For the control signal to change at a rate proportional to the error signal, the robotic controller must employ

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ESE Mechanical 2019: Official Paper
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  1. integral control
  2. proportional-plus-integral control
  3. proportional-plus-derivative control
  4. proportional-plus-integral-plus-derivative control

Answer (Detailed Solution Below)

Option 1 : integral control
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Concept:

Integral control is the control mode where the controller output is proportional to the integral of the error with respect to time.

The control signal, to change at a rate proportional to the error signal means

\(\frac{d}{{dt}}\;\Delta I\left( t \right) \propto E\left( t \right)\)

\(\therefore \,\,\,\Delta I\left( t \right) = \;{k_I}\smallint E\left( t \right)dt\)

∴ ∆I(t) = change of control signal

E(t) = Error signal

Hence we can also say that the control signal is proportional to the integral of error and it represents an integral controller.
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