H 2 Control for the Continuous-Time Markovian Jump Linear Uncertain Systems with Partly Known Transition Rates and Input Quantization
Joint Authors
Zhao, Xin-Gang
Han, Jianda
Ye, Dan
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-02
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
For a class of continuous-time Markovian jump linear uncertain systems with partly known transition rates and input quantization, the H2 state-feedback control design is considered.
The elements in the transition rates matrix include completely known, boundary known, and completely unknown ones.
First, an H2 cost index for Markovian jump linear uncertain systems is introduced; then by introducing a new matrix inequality condition, sufficient conditions are formulated in terms of linear matrix inequalities (LMIs) for the H2 control of the Markovian jump linear uncertain systems.
Less conservativeness is achieved than the result obtained with the existing technique.
Finally, a numerical example is given to verify the validity of the theoretical results.
American Psychological Association (APA)
Zhao, Xin-Gang& Ye, Dan& Han, Jianda. 2013. H 2 Control for the Continuous-Time Markovian Jump Linear Uncertain Systems with Partly Known Transition Rates and Input Quantization. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1009361
Modern Language Association (MLA)
Zhao, Xin-Gang…[et al.]. H 2 Control for the Continuous-Time Markovian Jump Linear Uncertain Systems with Partly Known Transition Rates and Input Quantization. Mathematical Problems in Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1009361
American Medical Association (AMA)
Zhao, Xin-Gang& Ye, Dan& Han, Jianda. H 2 Control for the Continuous-Time Markovian Jump Linear Uncertain Systems with Partly Known Transition Rates and Input Quantization. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1009361
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009361