Prescribed Time Quantized Control for Nonlinear Systems via Sliding Mode

This brief presents a prescribed time quantized sliding mode control (SMC) scheme for nonlinear systems using time-varying functions. In order to reduce the communication burden, a uniform quantization strategy is considered. Two distinct time-varying functions are integrated into the design of the sliding variable and quantized SMC law, respectively, ensuring that the settling time of both the system state and the sliding variable can be prescribed and is independent of the initial conditions. Unlike existing prescribed-time SMC, the proposed method is characterized by prescribed-time ultimate boundedness with a tunable bound, even with states being quantized. Numerical simulations are conducted to highlight the main features of the proposed control scheme.