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H-2 Control for the Continuous-Time Markovian Jump Linear Uncertain Systems with Partly Known Transition Rates and Input Quantization
Zhao XG(赵新刚); Ye D(叶丹); Han JD(韩建达)
Department机器人学研究室
Source PublicationMATHEMATICAL PROBLEMS IN ENGINEERING
ISSN1024-123X
2013
Volume2013Pages:9 pp.
Indexed BySCI ; EI
EI Accession number20134116825171
WOS IDWOS:000324415700001
Contribution Rank1
Funding OrganizationNational Natural Science Foundation of China [61273155, 61273355, 61322312, 61273356]; Foundation of State Key Laboratory of Robotics [Z2013-06]; New Century Excellent Talents in the University [NCET-11-0083]; Foundation for the Author of National Excellent Doctoral Dissertation of PR China [201157]; Fundamental Research Funds for the Central Universities [N120504003]
KeywordSliding-mode Control H-infinity Control Feedback Stabilization Design
AbstractFor a class of continuous-time Markovian jump linear uncertain systems with partly known transition rates and input quantization, the H-2 state-feedback control design is considered. The elements in the transition rates matrix include completely known, boundary known, and completely unknown ones. First, an H-2 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 H-2 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.
Language英语
WOS HeadingsScience & Technology ; Technology ; Physical Sciences
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS KeywordSLIDING-MODE CONTROL ; H-INFINITY CONTROL ; FEEDBACK STABILIZATION ; DESIGN
WOS Research AreaEngineering ; Mathematics
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Document Type期刊论文
Identifierhttp://ir.sia.cn/handle/173321/14066
Collection机器人学研究室
Corresponding AuthorYe D(叶丹)
Affiliation1.State Key Laboratory of Robotics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, China
2.College of Information Science and Engineering, Northeastern University, Shenyang 110189, China
Recommended Citation
GB/T 7714
Zhao XG,Ye D,Han JD. H-2 Control for the Continuous-Time Markovian Jump Linear Uncertain Systems with Partly Known Transition Rates and Input Quantization[J]. MATHEMATICAL PROBLEMS IN ENGINEERING,2013,2013:9 pp..
APA Zhao XG,Ye D,&Han JD.(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,2013,9 pp..
MLA Zhao XG,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 2013(2013):9 pp..
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