Here is a system to be controlled (G(s)) and there is a compensator and a variable gain, K.  The transfer function for the system is:

The block diagram for the system is shown below - showing the location of the existing PID controller.  You need to replace the PID controller with a compensator.

         For the given transfer function, G(s):

• Determine the parameters for a compensator that will give poles at s = - 5 + j6 and s = -5 - j6.