Adaptive quantized tracking control for switched nonlinear systems with hysteresis nonlinearity using a novel predefined-time stability criterion

Abstract

This article investigates the adaptive tracking control problem for switched nonlinear systems with input quantization and hysteresis nonlinearity. First, the hysteresis nonlinear phenomenon is considered and the Bouc–Wen hysteresis model is employed to address the complexities of controller design. Considering the time-sampling mechanism may lead to the wastage of communication resources, a hysteresis quantizer is introduced to address this issue. Additionally, a command filter is constructed to relieve complexity explosion issues encountered during the backstepping process. Subsequently, compared with the conventional predefined-time lemma, a novel predefined-time lemma is proposed which can effectively adjust system performance even if the predefined-time parameter is determined. In this case, a novel adaptive predefined-time control scheme is devised by considering hysteresis properties and input quantization via the application of backstepping, which can track the reference signals within the predefined-time frame. Finally, the flexibility and effectiveness of the proposed strategy are elaborated through numerical and practical examples.