Robust stability of a class of networked control systems based on descriptor system

Based on a regular, impulse-free and linear time-invariant descriptor system, the problem of robust stability for a class of networked control systems with uncertain time-delay is studied when sensors are clock-driven, the controller and actuators are event-driven. Considering uncertain time-delay less than and equal to one sampling period, the dynamical output feedback networked control systems is modeled as a linear time-variant normal system with uncertainty. By using Lyapunov theory and linear matrix inequality approach, the sufficient and necessary conditions of robust stabilization for the system are derived, and the design method of robust control law that makes the system stable is presented. A numerical example is given to show that the analysis method and the results are valid and feasible. The result is useful to the analysis and design of networked control systems under which the controlled object plays a role of linear descriptor system.