Design a deadbeat controller for the system of Problem 5.7 to obtain perfect tracking of a unit step in minimum finite time. Obtain the analog output for the system, and compare your design to that obtained in Problem 5.7. Then apply the controller to the process
![1287_1c12016d-356b-48df-bfa2-727ad087a267.png](https://secure.tutorsglobe.com/CMSImages/1287_1c12016d-356b-48df-bfa2-727ad087a267.png)
to verify the robustness of the control system.
Problem 5.7
Show that the bilinear transformation of the PID controller expression (5.20) yields expression (6.33).