service stability system warning on my cadillac deville dts 2001 what is this

What is your question?

it will idle rough and die when braking when this happens the dash says service stability system it doesnt do it all the time but when it does dies alot can clear the message and usually stops driving bad but not always also feels like the power steering doesnt work when it does it getting really bad gas mileage , also front wheels have a reddish dust on rims doesnt leak anything but has gone threw power steering fluid more

What makes this problem better or worse?

seems worse when i fill gas tank

How long has your 2006 Cadillac DTS had this problem?

month