Journal
IET CONTROL THEORY AND APPLICATIONS
Volume 11, Issue 12, Pages 1904-1912Publisher
INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/iet-cta.2016.1462
Keywords
sampled data systems; fuzzy systems; stochastic systems; manipulators; Markov processes; linear matrix inequalities; control system synthesis; sampled-data reliable control; T-S fuzzy semi-Markovian jump system; single-link robot arm model; FSMJS; semi-Markov stochastic process; cumulative distribution function; sample-and-hold behaviour; mismatched membership function; linear matrix inequalities
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Funding
- National Natural Science Foundation of China [NSFC:11626093]
- Natural Science Foundation of Hubei Provinces of China [2016CFB211]
- Chunhui Plan Project of Ministry of Education [Z2015114]
- Project of Education Department of Sichuan Province [15ZA0142]
- Key Laboratory of Fluid and Power Machinery of the Ministry of Education
- Basic Science Research Programs through the National Research Foundation of Korea (NRF) - Ministry of Education [NRF-2017R1A2B2004671]
- National Research Foundation of Korea [22A20130000136] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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This study investigates the sampled-data reliable control for a class of Takagi-Sugeno (T-S) fuzzy semi-Markovian jump system (FSMJS). The system under consideration involves semi-Markov stochastic process that is described by the property of cumulative distribution function. To relax the difficulty of finding upper bounds in sample-and-hold behaviour of the FSMJS, a novel method named mismatched membership function is presented. Sufficient conditions that can guarantee the T-S FSMJS to be stochastically stable are given. More precisely, the reliable sampled-data controller is designed in terms of linear matrix inequalities. Finally, the validity of the presented approach is demonstrated by a controller design for a single-link robot arm model.
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