Adaptive Fuzzy Control of Stochastic Nonlinear Systems With Fuzzy Dead Zones and Unmodeled Dynamics

作者：Su, Hang; Zhang, Weihai^*

来源：IEEE Transactions on Cybernetics, 2020, 50(2): 587-599.

DOI：10.1109/TCYB.2018.2869922

• Fuzzy control
• Adaptive systems
• Stochastic processes
• Nonlinear dynamical systems
• Backstepping
• Stochastic systems
• Adaptive fuzzy control
• backstepping
• fuzzy dead zones
• stochastic small-gain theorem

This paper focuses on an input-to-state practical stability problem for a class of stochastic nonlinear systems with unmodeled dynamics and fuzzy dead zones. A feasible adaptive fuzzy control method is proposed for the developed stochastic system with the slope of dead zone being certain or fuzzy. Based on stochastic small-gain theorem and backstepping technique, the closed-loop system is guaranteed to be input-state-practically stable in probability. The main contributions of this paper lie in that the considered system is more general, and the modified Lemma 2 makes the presentation of the formulas in lemma consistent with their application forms. Finally, two simulation examples are provided to demonstrate the effectiveness of the proposed approach.

• 出版日期2020-2
• 单位山东科技大学