PID制御に基づいたモデル追従適応制御系の一設計

抄録

PID control strategy has been used for several process control systems up to now. However, it is difficult to determine appropriate gains in this control algorithm. For example, excessive overshoot and long settling-time may occur if we select unsuitable gains. Therefore, it is important to determine and adjust PID control gains since control performance depends on these gains.
On the other hand, we have found that PID control system is a special case of generalized minimum variance control systems. In this paper, we construct a design method of model following control system with PID control structure based on this relation. First, we show that the usual PID control system has a pre-compensator with PID control gains. Next, in order to construct a model following adaptive control system, we insert a compensator into the PID control system and hence, we regard the pre-compensator as a reference model. For identification of system parameters we adopt the least squares algorithm. Next, we illustrate some numerical simulations to show the effectiveness of the proposed control algorithm. Finally, we apply this method to a pressure control system.