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IIT Kharagpur

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Control Design via Pole Placement for an Inverted Pendulum on a Cart with Pre-Compensator Design


Instructions

  1. Enter the parameter values of the Inverted Pendulum on cart.

  2. Click on 'State Space Model' button to get the state space form of the system.

  3. Click on ' Enter the Pole Location' button to enter desired pole values.

  4. Enter the desired negative pole values.

  5. Clicking on 'Design' button for calculating the state feedback gain and pre-compensator gain values.

  6. Click on the 'Rank' or 'Determinant' or "Inference' or 'Gain Values' buttons to get the the controllability test information and gain values.

  7. Click on the 'Type of Response' dropdown button to select the required response in the simulation.

  8. Enter the required values and click on the 'Closed Loop Response' button to generate the plot.

  9. Note: Enter the initial position value between -10 m to +10 m and enter the initial angle value between -6 ° to +6 ° (as per the practical experiment point of view). Click on the "Plot" button.

  10. Click on the 'Download' button to download the plot.
  11. Click on the 'Clear' button to enter new parameter values for the system.

Enter the values of the following parameters:

Mass of the cart : M (kg) =

Mass of the pendulum : m (kg) =

Coefficient of friction for cart : b (N/m/sec) =

Length to pendulum center of mass : l (m) =

Mass moment of inertia of the pendulum : I (kg.m2) =