These 'Special Rules' govern the length of time for debate in the main chamber; which members will control debate on the floor; and which amendments - and even points of order - can be raised and debated.
The Committee has its own website which sets out the work it does: http://www.rules.house.gov/
Of particular interest is the paper on the committee available at http://www.rules.house.gov/lpp/rules_committee.pdf
The Committee Chairwoman is Congresswoman Louise M Slaughter, who represents the 28th District in New York State. The District covers part of the shoreline of Lake Ontario, and part of the City of Rochester.