Your rent, as agreed with your IP and creditors will be part of your allowed living expenses and, so, you will be able to continue paying rent as normal. As magicsam says, tough, getting a new rented property would be difficult, but not impossible, during the IVA as your credit files will be wrecked for 6 years from the start of the IVA.
My opinions are merely that .. opinions based on experience. Always seek professional advice.
IVA Completed 23rd July 2013 .... C.C. 10th January 2014 http://foggy.blogs.iva.co.uk