Mixed-modes-based switched delay system approach to the stabilization of networked control systems

As an important characteristic of the switched delay systems, the mixed modes are taken into account for modeling and stabilization of networked control systems based on continuous-time switched delay systems. Firstly, by using the controller switching technique and the active packet dropout strategy, modeling the NCS with network-induced delays and packet dropouts as a continuous-time switched delay system is investigated. Secondly, with this model, the conditions of under what conditions the NCS is exponentially stabilizable with certain tolerated large delay and packet dropouts rate is given. Restructuring the Lyapunov-Krasovskii functional based on the switching signal of the system is studied when considering the mixed modes for the stabilization of the NCS. Finally, a simulation example is provided to illustrate the applicability and effectiveness of the developed results.