Fuzzy Observer for 2-D Parabolic Equation With Output Time Delay

Wen Kang; Zhiji Han; Zhijie Liu; Bao Zhu Guo

doi:10.1109/TFUZZ.2020.3023590

Fuzzy Observer for 2-D Parabolic Equation With Output Time Delay

Wen Kang^*, Zhiji Han, Zhijie Liu, Bao Zhu Guo

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

This article addresses fuzzy observer design for a nonlinear parabolic equation over an unit square domain Ω in terms of the time delayed spatially averaged measurement, where the observer is composed m-chain of subobservers. Due to 2-D domain, special emphases are made to the computational complexity. A Lyapunov argument is utilized to give constructive conditions ensuring the exponential stability of the resulting error system. The method used for the continuous-time fuzzy observer is applicable to the sampled-data implementation. Consistent simulation results that support the proposed theoretical statements are presented.

Original language	English
Pages (from-to)	3552-3560
Number of pages	9
Journal	IEEE Transactions on Fuzzy Systems
Volume	29
Issue number	11
DOIs	https://doi.org/10.1109/TFUZZ.2020.3023590
Publication status	Published - Nov 2021
Externally published	Yes

Keywords

Lyapunov design
nonlinear 2-D parabolic equation
observer

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10.1109/TFUZZ.2020.3023590

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keywords = "Lyapunov design, nonlinear 2-D parabolic equation, observer",

author = "Wen Kang and Zhiji Han and Zhijie Liu and Guo, {Bao Zhu}",

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AB - This article addresses fuzzy observer design for a nonlinear parabolic equation over an unit square domain Ω in terms of the time delayed spatially averaged measurement, where the observer is composed m-chain of subobservers. Due to 2-D domain, special emphases are made to the computational complexity. A Lyapunov argument is utilized to give constructive conditions ensuring the exponential stability of the resulting error system. The method used for the continuous-time fuzzy observer is applicable to the sampled-data implementation. Consistent simulation results that support the proposed theoretical statements are presented.

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Fuzzy Observer for 2-D Parabolic Equation With Output Time Delay

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Keywords

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