Guaranteed cost control of the networked control system

In this paper, we show the design method of the networked control system with structured uncertainty. In this system, the plant and the controller are connected with a communication bus. The plant and controller are denoted as LTI-system, but the communication bus has a periodic characteristic. So that the whole of the system characteristics is denoted as a periodic system. In this paper, we consider the guaranteed cost control in the case with the linear time-varying system. As this result, we derive the stochastic discrete algebraic Riccati equation of the time-varying case and apply this equation to the design problem of networked control system. In the numerical example, the plant is car-pendulum system with uncertainty. Through the numerical result, we show the effectiveness of our proposed method.