Dominant Pole Placement with Modified PID Controllers

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In this paper, the limitations of the standard PID controller for dominant pole placement has been analyzed. Study shows that the modified PID controller, such as PI-D, I-PD, PI-PD and PD-PID controller, is an alternative to solve this problem. For the PI-PD and PD-PID controller, the zeros can be placed on the poles that are close to the specified dominant poles. The conditions for the existence of the dominant poles could be relaxed by pole-zero cancellation. Results show that a good dominant effect with fast response can be realized by the modified PID controllers.