Rise time, settling time, and other step-response characteristics - MATLAB stepinfo

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stepinfo lets you compute step-response characteristics for a dynamic system model or for an array of step-response data.
Compute step-response characteristics, such as rise time, settling time, and overshoot, for a dynamic system model. For this example, use a continuous-time transfer function:
For a MIMO system, stepinfo returns a structure array in which each entry contains the response characteristics of the corresponding I/O channel of the system. For this example, use a two-output, two-input discrete-time system. Compute the step-response characteristics.
You can use SettlingTimeThreshold and RiseTimeThreshold to change the default percentage for settling and rise times, respectively, as described in the Algorithms section. For this example, use the system given by:
You can extract step-response characteristics from step-response data even if you do not have a model of your system. For instance, suppose you have measured the response of your system to a step input and saved the resulting response data in a vector y of response values at the times stored in another vector t. Load the response data and examine it.
Settling time and transient time are equal when the peak error emax is equal to the gap |yfinal-yinit| (see Algorithms), which is the case for models with no undershoot or feedthrough and with less than 100% overshoot. They tend to differ for models with feedthrough, zeros at the origin, unstable zeros (undershoot), or large overshoot.
In this example, you compute the step-response characteristics from step-response data that has an initial offset. This means that the value of the response data is nonzero before the step occurs.