A unity negative feedback control system in a manufacturing system has a process transfer function
![](https://test.transtutors.com/qimg/21099673-b8df-4864-8161-c95fc6ed9099.png)
and it is proposed that we use a compensator to achieve a 5% overshoot to a step input. The compensator is [4]
![](https://test.transtutors.com/qimg/d479a33f-0023-4d36-96d4-18c6a85d6d21.png)
which provides proportional plus integral control. Show that one solution is K = 0.5 and τ = 1.