Theoretical plate is a term coined by Martin & Synge.  It is based on a study in which they imagined that chromatographic columns were analogous to distillation columns and made up or numerous discrete but connected narrow layers or plates.  Movement of the solute down the column then could be treated as a stepwise transfer. 

Theoretical plates (N) measure how efficiently a column can separate a mixture into its components. This efficiency is based on the retention time of the components and the width of the peaks.
The Theoretical Plate