NDLI: A Bounded Real Lemma for continuous-time linear systems with partial information on the Markovian jumping parameters

Content Provider	IEEE Xplore Digital Library
Author	Graciani Rodrigues, C. C. Todorov, Marcos G. Fragoso, Marcelo D.
Copyright Year	2015
Description	Author affiliation: National Laboratory for Scientific Computing - LNCC/CNPq, Av. Getúlio Vargas 333, Petrópolis, Rio de Janeiro, CEP 25651-070, Brazil (Graciani Rodrigues, C. C.; Todorov, Marcos G.; Fragoso, Marcelo D.)
Abstract	In this paper we present a Bounded Real Lemma for continuous-time Markov jump linear systems with partial observations of the Markov chain. The main result provides a fundamental tool for the development of an H∞ control theory devoted to this class of systems, and consists of a necessary and sufficient condition for a given stochastic system to be mean square stable and satisfy a prescribed degree of H∞ performance. We also devise a method for the design of H∞ controllers via linear matrix inequalities, which is subsequently applied to the control of an unmanned aerial vehicle model.
Starting Page	4226
Ending Page	4231
File Size	333752
Page Count	6
File Format	PDF
e-ISBN	9781479978861
DOI	10.1109/CDC.2015.7402878
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-12-15
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Markov processes Linear systems Yttrium Linear matrix inequalities State feedback partial observations H∞ control continuous-time Markov jump linear systems
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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