Dynamically changing axes limits - stop jitter when a new number appears

I am making a 3D animation to visualise some trajectories I'm generating using MATLAB. I have some graphs that show the states over time. The x axis limits are changed during every frame to show the previous 8 seconds of action. It all works OK but whenever a new seconds number appear the graphs 'flicker' which is not visually appealing.

The line of code that controls the x-axis is:

   xlim(axAttitude,[tInterp(ii)-xAxisLimLeft tInterp(ii)+1])

It's best understood with an example: http://i.imgur.com/dhTDoZt.mp4

Does anyone have any suggestions on how to stop this from happening?

Thanks,

Jonathan