Model-free stabilization for discrete-time large-scale systems with time-delays

This paper presents a data-driven methodology for designing controllers for a specific category of discrete-time large-scale systems with time delays. In our work, we introduce data-based formulas for designing decentralized state feedback control for discrete-time large-scale systems with uncertain time delays. These systems can be represented in a data-driven format, allowing for the parametrization of decentralized controllers using data collected from subsystems, such as system state, control input, and interconnection input. By using the Lyapunov–Krasovskii method, we formulate a data-driven semi-definite programming problem to derive decentralized stabilizing controllers. The noisy input data is further considered in the stabilization controller design, demonstrating its advantage of control under uncertainties.