Question 2 (Generalized Controller Design)
Consider the open loop system GH=
Closed loop system:
It is a system in which the output is dependent on the input of the system. The output has a feedback system that ia connected with the input. Examples are AC, voltage stabilizer, electric iron, etc.
Open loop system has
The general controller block diagram is shown below.
the transfer function of the block diagram is
Put C(Z) in the transfer function equation.
Poles are at
The polynomial is
Compare (1) with (2) and get
Put the above value in the C(Z) equation.
Put the value (3), (4), and (5) in the eq(1).
The transfer function with the controller is