Stability and PID control for networked control system

In this paper, four new control methods of output feedback proportional-integral-derivative (PID) control, dynamical output feedback PID control, state feedback PID control and dynamical state feedback PID control are presented for networked control system (NCS) with time-delay and data packet dropout. The work focuses on the model, stability and PID controller design of NCS with time-delay and dropped out packet. The NCS with time-delay and data packet dropout is modeled as an asynchronous dynamical system (ADS) constrained by event rates. Furthermore, based on the ADS theory, principle of Lyapunov stability and method of linear matrix inequality, both the semi-negative definite matrix conditions for exponential stability and the PID controller design of NCS are given. Finally, numerical examples illustrate the feasibility and efficiency of the results.