How to apply mathematically the ISE, ITSE, IAE, and ITAE for the transfer function in terms of error:
1-Integral Square Error
2-Integral Time Absolute Error
3-Integral Absolute Error
4-Integral Time Square Error
The Integral Square Error (ISE), Integral Time-weighted Square Error (ITSE), Integral Absolute Error (IAE), and Integral Time-weighted Absolute Error (ITAE) are performance metrics used in control theory to quantify the error between a desired response and an actual system's output.
These measures provide different ways to assess the performance of a control system, considering the error over time. They are often used in system analysis and design to compare the performance of different control systems.
By calculating these integrals, one can evaluate how well a control system is tracking the desired response. The smaller the value of these error measures, the better the performance of the control system in tracking the reference input.
For practical applications, these measures are often used in tuning controllers to minimize the error and improve the system's performance in following the desired response.
If you have a specific transfer function or control system, these error measures can be calculated numerically by evaluating the integrals over a finite time interval or utilizing software tools like MATLAB or Python to simulate the system's response and calculate these error measures.
Hmm, using my mathematical knowledge, i would say try and use the MODE 4 1 on your calcujlaotr (i mispelt calculator) and it should bring you to a screen to calculate the stuff you want. Thanks for asking, and stay vigilant!
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