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

Yonggui Kao, Changhong Wang, Hongwei Xia and Yue Cao
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Yonggui Kao: Harbin Institute of Technology (Weihai), Department of Mathematics
Changhong Wang: Harbin Institute of Technology, School of Astronautics
Hongwei Xia: Harbin Institute of Technology, School of Astronautics
Yue Cao: Harbin Institute of Technology (Weihai), Department of Mathematics

Chapter Chapter 8 in Analysis and Control for Fractional-order Systems, 2024, pp 141-163 from Springer

Abstract: Abstract In this chapter, the projective synchronization of uncertain fractional-order reaction-diffusion systems is studied for the first time via the fractional adaptive sliding mode control method. The approach involves designing a fractional-order integral type switching function and deriving adaptive sliding mode control laws that facilitate the reachability of the fractional-order sliding mode surface within a finite-time interval. Additionally, an enhanced version of these control laws, characterized by reduced oscillations and improved control performance, is presented. A new lemma is developed to demonstrate the finite-time reachability of the fractional-order sliding mode surface, and numerical examples are included to validate the efficacy of these theoretical developments.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-99-6054-5_8

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DOI: 10.1007/978-981-99-6054-5_8

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