Variable convergence rate fuzzy control of chaotic Chua's circuit under impulsive and stochastic disturbances

Yining Zhang; Xinran Li; Tinglin Zhang; Huasheng Zhang; Yining Zhang; Xinran Li; Tinglin Zhang; Huasheng Zhang

doi:10.3934/math.2026150

AIMS Mathematics

2026, Volume 11, Issue 2: 3703-3723. doi: 10.3934/math.2026150

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Research article Topical Sections

Variable convergence rate fuzzy control of chaotic Chua's circuit under impulsive and stochastic disturbances

1.
School of Mathematical Sciences, Liaocheng University, Liaocheng Shandong 252059, China
2.
School of Information Engineering, Yancheng Institute of Technology, Yancheng 224051, China

Received: 06 November 2025 Revised: 31 December 2025 Accepted: 22 January 2026 Published: 06 February 2026
MSC : 34D20, 93B36, 93C42, 93D09, 93D20

This paper proposes an intelligent regulation method for dynamically adjusting the convergence rate of nonlinear Chua's circuits subject to impulsive effects and stochastic disturbances, based on a Takagi-Sugeno (T-S) fuzzy model. First, an interval stability criterion for variable convergence rate is established through generalized pole assignment principle, constructing a unified analytical framework that simultaneously incorporates stability margin and dynamic convergence rate indicators. Second, a state feedback fuzzy controller with convergence rate constraints is designed. By constructing a constrained eigenvalue domain, the controller enables active regulation of the system's convergence rate. Furthermore, an intelligent convergence rate regulation algorithm is developed to achieve precise on-demand adjustment for Chua's circuit. Finally, simulation experiments conducted on the original system using the proposed fuzzy controller verify the effectiveness and practical utility of the control strategy.
- Chua's circuit,
- stability of variable convergence rate,
- T-S fuzzy control,
- impulsive system,
- stochastic disturbance
Citation: Yining Zhang, Xinran Li, Tinglin Zhang, Huasheng Zhang. Variable convergence rate fuzzy control of chaotic Chua's circuit under impulsive and stochastic disturbances[J]. AIMS Mathematics, 2026, 11(2): 3703-3723. doi: 10.3934/math.2026150

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Abstract

This paper proposes an intelligent regulation method for dynamically adjusting the convergence rate of nonlinear Chua's circuits subject to impulsive effects and stochastic disturbances, based on a Takagi-Sugeno (T-S) fuzzy model. First, an interval stability criterion for variable convergence rate is established through generalized pole assignment principle, constructing a unified analytical framework that simultaneously incorporates stability margin and dynamic convergence rate indicators. Second, a state feedback fuzzy controller with convergence rate constraints is designed. By constructing a constrained eigenvalue domain, the controller enables active regulation of the system's convergence rate. Furthermore, an intelligent convergence rate regulation algorithm is developed to achieve precise on-demand adjustment for Chua's circuit. Finally, simulation experiments conducted on the original system using the proposed fuzzy controller verify the effectiveness and practical utility of the control strategy.

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