Robust Hoo control for a class of discrete-time Markovian jump systems over two-channel networks

The robust H( arrow left ) control problem for a class of discrete-time Markovian jump systems over two-channel networks was studied. Networks existed only on the sensor-to-controller side, while, the system state and the mode signal of the plant were transmitted to the controller through two channels having different characteristics. The behaviors of random packet losses and delays were separately modeled as a Bernoulli, distribution and a Markov process taking values in a finite state space. By adopting the augmenting technique and the Lyapunov method, a mode-dependent and network-dependent state feedback controller was constructed to ensure the robust stabilization of the closed-loop system and the prescribed H( arrow left ) disturbance attenuation level was achieved. A numerical example was given to show the validity of the result.