- 著者
-
小河 守正
- 出版者
- 公益社団法人 計測自動制御学会
- 雑誌
- 計測自動制御学会論文集 (ISSN:04534654)
- 巻号頁・発行日
- vol.58, no.5, pp.262-270, 2022 (Released:2022-06-21)
- 参考文献数
- 14
This paper is introducing a new practical method for robust I-PD tuning based on the process dynamics model with the model parameter uncertainty. Several types of process dynamics models in the process control field are considered. These are 1st-order lag, 2nd-order lag, integrating system with 1st-order lag, 2nd-order unstable system, and all of which include time delay. The PID settings formula of the I-PD controller is derived to track the reference trajectory by the direct partial model matching method. Given the nominal process model with parameters uncertainty range, the robust PID settings are determined, which provides stable and good control performance over the entire process. For this purpose, the worst process whose control is most likely to become unstable, and the 2nd-worst process whose performance is the worst with the PID settings that stably controls the worst process are searched. If the PID settings based on the 2nd-worst process ensure stability in the worst process, the control performances over the entire process become approximately equivalent. In addition, the maximum overshoot value of the manipulated variable controlling the nominal process is utilized to design the time constant of the reference model and to adjust the control performance properly. A design example is briefly presented to illustrate the applicability of this method.