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Author:

Li, Qian-Qian (Li, Qian-Qian.) | Wang, Zi-Peng (Wang, Zi-Peng.) | Huang, Tingwen (Huang, Tingwen.) | Wu, Huai-Ning (Wu, Huai-Ning.) | Li, Han-Xiong (Li, Han-Xiong.) | Qiao, Junfei (Qiao, Junfei.)

Indexed by:

EI Scopus SCIE

Abstract:

For nonlinear delayed parabolic partial differential equation (PDE) systems, this article 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. Second, 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. Last, three examples are given to illustrate the designed approach.

Keyword:

spatially point measurements (SPMs) stochastic sampled-data (SD) control fault-tolerant control Nonlinear delayed parabolic partial differential equation (PDE) system

Author Community:

  • [ 1 ] [Li, Qian-Qian]Univ Jinan, Sch Elect Engn, Jinan 250022, Peoples R China
  • [ 2 ] [Wang, Zi-Peng]Beijing Univ Technol, Fac Informat Technol, Beijing Lab Smart Environm Protect, Beijing Key Lab Computat Intelligence & Intelligen, Beijing 100124, Peoples R China
  • [ 3 ] [Qiao, Junfei]Beijing Univ Technol, Fac Informat Technol, Beijing Lab Smart Environm Protect, Beijing Key Lab Computat Intelligence & Intelligen, Beijing 100124, Peoples R China
  • [ 4 ] [Wang, Zi-Peng]Beijing Univ Technol, Beijing Inst Artificial Intelligence, Beijing 100124, Peoples R China
  • [ 5 ] [Qiao, Junfei]Beijing Univ Technol, Beijing Inst Artificial Intelligence, Beijing 100124, Peoples R China
  • [ 6 ] [Huang, Tingwen]Texas A&M Univ, Sci Program, College Stn, TX 77843 USA
  • [ 7 ] [Wu, Huai-Ning]Beihang Univ, Sch Automat Sci & Elect Engn, Sci & Technol Aircraft Control Lab, Beijing 100191, Peoples R China
  • [ 8 ] [Li, Han-Xiong]City Univ Hong Kong, Dept Syst Engn & Engn Management, Hong Kong, Peoples R China

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Source :

IEEE TRANSACTIONS ON FUZZY SYSTEMS

ISSN: 1063-6706

Year: 2023

Issue: 8

Volume: 31

Page: 2679-2693

1 1 . 9 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:19

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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