Abstract
The rapid progress of digital computers enables us to simulate complex and large-scale systems. Furthermore, many control techniques have been proposed in order to improve the control performance for discrete-time control system. However, since these control techniques are too complex, it may be difficult to apply them to real plants and understand a physical meaning of control parameters included in these control strategies. On the other hand, PID and I-PD control methods have been used for several control systems up to now since they have simple control schemes. Therefore, it is necessary to consider control methods with PID and I-PD control structures in discrete-time systems.
In this paper, we construct a discrete-time control system by using model matching method. In the discrete-time control system we can not construct the model matching control system due to time-delay element. Therefore, we insert a pre-compensator in the usual I-PD control system and construct a new I-PD control system for the extended system. Furthermore, we consider an adaptive tuning method of PID gains. Finally, we illustrate some numerical simulation results to show the effectiveness of the proposed control method.