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I want to make sure if I got this right, the following statement:

if the operator enters a unity sloped linearly increasing input then the output must eventually track the input and be at most 0.1 cm away.

does it imply that the operator signals a function $x(t)=at+b$ for $a=1$ as an input?

Short summary: This is based on a project of designing a controller that allows the available robots to perform some packaging assessments. The operator here should control the arm of the robot.

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    $\begingroup$ Please provide a source for this statement. The wording is somewhat unusual and without context it's hard to tell what this is about. $\endgroup$
    – Hilmar
    Nov 12, 2021 at 18:21
  • $\begingroup$ Alright I will edit the question in a moment @Hilmar $\endgroup$
    – SPARSE
    Nov 12, 2021 at 18:21
  • $\begingroup$ Sorry, this still very confusing. "unity slope" implies that the input and the output have the same units. It can't be "position as a function of time" since the slope for this would have to be a velocity and cannot be unitless. So it could be either time as a function of time or position as a function of position, which honestly doesn't make much sense to me. $\endgroup$
    – Hilmar
    Nov 13, 2021 at 13:30

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