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access icon free Sampled-data reliable control for T–S fuzzy semi-Markovian jump system and its application to single-link robot arm model

  • Author(s): Jun Cheng 1 ; Bo Wang 2 ; Ju H. Park 3 ; Wei Kang 4
    • View affiliations
    • Affiliations: 1: School of Science, Hubei University for Nationalities, Enshi, Hubei 445000, People's Republic of China ;
      2: School of Electrical Engineering and Electronic Information, Key Laboratory of Fluid and Power Machinery of the Ministry of Education, Xihua University, Chengdu 610036, People's Republic of China ;
      3: Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea ;
      4: School of Information Engineering, Fuyang Normal College, Fuyang 236041, People's Republic of China
  • Source: Volume 11, Issue 12, 11 August 2017, p. 1904 – 1912
    DOI:  10.1049/iet-cta.2016.1462 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Received 25/11/2016, Accepted 28/04/2017, Revised 22/03/2017, Published 02/05/2017

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.

Inspec keywords: Markov processes; sampled data systems; fuzzy systems; stochastic systems; manipulators; linear matrix inequalities; control system synthesis

Other keywords: FSMJS; sample-and-hold behaviour; mismatched membership function; linear matrix inequalities; T–S fuzzy semi-Markovian jump system; single-link robot arm model; sampled-data reliable control; cumulative distribution function; semi-Markov stochastic process

Subjects: Discrete control systems; Fuzzy control; Markov processes; Algebra; Manipulators; Time-varying control systems

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