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Author:

Zhang, Xu (Zhang, Xu.) | Wang, Zi-Peng (Wang, Zi-Peng.) | Wu, Huai-Ning (Wu, Huai-Ning.) | Zhang, Xiao-Wei (Zhang, Xiao-Wei.) | Li, Han-Xiong (Li, Han-Xiong.) | Qiao, Jun-Fei (Qiao, Jun-Fei.) (Scholars:乔俊飞)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, we consider the robust non-fragile H-infinity fuzzy control for uncertain nonlinear delayed hyperbolic partial differential equation (PDE) systems, which can represent the dynamics of most industrial processes, such as plug-flow reactors, fixed-bed reactors, tubular heat exchangers, traffic flows, and wave equations. Initially, a Takagi-Sugeno (T-S) fuzzy-delayed hyperbolic PDE model is presented to describe the uncertain nonlinear delayed hyperbolic PDE system. Subsequently, based on the T-S fuzzy delayed hyperbolic PDE model, spatial linear matrix inequality (SLMI) based sufficient conditions to ensure exponential stability with an H-infinity performance are obtained via utilizing the Lyapunov direct method. Then, to solve the SLMIs, the robust non-fragile H-infinity fuzzy control problem for uncertain nonlinear delayed hyperbolic PDE systems is formulated as an LMI feasibility problem. Finally, two examples on a Lotka-Volterra PDE system and a non-isothermal plug-flow reactor (PFR) are presented to illustrate the effectiveness of the presented control method.

Keyword:

H(8 )control Non-fragile control Takagi-Sugeno (T-S) model Uncertain nonlinear delayed hyperbolic PDE systems Fuzzy control

Author Community:

  • [ 1 ] [Zhang, Xu]Univ Jinan, Sch Elect Engn, Jinan 250022, Peoples R China
  • [ 2 ] [Wang, Zi-Peng]Beijing Univ Technol, Beijing Inst Articial Intelligence, Fac Informat Technol, Engn Res Ctr Intelligence Percept, Beijing 100124, Peoples R China
  • [ 3 ] [Qiao, Jun-Fei]Beijing Univ Technol, Beijing Inst Articial Intelligence, Fac Informat Technol, Engn Res Ctr Intelligence Percept, Beijing 100124, Peoples R China
  • [ 4 ] [Wu, Huai-Ning]Beihang Univ, Sch Automation Sci & Elect Engn, Sci & Technol Aircraft Control Lab, Engn Res Ctr Intelligence Percept, Beijing 100191, Peoples R China
  • [ 5 ] [Zhang, Xiao-Wei]Tiangong Univ, Sch Control Sci & Engn, Sci & Technol Aircraft Control Lab, Tianjin 300387, Peoples R China
  • [ 6 ] [Li, Han-Xiong]City Univ Hong Kong, Dept Syst Engn & Engn Management, Kowloon Tong, Engn Res Ctr Intelligence Percept, Hong Kong, Peoples R China

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Source :

INTERNATIONAL JOURNAL OF FUZZY SYSTEMS

ISSN: 1562-2479

Year: 2022

Issue: 2

Volume: 25

Page: 851-867

4 . 3

JCR@2022

4 . 3 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:49

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 5

SCOPUS Cited Count: 5

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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