Performance evaluation of sampled-data control of Markov jump linear systems

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∞ performan...

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Bibliographic Details
Published in:Automatica (Oxford) 2017-12, Vol.86, p.212-215
Main Authors: Gabriel, Gabriela W., Geromel, José C.
Format: Article
Language:English
Subjects:
Hybrid systems
Markov processes
Optimal control
Sampled-data control
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Summary: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.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2017.08.015