Gain Margin
The gain margin is the amount of open loop gain that can be increased before our system becomes unstable.
It can be calculated from the gain at the phase cross-over frequency.
Gain Margin (GM): [Tex]\frac{1}{|G(jw)H(jw)|}_{w=w_{pc}} [/Tex]
Phase crossover frequency:
It is the frequency where the phase angle of G(s) H(s) is -180 degrees as seen in the figure 1.
∠G(jω)H(jω)∣ω=ωpc= -180∘
Bode Plots in Control System
Bode plots describe the linear time-invariant systems’ frequency response (change in magnitude and phase as a function of frequency). It helps in analyzing the stability of control system. It applies to the minimum phase transfer function i.e. (poles and zeros should be in the left half of the s-plane).
In this article, we are going to learn what is Bode Plot and Types of Bode Plots and how to draw Blode plot and parameters of Bode plot, we are going to learn what is Phase and Gain Margin and what are the advantages and disadvantages of Bode plots in Control System.
Table of Content
- What are Bode Plots?
- Types of Bode Plot
- How to draw Bode Plot?
- How to read Bode Plots?
- Phase and Gain Margins
- Advantages
- Disadvantages
- Solved Examples
- FAQs