Robust Sampled - Data Control of Switched Affine Systems

This technical note considers the stabilization problem for switched affine systems with a sampled-data switching law. The switching law is assumed to be a function of the system state at sampling instants and the sampling interval may be subject to variations or uncertainty. We provide a robust swi...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 58; no. 11; pp. 2922 - 2928
Main Authors Hetel, Laurentiu, Fridman, Emilia
Format Journal Article
LanguageEnglish
Published IEEE 01.11.2013
Institute of Electrical and Electronics Engineers
Subjects
Automatic
Engineering Sciences
Linear matrix inequalities
Linear matrix inequalities (LMIs)
Lyapunov methods
Robustness
sampled-data control
switched affine systems
Switches
switching control
Uncertainty
Vectors
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Summary:This technical note considers the stabilization problem for switched affine systems with a sampled-data switching law. The switching law is assumed to be a function of the system state at sampling instants and the sampling interval may be subject to variations or uncertainty. We provide a robust switching law design that takes into account the sampled-data implementation and uncertainties. The problem is addressed from the continuous-time point of view. The method is illustrated by numerical examples.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2013.2258786