Research ArticleImproved stabilization method for networked control systems with variable transmission delays and packet dropout

- A static state-feedback controller is designed for the stabilization of networked control systems (NCSs).
- Data packet loss and latency arising in NCSs are modeled as a time-varying delay.
- Novel Lyapunov-Krasovskii functional and new free-weighting matrices are introduced.
- The stabilizing controller gain is obtained by solving a set of linear matrix inequalities (LMIs).
- Illustrative examples are given to illustrate the merits of the method.

This paper investigates the problem of stability analysis and stabilization for networked control systems with the network-induced delay and data dropout. In order to obtain less conservative results, a novel augmented Lyapunov-Krasovskii functional is introduced and new free-weighting matrices are employed to make some extra degrees of freedom in the sufficient stabilizability condition. The gain of the memoryless state-feedback controller is computed by solving a set of linear matrix inequalities (LMIs). Illustrative examples are given to verify the applicability and outperformance of the proposed method compared to the existing approaches in the literature.