Title
Performance evaluation of sampled-data control of Markov jump linear systems.
Abstract
This technical communique extends the recent results of Geromel and Gabriel (2015) to H∞ sampled-data control design of Markov jump linear systems (MJLS). It fulfills a lack of a specific necessary and sufficient result in the literature of sampled-data control of MJLS in the context of H∞ performance. Mean square stabilizability and performance determination are addressed and discussed in a unified theoretical viewpoint. As a natural consequence, it is shown that the previous result of Geromel and Gabriel (2015) is obtained as a particular case. A globally uniformly convergent algorithm is proposed to solve the design conditions. The theory is illustrated by means of an example.
Year
DOI
Venue
2017
10.1016/j.automatica.2017.08.015
Automatica
Keywords
Field
DocType
Sampled-data control,Hybrid systems,Markov processes,Optimal control
Markov jump linear systems,Mean square,Mathematical optimization,Control theory,Uniform convergence,Data control,Mathematics
Journal
Volume
Issue
ISSN
86
C
0005-1098
Citations 
PageRank 
References 
3
0.38
1
Authors
2
Name
Order
Citations
PageRank
Gabriela W. Gabriel1223.54
José Claudio Geromel216436.34