Terminal fuzzy sliding mode control for the Duffing-Holmes system

This paper proposes the terminal fuzzy sliding mode controller for the Duffing-Holmes system. A terminal sliding mode controller can drive the close-loop system to stable in finite time. In this paper, based on a rigorous mathematical analysis and Lyapunov stability theory, a terminal fuzzy sliding mode controller is designed that the controlled system state can be driven to zero state. The terminal fuzzy sliding mode controller combines the terminal sliding mode control with the fuzzy sliding mode control. For the Duffing-Holmes system, the simulation results demonstrate that the proposed controller is able to drive the system to zero state and eliminate the chattering within a finite time.