Galkowski, Krzysztof
322994ac-7e24-4350-ab72-cc80ac8078ef
Bauer, Peter
0e922980-01f1-4c19-b75b-9922479c5e75
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72

Przedwojski, Marek, Galkowski, Krzysztof, Bauer, Peter and Rogers, Eric (2011) On the stability and control of discrete linear systems with clock synchronization errors. International Journal of Control, 84 (9), 1491-1499. (doi:10.1080/00207179.2011.604164).

Record type: Article

Abstract

This paper considers discrete linear time-invariant systems that can be decomposed into subsystems whose states are synchronized by a common clock whose signal reaches them with delays. In particular, stability for the case where all subsystems have the same sampling frequency, but different switching times, is investigated. In contrast to previous work, the approach taken here models the set of system matrices that arise using a polytopic uncertainty approach, which has seen extensive application in robust control theory for linear systems. Stabilization is then achieved by state feedback and a method to handle the combinatorial explosion of the number of polytope vertices is developed and illustrated using an example from swarm system navigation.

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e-pub ahead of print date: 23 September 2011
Published date: 2011
Keywords: synchronisation errors, stability, control, detection
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 272544
URI: http://eprints.soton.ac.uk/id/eprint/272544
ISSN: 0020-3270
PURE UUID: 37576bc0-8c43-47b3-9014-03c6a0967cef
ORCID for Eric Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 07 Jul 2011 10:03
Last modified: 20 Jul 2019 01:23

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