Dynamic Event-Based Fuzzy Quantized Fault-Tolerant Control for Cascaded ODE-Belt Systems With Actuator Failures and Quantization

Abstract

In this article, an adaptive boundary quantized fault-tolerant control scheme is developed for cascaded systems characterized by an axially moving belt and ordinary differential equations (ODEs). For the cascaded systems under investigation, the output of actuator dynamics serves as the input signal of the axially moving belt, such that the boundary control involving states of two subsystems is designed for vibration suppression. To mitigate the jittering during signal quantization, a sector-bounded quantizer is implemented. Moreover, the uncertainties in the actuator dynamics are approximated using fuzzy logic systems. The mixed effects of actuator failure and quantization are estimated via the bounded estimation approach, smoothing function, and adaptive technique. A dynamic event-triggered mechanism is introduced, incorporating an auxiliary dynamic variable to optimize communication resources. Based on this, a fuzzy event-based quantized fault-tolerant controller is developed for cascaded ODE-belt systems. Using the Lyapunov function method, the semi-global uniform boundedness of the closed-loop signals is guaranteed. Finally, simulation studies are conducted to validate the proposed control scheme.