The other system parameters are given in PID turn-table experiment post and will be used them in SI unit form in the simulation. We will be using these paameters to implement the controller. After that we will report the step response characteristics for the simulated system.įrom out experiment we found that, the PID controller parameters are \(K_P = 2, T_d = 5e-4 min, T_i = 5e-5 min\). We are now ready to simulate the response of the same PID turn-table experiment for a unit step input. Percentage of Overshoot: Percentage difference between the maximum peak of the response and steady state response, relative to the steady state response.
Settling time \((T_s)\): The time that the response signal would take to settle within 2% error relative to the steady-state response. Rise time \((T_r)\): The time that the response signal would take to reach to 90% from 10% of the steady-state response. There are three main characteristics of the step response.
In time domain if we define control input as \(u(t)\) and error signal as \(e(t)\), then based on the definition of PID controller, we write Transfer function of a PID controllerĪ PID controller block, takes the error signal as input and generates control output signal. Finally we will use the data that we have collected in previous postduring the experiment to simulate a PID controller and analyze its step response. After going through this post one will be able to under stand how to derived transfer function of a PID controller, what are the different characteristics of step input response and how are they defined. In this post I will show some theoretical analysis of the PID controller that we have designed in my previous post. PID controller step input characteristics
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