Angular ng- grid - hide/remove column input from column menu

When you use the flag 'showColumnMenu' with true value. the ng-grid is rendered with button on the right end top panel.

Using this button we can hide/show the column on the grid.

In my Case I don't want to make it possible for some column to be visible on the grid - Meaning I want the the column menu box will be rendered with out some column.

Iv'e make plunker which demonstrated my problem

> http://ift.tt/1CvSSka

In that plnkr - I set column 'Id' to be invisible using (visible: false) But if the user click on the column menu on the right end panel he will be able to set it visible..

how can I remove the column 'id' from the column menu?

Thanks!