Describe the nature of the second-order system response via the value of the damping ratio for the systems with transfer function 1. $G(s) = frac{12}{s^2 + 8s + 12}$ 2. $G(s) = frac{16}{s^2 + 8s + 16}$ 3. $G(s) = frac{20}{s^2 + 8s + 20}$
Added by William M.
Close
Step 1
- \(\zeta\) is the damping ratio. ### Step 2: Compare Given Transfer Functions with the Standard Form The given transfer functions are: Show more…
Show all steps
Your feedback will help us improve your experience
Keerti J and 82 other Physics 101 Mechanics 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
Sri K.
The transfer function of the control system is given by T(S) = C(S)/R(S) = 32/(4s^2 + 12s + 256) a. Find the natural frequency (ωn) and damping ratio (ζ). b. Calculate the peak time (Tp) and settling time (Ts). c. Determine the value of percent overshoot (%OS). d. Calculate the rise time (Tr). e. Based on the value of damping ratio (ζ), the system is: a) Overdamped c) underdamped b) Critically damped d) undamped
Madhur L.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Watch the video solution with this free unlock.
EMAIL
PASSWORD