Guaranteed Cost Intermittent Control for Discrete-Time System: A Data-Driven Method

Article Guaranteed Cost Intermittent Control for Discrete-Time System: A Data-Driven Method Yi Zou and Engang Tian* School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China * Correspondence: tianengang@163.com Received: 10 September 2023 Accepted: 27 November 2023 Published: 24 September 2024 Abstract: This paper explores a data-driven method to investigate the stabilization of intermittent controlled discrete-time systems (ICDTSs) with unknown parameter matrices. First, the pre-collected inputstate data is used to supersede the accurate prior system model. Then, in order to obtain the data-dependent stabilization conditions of ICDTSs, a novel relationship is designed among the control width, rest width, and convergence rate. Unlike existing studies on the stabilization of ICDTSs, this paper only needs the collected input-state data. Thus, the time-consuming process of model identification is avoided. In addition, to ensure an acceptable performance level, the data-based guaranteed cost control is also considered, and a new cost function for ICDTSs is correspondingly built. Finally, two simulations are presented to demonstrate the effectiveness of the theoretical analysis.