In control theory the unit step response is the response of a dynamic system to the Heaviside step function.

$a(t)\; =\; h(t)*\backslash sigma\; (t)\; =\; \backslash int\backslash limits\_\{\; -\; \backslash infty\; \}^\backslash infty\; \{h(\backslash tau\; )\backslash sigma\; (t\; -\; \backslash tau\; )\}\; d\backslash tau\; =\; \backslash int\backslash limits\_\{\; -\; \backslash infty\; \}^t\; \{h(\backslash tau\; )\}\; d\backslash tau$

The step response has the following characteristics:

• overshoot
• rise time
• settling time

In the case of linear dynamic systems, a great deal can be inferred about the system from these characteristics. Depending on the application, system performance may be specified in terms of these characteristics instead of bandwidth.

Sprungantwort | réponse indicielle | Переходная функция