Multiple Reference LOOKUP Formula?

I'm trying to cross-reference three sets of criteria to find my result; however, I can't get the VLOOKUP function to perform correctly for this need. Maybe I'm using the wrong function.

I attached a simple workbook to highlight my challenge. The over-simplified language that I included in the attachment, which highlights my problem, is as follows:

IF:
(B5=Sheet2!B4:B12) ---> This line finds the correct row to reference, on the Control sheet.
(year(C2)=Control!C3:E3) ---> This line chooses the correct annual column on the Control sheet, for the given month (e.g., use 2014 assumptions for a 2014 month).
(month(C2)=Control!E14) ---> This line counts the expense only in the month when the expense recurs (e.g., April 2014, April 2015).

THEN:
SUM(Control!C4:E12) ---> This line finds the specific number based on the criteria above.