State Feedback Stabilization of Networked Control Systems With Random Time Delays and Packet Dropout

This article considers the state feedback controller design in the networked control systems (NCSs). The network-induced random time delays and packet dropout existing in sensor-to-controller (S-C) and controller-to-actuator (C-A) links are modeled by two Markov chains. The controller incorporates not only the current S-C delay but also the most recent C-A delay to exploit all available information. Then, the system is converted to be a special jump linear system. The sufficient and necessary conditions for stochastic stability are derived and the state feedback stabilization problem is formulated to be an optimization problem solved by the iterative linear matrix inequality (LMI) approach. A design example is given to illustrate the effectiveness of the proposed method.