Hi Vinod,
Since you have 4400 controllers, you can run upto WLC 7.0.x code. Refer this for more detail
http://www.cisco.com/c/en/us/td/docs/wireless/compatibility/matrix/compatibility-matrix.html
there is no specific limitation to 1131/1252 AP model as such, everything is WLC software dependent.
From later software 7.4.x,7.6.x,8.x, lots of improvement for QoS configuration & bandwidth control, but since your controller is old hardware, you cannot have those latest features.
here is a reference post on how QoS works in wireless environment
http://mrncciew.com/2012/11/28/understanding-wireless-qos-part-1/
HTH
Rasika
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