Lag Compensator
In a control system, the lag compensator creates an output that is phase-late. Lag here refers to being behind or delayed. It is made up of one capacitor C and two resistors, designated R1 and R2.
An RC circuit is the result of the lag compensator diagram. The output’s connection over the second branch is seen quite clearly. It has a capacitor C linked in series with one resistor R2.
Thus, the circuit’s output is:
Vo(s) = R2 + 1/Cs
Vi(s) = R1 + R2 + 1/Cs
Transfer Function = H(s) = Vo(s) / Vi(s)
= (R2 + 1/Cs ) / (R1 + R2 + 1/ Cs)
= CsR2 + 1 / (Cs(R1 + R2) + 1)
Lets A = R2 + R1
T = R2C
So the required equation will be = H(s) = 1 + Ts / 1 + ATs
Pole = -1 / AT
Zero = – 1 / T
Phase angle (ϕ) = sin-1 [(1 – A) / (1 + A )]
Compensators
All of the topics covered in the Control System Tutorial, including the Introduction to Control Systems, Classification, Transfer Function, Signal Flow Graphs, Mason Gain Formula, Block Diagram, State Space Model, and more, are included in our tutorial.
The compensator is an extra part that is introduced to the control system’s structure throughout its redesign. It is included in order to make up for the system’s poor performance. A compensator can be mechanical, electrical, hydraulic, or any combination of these.
Table of Content
- What is a Compensator?
- Types of Compensator
- Gain Cross over point
- Phase Lead and Phase Lag
- Examples
- Advantages of Compensator
- Disadvantage of Compensator
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