In the video below Eddie Bravo goes over options from the Quarter Guard and how to use it to transition to better control positions.
Having a good Quarter Guard Clinch will help regain control when your opponent is doing the Knee Cut pass or has their knee up preventing you from getting Traditional Half or the Lockdown.
Eddie goes from the clinch to a Mini Stomp which messes with the opponent's base and allows him to get the Lockdown. You can also transition to the Deep Half Guard