Robust exponential stabilization of Networked Switched Control Systems

The use of networks in control systems to connect controllers and sensors/actuators has become a common practice. A networked switched control system, a special case of such systems, is studied in this paper by making use of linear descriptor system theory. Such a control system is modeled as switched delay systems involving network-induced delay and packet dropout. Sufficient conditions for robust exponential stability are given for a class of switching signals with average dwell time. A design method to stabilize a continuous-time, linear switched plant under a given communication network via a hybrid state feedback controller is proposed. The design solution for hybrid controllers is network-dependent and given in terms of linear matrix inequalities.