Stabilization of discrete-time networked control systems with packet dropout and network-induced delay

This paper mainly investigates the mean square stabilization problem for discrete-time networked control systems (NCSs). It is assumed that there exists a single network-induced delay between the controller and the plant, while the control signal is sent to the plant over a lossy communication channel whose packet dropout process is modeled as an independent identically distributed (i.i.d.) Bernoulli process. First, a necessary and sufficient condition for stabilization is developed with some new derived coupled algebraic Riccati-type equations (CAREs), where the stabilizing control is designed to be a feedback of the conditional expectation of the state. Second, the maximum packet dropout rate pmax is introduced as a measure of stability robustness of the NCSs against the packet dropout. By introducing a proper Lyapunov function, a existence theorem of the maximum packet dropout rate is developed.