How to stack stairs-plot?

How to stack stairs plot?

Stacking bar-plot works like

x=1:30;
M= rand(6,30);
bar(x, M', 'stack', 'BarWidth',1);

But stacking bar-plot is not satisfying due to the shift in the x-axis. Maybe it is easier to shift the bar-plot instead of using stairs. I want the filling being colored.