2011•Society of Instrument and Control Engineers of JapanRequires access

One parameter tuning method for PID controller

Tomoya Takagi, Yusuke Hirama, Masakatsu Harita, Hiroto Hamane, Kazuyoshi Miyazaki

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Abstract

This paper presents one parameter tuning method considering trade off problem of load disturbance responses and robustness. Maximum sensitivity is used as a parameter for tuning in this method. Multiple sets of PID parameters are derived by using geometric relationship between maximum sensitivity and closed loop transfer function in nyquist's diagram. The robustness is different due to real part of dominant pole of closed loop transfer function with derived PID parameters, even if each values of maximum sensitivity are same. Then, the derived PID parameters are optimized by using maximum sensitivity and real part of dominant pole. Using this method, PID controllers are designed by only specifying maximum sensitivity.

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What this paper is about

This paper presents one parameter tuning method considering trade off problem of load disturbance responses and robustness. Maximum sensitivity is used as a parameter for tuning in this method. Multiple sets of PID parameters are derived by using geometric relationship between maximum sensitivity and closed loop transfer function in nyquist's diagram. The robustness is different due to real part of dominant pole of closed loop transfer function with derived PID parameters, even if each values of maximum sensitivity are same. Then, the derived PID parameters are optimized by using maximum sensitivity and real part of dominant pole. Using this method, PID controllers are designed by only specifying maximum sensitivity.

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Available abstract

This paper presents one parameter tuning method considering trade off problem of load disturbance responses and robustness. Maximum sensitivity is used as a parameter for tuning in this method. Multiple sets of PID parameters are derived by using geometric relationship between maximum sensitivity and closed loop transfer function in nyquist's diagram. The robustness is different due to real part of dominant pole of closed loop transfer function with derived PID parameters, even if each values of maximum sensitivity are same. Then, the derived PID parameters are optimized by using maximum sensitivity and real part of dominant pole. Using this method, PID controllers are designed by only specifying maximum sensitivity.

Key concepts: Control theory (sociology), PID controller, Robustness (evolution), Transfer function, Sensitivity (control systems), Nyquist plot, Closed loop, Closed-loop pole

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