Abstract
The tuning rule of PID gains has been studied for a long time. For example, there is a method referred to as the improved ultimate sensitivity method. This method which utilizes the estimate of delay-time and the characteristic type tunes the gains. However, estimating delay-time and the characteristic type is needed experience of an expert, it is not easy for beginners to estimate these values accurately. Therefore the systematic method for estimating these values is required. In this paper, a new method for identifying the delay-time and the characteristic type of a plant with input delay is proposed. This method only uses frequency responses at two frequencies, which correspond to the critical point and the other point on the Nyquist locus. Then, PID gain is calculated by applying the improved ultimate sensitivity method, and numerical examples show the effectiveness of the proposed method.
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