2自由度PID制御系の最適パラメータ

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  • Optimal Parameters of Two-Degrees-of-Freedom PID Control Systems

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A new method of optimal parameter setting for PID control systems with two-degrees-of-freedom is proposed. The method uses a frequency domain performance index, and, hence, can be applied directly (without modelling procedure) if the frequency response data of controlled objects are obtained. The performance index used here has close relation to “Time-weighted Integral of Square Error (TISE)”. By using this method, the optimal parameters are calculated for four classes of controlled objects that are first-or second-order lag plus dead time systems without zero point. By simulation, it is assured that these parameters realize less than 20% (12% on average) overshoot, nearly minimum settling time and nearly smallest TISE. The results of simulation also indecates that our method is superior to or, at least, as good as the conventional ones.

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