Adaptive quantized tracking control for switched nonlinear systems: A improved predefined-time filter backstepping method

Abstract

In this paper, an improved predefined-time scheme is constructed to solve the tracking control problem of switched nonlinear systems with input quantization (IQ) and hysteresis nonlinearity. First, we introduce quantized control to address the communication resource wastage caused by the time-sampling mechanisms. The unexpected high-frequency components introduced by IQ affect system performance seriously. To overcome this case, a new approach is proposed to remedy this, wherein a novel quantization-filtering auxiliary system is conceived via the utilization of a band-pass filter. Subsequently, an improved PTL is developed, combining the filter parameters and quantization parameters, which has two main characteristics: (1) it has a coupled relationship between filter and quantizer, further reducing the minimum upper bound of settle time and the complexity of tuning simulation parameters and (2) compared to traditional predefined-time lemmas, it has faster convergence rates. Furthermore, a predefined-time filter is devised to address the issue of “explosion of complexity.” Finally, the effectiveness of the developed control strategy is validated through numerical and practical examples.