IEVref: | 351-45-31 | ID: | |

Language: | en | Status: Standard | |

Term: | unit-ramp response | ||

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Symbol: | r(t)
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Definition: | quotient ramp response Δv_{ρ}(t) divided by the ramp slope K_{ρ} of the ramp function, the quotient described by$r\left(t\right)=\frac{1}{{K}_{\text{\rho}}}\cdot \Delta {v}_{\text{\rho}}\left(t\right)$ Note 1 to entry: The unit-ramp response may be calculated from the unit-step response by $r\left(t\right)={\displaystyle \underset{-\infty}{\overset{t}{\int}}h\left(\tau \right)}\text{d}\tau$. Note 2 to entry: The unit-ramp response of a system mathematically may be considered to result from application of a unit ramp to an input variable. | ||

Publication date: | 2013-11 | ||

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$r\left(t\right)=\frac{1}{{K}_{\text{\rho}}}\cdot \Delta {v}_{\text{\rho}}\left(t\right)$

Note 1 to entry: The unit-ramp response may be calculated from the unit-step response by

$r\left(t\right)={\displaystyle \underset{-\infty}{\overset{t}{\int}}h\left(\tau \right)}\text{d}\tau$.

Note 2 to entry: The unit-ramp response of a system mathematically may be considered to result from application of a unit ramp to an input variable.