Nonuniform Data-Driven Control for Networked Control Systems with Safe Set

In this paper, a nonuniform data-driven control (DDC) method is proposed for safe networked control systems (NCSs). With the recent advancement of the Internet of things (IoT), it has become much easier to transmit and receive system information via network channels. Consequently, industrial applications increasingly demand techniques that exploit abundant data to ensure the safe operation of NCSs. The proposed DDC approach guarantees closed-loop stability and enforces a prescribed safe set on the system state, even under nonuniform sampling. The controller is synthesized directly from nonuniformly sampled data without requiring explicit system matrices. The controller design condition is derived by using a looped-functional approach. This condition is formulated in terms of linear matrix inequalities (LMIs) that incorporate the constraint of a safe set. A numerical example demonstrates the effectiveness of the proposed DDC method by achieving closed-loop stabilization.