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摘要:
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.
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来源 :
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
ISSN: 1562-2479
年份: 2022
期: 2
卷: 25
页码: 851-867
4 . 3
JCR@2022
4 . 3 0 0
JCR@2022
ESI学科: ENGINEERING;
ESI高被引阀值:49
JCR分区:2
中科院分区:3
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