Two MPs - Lola McEvoy and Abtisam Mohamed - have previously written to Excel Parking with concerns about people being unfairly fined at other car parks it operates.
Miss Hudson believes the five-minute payment rule is "totally unreasonable".
"I haven't got children but I can imagine a busy mum trying to sort her kids out, trying to pay for something when there's no signal here, and the machine being out of order," she said.
"This has been going on for over a year now, and I'm just really hoping it can be resolved.
"I desperately don't want this to happen to anybody else, more than anything, because it gives you a lot of stress."