Problem 6. Determine the step, ramp and parabolic error constant of the following unity-feedback control systems. The forward path transfer functions are given. \begin{align*} a)G(s) &= \frac{1000}{(1+0.1s)(1+10s)}\\ b)G(s) &= \frac{K(1+2s)(1+4s)}{s^2(s^2+s+1)} \end{align*}
Added by Kristina D.
Close
Step 1
The step error constant, Kp, is the value of the steady-state error when the input is a unit step function (1/s). To find Kp, we need to evaluate the transfer function G(s) at s = 0. G(s) = (1 + 0.1s)(1 + 10s) / (s^2(s^2 + s + 1)) At s = 0, the transfer Show more…
Show all steps
Your feedback will help us improve your experience
Darshan Maheshwari and 88 other Physics 102 Electricity and Magnetism 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
Find the steady-state error for unit step input, unit ramp input, and unit parabolic input (r^(1/2)t) for unity feedback systems that have the following forward transfer functions: G(s) = (s + 2) (s^2 + s + 4) G_i(s) = s(s + 2)(s + 2 + 21i) C_i(s) = 3(s + 4)(s + j)(s + 120)
Sri K.
E5.13 For the system with unity feedback shown in Figure E5.11, determine the steady-state error for a step and a ramp input when G(s) = 20 / (s^2 + 14s + 50) Answer: ess = 0.71 for a step and ess = ∞ for a ramp. FIGURE E5.11 Unity feedback system.
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