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Author:

Li, Q. (Li, Q..) | Wang, Z. (Wang, Z..) | Huang, T. (Huang, T..) | Wu, H. (Wu, H..) | Li, H. (Li, H..) | Qiao, J. (Qiao, J..)

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EI Scopus SCIE

Abstract:

For nonlinear delayed parabolic partial differential equation (PDE) systems, this paper addresses fault-tolerant stochastic sampled-data (SD) fuzzy control under spatially point measurements (SPMs). Initially, a T–S fuzzy PDE model is given to accurately describe the nonlinear delayed parabolic PDE system. Secondly, in consideration of possible actuator failure, a fault-tolerant SD fuzzy controller with stochastic sampling under SPMs is designed for nonlinear delayed parabolic PDE system, where two sampling periods are considered whose occurrence probabilities are given constants and satisfy the Bernoulli distribution. Then, by constructing a novel time-dependent Lyapunov functional, sufficient conditions that guarantee the mean square exponential stability of closed-loop delayed PDE system are obtained based on linear matrix inequalities (LMIs). Lastly, three examples are given to illustrate the designed approach. IEEE

Keyword:

spatially point measurements Fault tolerant systems fault-tolerant control Mathematical models Actuators Upper bound Fuzzy control stochastic sampled-data control Fault tolerance Stochastic processes Nonlinear delayed parabolic PDE system

Author Community:

  • [ 1 ] [Li Q.]School of Electrical Engineering, University of Jinan, Jinan, China
  • [ 2 ] [Wang Z.]Faculty of Information Technology, Beijing Laboratory of Smart Environmental Protection, Beijing Key Lab- oratory of Computational Intelligence and Intelligent System, and Beijing Institute of Artificial Intelligence, Beijing University of Technology, Beijing, China
  • [ 3 ] [Huang T.]Science Program, Texas A&M University, College Station, TX, USA
  • [ 4 ] [Wu H.]Science and Technology on Aircraft Control Lab- oratory, School of Automation Science and Electrical Engineering, Beihang University, Beijing, China
  • [ 5 ] [Li H.]Department of Systems Engineering and Engineering Management, City University of Hong Kong, Hong Kong, Hong Kong
  • [ 6 ] [Qiao J.]Faculty of Information Technology, Beijing Laboratory of Smart Environmental Protection, Beijing Key Lab- oratory of Computational Intelligence and Intelligent System, and Beijing Institute of Artificial Intelligence, Beijing University of Technology, Beijing, China

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Source :

IEEE Transactions on Fuzzy Systems

ISSN: 1063-6706

Year: 2023

Issue: 8

Volume: 31

Page: 1-14

1 1 . 9 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:19

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 25

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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