Stability analysis of predictive approachin networked control systems using theory of switching systems

In the networked control system, time delay and data dropout can degrade the system performance or even cause instability. Predictive control is one of the effective methods to reduce the effect of time delay and data dropout in networked control systems. In the proposed predictive control method, the control data is predicted as long as it covers the time delay and data dropout in the network, and the estimation of state variables is performed using the Kalman filter. By sending a package containing the predicted control data to the actuator and selecting the appropriate control data, the desired control performance of the system can be achieved. In this paper, the networked control system is considered as a switching system with an arbitrary switching signal. A criterion for evaluating the stability of the closed-loop system with time delay and data dropout is presented based on the theory of switching systems. Time delay and data dropout are selected as switching parameters and a subset of switching dynamic systems is created in the discrete state space. By providing the Lyapunov function for all subsets and solving matrix inequalities, the stability of the system can be investigated. The simulation results show the effect of data dropout on the stability of the system by considering the time delay in the forward and feedback channels.