Command to simulate keyboard input

Yes, it is xdotool.

To simulate a key press, use:

xdotool key <key>

For example, to simulate pressing F2:

xdotool key F2

To simulate pressing crtl + c:

xdotool key ctrl+c

To simulate pressing ctrl + c and then a Backspace:

xdotool key ctrl+c BackSpace

Check man xdotool to get more idea.

You might need to install the xdotool package first to use xdotool command.