Function for Calculating System Time-Domain Performance Indicators

In control system engineering, evaluating a system's time-domain performance is essential. Time-domain performance refers to a system's response characteristics to input signals, including overshoot, peak time, settling time, and rise time. These performance indicators are critical for assessing system stability, accuracy, and robustness. The implementation typically involves parsing the system's transfer function or state-space representation, then performing numerical simulations or analytical calculations to extract key response parameters. For code implementation, this function would likely utilize step response analysis using control system toolbox functions (like step() in MATLAB) and then apply algorithms to detect key points in the response curve. Given a mathematical model of a system, we can use this specialized function to compute these performance metrics. The function employs signal processing techniques to accurately identify peak values, threshold crossings, and stabilization points from the system's step response. This time-domain performance indicator function plays a vital role in system design and optimization. Through extensive testing, we have found this function highly practical, as it enables engineers to effectively evaluate and improve a system's time-domain performance through automated calculation rather than manual measurement from response plots.