Abstract:

The problem of robust H_∞state feedback control is studied for uncertain networked control systems  with two additive random networkinduced delays. Both sensor to controller delay and controller to actuator  delay are taken into consideration. The networkinduced delays are modeled as two continuestime discrete states Markov chains which are mutually independent. The uncertain networked control system is converted to a Markovian jump linear system with two additive random delays. By using the LyapunovKrasovskii functional method and a new technique of inequality, the sufficient conditions on stochastic stability and H_∞ performance for the uncertain networked control system are given. The corresponding controller design methods are proposed in terms of linear matrix inequality. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.