There is no legally defined process involved in this unless the member resigns from the committee in the hope that they will be re-elected eventually, or if they are sacked by the owners by a simple majority at a general meeting. If they resigned and then wanted to act as a proxy, that would have to be approved at each meeting by the other members of the committee. If they are sacked by the owners, then they can’t be on the committee for at least s year.
But why would you let this person near the committee if they have already been suspended (albeit voluntarily)?