DocumentCode :
2462171
Title :
Stability and robustness of systems with synchronization errors
Author :
Przedwojski, Marek ; Galkowski, Krzysztof ; Bauer, Peter H. ; Rogers, Eric
Author_Institution :
Sch. of Electron. & Comput. Sci., Univ. of Southampton, Southampton, UK
fYear :
2009
fDate :
10-12 June 2009
Firstpage :
3262
Lastpage :
3267
Abstract :
This paper addresses the problem of synchronization errors in distributed dynamical systems. In particular, it focuses on the question of stability for the case where all subsystems have the same sampling frequency, but different switching times. In contrast to previous work, the approach taken here models the set of system matrices that arise using a polytopic uncertainty approach, where a polytope vertex corresponds to a possible state matrix of the overall system. System stabilization is then approached through state feedback and LMI techniques are used to generate the control law matrices. A method to handle the combinatorial explosion of the number of polytope vertices is developed and illustrated using an example from swarm system navigation.
Keywords :
combinatorial mathematics; linear matrix inequalities; stability; synchronisation; LMI techniques; combinatorial explosion; control law matrices; distributed dynamical systems; polytope vertex; polytope vertices; polytopic uncertainty; sampling frequency; state feedback; state matrix; swarm system navigation; synchronization error; system matrices; system robustness; system stability; system stabilization; Circuits; Clocks; Control systems; Error correction; Frequency synchronization; Robust control; Robust stability; Sampling methods; State feedback; Switches;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference, 2009. ACC '09.
Conference_Location :
St. Louis, MO
ISSN :
0743-1619
Print_ISBN :
978-1-4244-4523-3
Electronic_ISBN :
0743-1619
Type :
conf
DOI :
10.1109/ACC.2009.5160004
Filename :
5160004
Link To Document :
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