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.