# How can we translate this statement into an input signal expression?

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.

• Please provide a source for this statement. The wording is somewhat unusual and without context it's hard to tell what this is about. Nov 12, 2021 at 18:21
• Alright I will edit the question in a moment @Hilmar Nov 12, 2021 at 18:21
• 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. Nov 13, 2021 at 13:30