Networked control for a class of singular systems with time-varying transmission period

In this paper, a networked control problem is addressed for a class of singular systems with time-varying transmission period. The singular networked control system is transformed as an asynchronous dynamical system in the case of no networked-induced delay and no data packet dropout. Meanwhile, time-varying transmission period is regarded as a time-varying uncertain parameter. Further, the feedback stabilization of the asynchronous dynamical system is studied by Lyapunov methods and linear matrix inequality techniques. The design methods of a controller and the sufficient condition for stabilization of the system are presented. Finally, a numerical example illustrates the effectiveness of the proposed method.