Implemented pole-placement and linear quadratic regulator on the following systems using GNU Octave:

• Cart pendulum
• Complex pulley
• Mass spring system
• Simple pendulum
• Simple pulley

In all of the above systems, the output of pole placement, LQR and system behaviour without an external input was compared.

• control

Navigate to the directory containing the above files and execute the following commands in the command prompt:

1. octave
2. Cart_Pendulum
3. cart_pendulum_main()

Now, you can view the simulation. Also, make sure that octave is present in the environment variables.

The feedback mechanisms can be changed in the main function present in each file. There are three options:

• No external input
• LQR (Linear quadratic regulator)
• Pole placement