Projective Synchronization for Uncertain Fractional Reaction-Diffusion Systems via Adaptive Sliding Mode Control Based on Finite-Time Scheme

Yonggui Kao; Yue Cao; Yangquan Chen

doi:10.1109/TNNLS.2023.3288849

Projective Synchronization for Uncertain Fractional Reaction-Diffusion Systems via Adaptive Sliding Mode Control Based on Finite-Time Scheme

Yonggui Kao^*
, Yue Cao
, Yangquan Chen

^*Corresponding author for this work

Harbin Institute of Technology Weihai
University of California Merced

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

25 Scopus citations

Abstract

In this article, the projective synchronization of uncertain fractional-order (FO) reaction-diffusion systems is studied for the first time via the fractional adaptive sliding mode control (SMC) method. A FO integral type switching function is designed, and corresponding adaptive SMC laws are derived which ensure the FO sliding mode surface (SMS) is reachable after a finite time interval. The improved version of these control laws which have smaller oscillation and better control performance are also derived. A new lemma for proving the finite-time reachability of the FO SMS is developed. At last, numerical examples are provided to verify the effectiveness of our theories.

Original language	English
Pages (from-to)	15638-15646
Number of pages	9
Journal	IEEE Transactions on Neural Networks and Learning Systems
Volume	35
Issue number	11
DOIs	https://doi.org/10.1109/TNNLS.2023.3288849
State	Published - 2024
Externally published	Yes

Keywords

Adaptive control
finite time
fractional reaction-diffusion system
projective synchronization
sliding mode control (SMC)

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10.1109/TNNLS.2023.3288849

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title = "Projective Synchronization for Uncertain Fractional Reaction-Diffusion Systems via Adaptive Sliding Mode Control Based on Finite-Time Scheme",

abstract = "In this article, the projective synchronization of uncertain fractional-order (FO) reaction-diffusion systems is studied for the first time via the fractional adaptive sliding mode control (SMC) method. A FO integral type switching function is designed, and corresponding adaptive SMC laws are derived which ensure the FO sliding mode surface (SMS) is reachable after a finite time interval. The improved version of these control laws which have smaller oscillation and better control performance are also derived. A new lemma for proving the finite-time reachability of the FO SMS is developed. At last, numerical examples are provided to verify the effectiveness of our theories.",

keywords = "Adaptive control, finite time, fractional reaction-diffusion system, projective synchronization, sliding mode control (SMC)",

author = "Yonggui Kao and Yue Cao and Yangquan Chen",

note = "Publisher Copyright: {\textcopyright} 2012 IEEE.",

year = "2024",

doi = "10.1109/TNNLS.2023.3288849",

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T1 - Projective Synchronization for Uncertain Fractional Reaction-Diffusion Systems via Adaptive Sliding Mode Control Based on Finite-Time Scheme

AU - Kao, Yonggui

AU - Cao, Yue

AU - Chen, Yangquan

PY - 2024

Y1 - 2024

N2 - In this article, the projective synchronization of uncertain fractional-order (FO) reaction-diffusion systems is studied for the first time via the fractional adaptive sliding mode control (SMC) method. A FO integral type switching function is designed, and corresponding adaptive SMC laws are derived which ensure the FO sliding mode surface (SMS) is reachable after a finite time interval. The improved version of these control laws which have smaller oscillation and better control performance are also derived. A new lemma for proving the finite-time reachability of the FO SMS is developed. At last, numerical examples are provided to verify the effectiveness of our theories.

AB - In this article, the projective synchronization of uncertain fractional-order (FO) reaction-diffusion systems is studied for the first time via the fractional adaptive sliding mode control (SMC) method. A FO integral type switching function is designed, and corresponding adaptive SMC laws are derived which ensure the FO sliding mode surface (SMS) is reachable after a finite time interval. The improved version of these control laws which have smaller oscillation and better control performance are also derived. A new lemma for proving the finite-time reachability of the FO SMS is developed. At last, numerical examples are provided to verify the effectiveness of our theories.

KW - Adaptive control

KW - finite time

KW - fractional reaction-diffusion system

KW - projective synchronization

KW - sliding mode control (SMC)

UR - https://www.scopus.com/pages/publications/85167808816

U2 - 10.1109/TNNLS.2023.3288849

DO - 10.1109/TNNLS.2023.3288849

M3 - 文章

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AN - SCOPUS:85167808816

SN - 2162-237X

VL - 35

SP - 15638

EP - 15646

JO - IEEE Transactions on Neural Networks and Learning Systems

JF - IEEE Transactions on Neural Networks and Learning Systems

IS - 11

ER -

Projective Synchronization for Uncertain Fractional Reaction-Diffusion Systems via Adaptive Sliding Mode Control Based on Finite-Time Scheme

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Keywords

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