The transfer function of a system is given by: G(s) = 50(s + 2) / s(s + 10) Using the asymptotic (straight-line) approximation, draw the Bode plot for this system. Choose semi-log graph paper of an appropriate number of cycles.
Added by Francisco C.
Close
Step 1
First, we need to find the magnitude and phase of the transfer function. Magnitude: |G(jω)| = 50 |(jω + 2)/(jω)(jω + 10)| |G(jω)| = 50 |(jω + 2)/(jω^2 + 10jω)| |G(jω)| = 50 |(jω + 2)/(jω(jω + 10))| |G(jω)| = 100/(ω√(ω^2 + 100)) Phase: ∠G(jω) = -90° - Show more…
Show all steps
Your feedback will help us improve your experience
Madhur L and 65 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
a. Calculate the bandwidth of the system with transfer function: G(s) = 100 / (s^2 + s + 100) b. Sketch the Bode plot of the system with transfer function: G(s) = 60 / ((s+2)(s+15))
Adi S.
For the transfer function a. Determine the normalized (proper) form of the transfer function. b. Using the semi-log charts on LMS, sketch the magnitude and phase responses for each term and then frequency. c. Provide the Bode diagram from MATLAB using the bode command to verify your final sketch shape.
Madhur L.
Sri K.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD