Design of networked control systems using a stochastic switching systems approach

A networked control system (NCS) is a control system in which plants, sensors, controllers, and actuators are connected through communication networks. In this paper, we consider NCSs modeled by stochastic switching systems, and propose a new method for modeling and optimal control. First, a modeling method of the expected value of the state is proposed. The obtained model is given as a mixed logical dynamical (MLD) model, which is one of the standard models in hybrid systems. Next, the optimal control problem is approximately reduced to a linear programming problem. Finally, the effectiveness of the proposed method is shown by a numerical example.