Finite-time PID predictive control of networked control systems

This paper concerns the finite-time (FT) proportional-integral-derivative (PID) predictive control for networked control systems (NCSs) with time-varying delays. A PID networked predictive control (PID-NPC) method is first proposed. This method makes use of historical information and its error of prediction state. Furthermore, an augmented switched control system is established in which the switching signal is determined by the time delay. Sufficient conditions are derived so that the resulting systems are finite-time boundedness (FTB). Then novel FT-PID controllers and the corresponding FT observers are given to compensate for the time-varying delays actively. Simulation example illustrates the effectiveness of the proposed method.