TY  - JOUR
AU  - Zhang, Yining
AU  - Li, Xinran
AU  - Zhang, Tinglin
AU  - Zhang, Huasheng
PY  - 2026
TI  - Variable convergence rate fuzzy control of chaotic Chua's circuit under impulsive and stochastic disturbances
JO  - AIMS Mathematics
SP  - 3703
EP  - 3723
VL  - 11
IS  - 2
AB  - 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.
UR  - https://doi.org/10.3934/math.2026150
DO  - 10.3934/math.2026150