4.8 Article

An Asynchronous Operation Approach to Event-Triggered Control for Fuzzy Markovian Jump Systems With General Switching Policies

Journal

IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 26, Issue 1, Pages 6-18

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2016.2633325

Keywords

Asynchronous operation approach; event-triggered (ET) control; finite-time stability; fuzzy Markov jump system; switching policies

Funding

  1. Educational Commission of Hubei Province of China [Q20161902]
  2. National Natural Science Foundation of China [NSFC: 11626093]
  3. Natural Science Foundation of Hubei Provinces of China [2016CFB211]
  4. BK21 Plus Program (Development of Advanced Smart Mechatronics Systems) - Ministry of Education (MOE, Korea) [22A20130000136]
  5. National Research Foundation of Korea (NRF)

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This paper investigates the problem of event-triggered control for a class of fuzzy Markov jump systems with general switching policies. A novel event-triggered scheme is proposed to improve the transmission efficiency at each sampling instance. Each transition rate allows to be unknown, known, or only its uncertain domains value is known. With the help of a tailored technique to bind the uncertain terms and an asynchronous operation approach to tackle the fuzzy system and fuzzy controller, sufficient conditions for the resulting fuzzy Markovian jump systems are established in terms of coupled linear matrix inequalities. Finally, an example is given to illustrate the validity of the developed technique.

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