Title |
A Model Reduction and PID Controller Design Via Frequency Transfer Function Synthesis |
Authors |
김주식(Kim, Ju-Sik) ; 곽명신(Kwang, Myung-Shin) ; 김종근(Kim, Jong-Gun) ; 전병석(Jeon, Byeong-Seok) ; 정수현(Jeong, Su-Hyun) |
Keywords |
model reduction ; PID controller ; frequency transfer function synthesis ; total least square |
Abstract |
This paper presents a frequency transfer function synthesis for simplifying a high-order model with time delay to a low-order model. A model reduction is based on minimizing the error function weighted by the numerator polynomial of reduced systems. The proposed method provides better low frequency fit and a computer aided algorithm. And in this paper, we present a design method of PID controller for achieving the desired specifications via the reduced model. The proposed method identifies the parameter vector of PID controller from a linear system that develops from rearranging the two dimensional input matrices and output vectors obtained from the frequency bounds. |