An Enhancement of Bilateral Closed-Loop Functions in Stability Standards for Networked Control Systems with Transmission Delay

Abstract

This research looks into a new method for analyzing systems of sampled data that have time delay and stability. The system's enhanced stability condition is suggested by constructing a new Lyapunov-Krasovskii (L-K) function containing both continuous and loop functions with full consideration of the information of the transmission interval and the transmission time delay. This new L-K function better captures the dynamics of the system, leading to more reasonable and effective stability analysis results. The sample control system's stability conditions are written as linear matrix inequalities using the integral inequality method and Lyapunov stability theory. Finally, by building matlab simulation experiments, the proposed Theorem 1 and Theorem 2 allow the maximum sampling bound to be significantly improved in two different numerical examples, and the proposed results are more effective and superior when compared with the existing literature.