@article{Zhang2026, 
author = {Yining Zhang and Xinran Li and Tinglin Zhang and Huasheng Zhang},
title = {Variable convergence rate fuzzy control of chaotic Chua's circuit under impulsive and stochastic disturbances},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {2},
pages = {3703-3723},
keywords = {Chua's circuit, stability of variable convergence rate, T-S fuzzy control, impulsive system, stochastic disturbance},
url = {https://www.sciopen.com/article/10.3934/math.2026150},
doi = {10.3934/math.2026150},
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.}
}