Predefined-Time Control for Uncertain High-Order Nonlinear Systems with Quantized Input Signal

The paper focuses on studying an adaptive fuzzy predefined-time tracking control method for a category of un-certain high-order nonlinear systems with input quantization. The considered plants contain unknown nonlinear functions, input quantization, and external disturbances. To handle the difficulties introduced by the uncertain nonlinearities within the original systems, fuzzy logic systems are employed to estimate the unknown nonlinear functions, while power integrator technology is utilized to address the challenge posed by high-order terms. Using the predefined-time Lyapunov stability theory based on the backstepping recursive technique, the system stability analysis is presented, and it is demonstrated that all signals in the closed-loop system remain bounded within the preset time interval.