Guaranteed cost control for a class of networked control systems with Markov delays

This note investigates the modeling and guaranteed cost control for a class of networked control systems (NCSs) with random Markov delays. The delay processes in the sensor-to-controller and controller-to-sensor are modeled as two Markov chains and a jump linear system model is established. By using the Lyapunov theory and the linear matrix inequality (LMI) technique, the sufficient condition for the stochastic stability of the closed-loop NCS is derived. Furthermore, the design method for the guaranteed cost control law is presented via the cone complementary linearization method. Finally, the numerical example demonstrates the validity of the proposed method.