System Identification | Second-Order System | Step Response | Calculation & MATLAB Simulation | EX 4

In this video, we will discuss how to determine the transfer function of a system from a transient response. This is example 4 in this video series about System Identification.
The transient response in this example is a step response of a second-order system. From this response, we will determine the parameters of the system using a model. Step by step, we will carry out the calculations. Using simulations in MATLAB, we will check our calculations and thereby verify that the transfer function of the system is correct.
We follow a logical procedure and provide the solutions step by step such that it clear for you what and why we carry out a specific action.
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[@aliosmanbayir6009]

Very helpful video.. But how do you get the first unit step response graph ? How do you manage your inputs ? Should I use simulink and add step button for that ?

[@CanBijles]

You are welcome! In the simulation part, I show in MATLAB how I generate the plots. You can also use Simulink, but I prefer to use MATLAB script and command window for this case. Just let me know if you have further questions.

[@aliosmanbayir6009]

@@CanBijles hello sir, I have a question about the evaluation of transfer function diagrams... I have a rotation spring mass system and I have obtained its 2 and 3rd dof transfer functions. What I want to ask is that is it possible I change the values of the variables of that transfer function and see the difference. For example I have a few damping coefficient values and I want to see how the different damping constants effect the system . Therefore I'm changing the damping coefficient values in Matlab then running the transfer function (the transfer function changes as well) . Second question is, what does this Amplitude (dB) really means in those plots? Is it for like deformation or velocity changes in a system ?

[@CanBijles]

@@aliosmanbayir6009
1. You can sweep the values in MATLAB and observe what the effect is. See MATLAB site for the details.
2. The dB is the unit of the TRANSFER. What the transfer is, depends on the application. For example, your input can be force F (N) and the output can be distance x (m), thus the transfer is x/F. In addition, this transfer function can have a unit or be unitless.

[@parinya38888]

❤❤❤Thank you so much.

[@CanBijles]

You are welcome.