Game Consoles PS2 - XBox - Nintendo

[ec121j]

Hello, I need some help with my crazy controller.

I have a logitech PS2 cordless controller:

M/N: G-X2D11

P/N: 863239-0000

FCC ID: DZLGX2D

I am trying to make it work with my PS2 slim (SCPH 7012CB) but I am having problems with it.

My first question: is this controller compatible with the PS2 slim that I am using?

The problem with the controller is that when I connect it to the console and a game starts, in the game it looks like I keep pressing an arrow or a button when I am actually not pressing anything. The controller sends a signal like if I am holding the stick in one direction and, in some other games, like if I am pressing one button when I am not, and it stays like that the whole time even if I press other buttons.

What can I do to fix this problem?