→Kp(1+SKD) X(s) E(s) Input in V Error C(s) Input in V 1 (1+4s)(1 +0.8s) Y(S) Output in °C
I have been given the task as a tranee control engineer to design a closed-loop controller an air conditioning unit so that it has the following properties: Maximum overshoot: 10% , maximum time to reach 99% of steady state: 10 seconds, Maximum steady-state error: 10%
i have to design a PD controller in a closed-loop system - The steady state error is 1/(1+KP) so i need KP to be at least 9 to meet the brief.
I need to choose the K’D parameter so that the zero that it produces is placed somewhere between the open-loop pole, therefore put it at s = -1. I've to assume the closed loop transfer function for this system fits the standard form of a second order response when performing calculations of natural frequency, damping ratio and gain and for plotting the unit step response.
I have added the example diagram of a closed-loop system with PD control i was supplied
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