Question

2 27 A controller transfer function can be given by:
G(s)=(4s + 1) / (0.4s + 1)
What type of controller is this?
Ops: A.
O Lag controller with a = 2
Lead controller with B = 0.1
C.
O Lag controller with a = 10
O Lead controller with B = 0.2​

Answer 1

s+2)/(s+1). (s+2)/(s+5) ... 05․ The transfer function of a phase lead compensator is given by: G(s) = (1 + 3Ts)/(1 + Ts) where ...

Answer 2

Answer: Lag Controller with  α = 10

Explanation:

What is a Controller Transfer Function?

A transfer function depicts the relationship between the input signal and output signal of a control system for all conceivable input values.

A block diagram is a representation of the control system's transfer function using blocks, and the various input and output signals are represented by arrows.

Any control system has a reference input called excitation or cause that, when used in conjunction with a transfer operation (i.e., the transfer function), generates an effect that results in a controlled output or response.

The transfer function of phase lead compensator =  α(1+TS)/(1+ αTS)

Where, α < 1 Therefore for lead compensator zero is nearer to origin.

By comparing two transfer functions, T = 4 and α = 10.

Therefore, given transfer function is  Lag Controller with  α = 10.

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