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

In: Analysis and Control for Fractional-order Systems

Author

Listed:
  • 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)

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.

Suggested Citation

  • Yonggui Kao & Changhong Wang & Hongwei Xia & Yue Cao, 2024. "Projective Synchronization for Uncertain Fractional Reaction-Diffusion Systems via Adaptive Sliding Mode Control Based on Finite-Time Scheme," Springer Books, in: Analysis and Control for Fractional-order Systems, chapter 0, pages 141-163, Springer.
    • Handle: RePEc:spr:sprchp:978-981-99-6054-5_8
    DOI: 10.1007/978-981-99-6054-5_8
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