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LMI synchronization conditions for variable fractional-order one-sided Lipschitz chaotic systems with gain fluctuations

Author

Listed:
  • Chen, Liping
  • Liu, Chuang
  • Lopes, António M.
  • Lin, Yong
  • Liu, Yingxiao
  • Chen, YangQuan

Abstract

This article addresses the synchronization of general variable fractional-order one-sided Lipschitz chaotic systems with norm-bounded time-varying parametric uncertainty. A non-fragile state feedback control scheme is designed to cope with uncertainties in the controller gain fluctuations, and a sufficient condition for master/slave synchronization and determination of the controller gain is derived and expressed as a linear matrix inequality. The new control approach is applicable to fractional-order Lipschitz chaotic systems as well as to integer-order systems. Additionally, compared with other existing schemes, the method is easier and less costly to implement in real-world applications. Three numerical examples are given to show the performance of the non-fragile control approach for synchronizing practical chaotic systems.

Suggested Citation

  • Chen, Liping & Liu, Chuang & Lopes, António M. & Lin, Yong & Liu, Yingxiao & Chen, YangQuan, 2024. "LMI synchronization conditions for variable fractional-order one-sided Lipschitz chaotic systems with gain fluctuations," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    • Handle: RePEc:eee:chsofr:v:189:y:2024:i:p1:s0960077924012475
    DOI: 10.1016/j.chaos.2024.115695
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