Question

A unity feedback system with the forward transfer function G(s)=K/(s+1)(s+3)(s+6) is operating with a closed-loop step response that has 15% overshoot. Do the following:

a) Evaluate the steady-state error for a unit step input

b) Design a PI control to reduce the steady-state error to zero without affecting its transient response

c) Evaluate the steady-state error and overshoot for a unit step input to your compensated system

A unity feedback system with the forward transfer function G(s) is operating with a closed-loop step response that has 15% ov

1 0
Add a comment Improve this question Transcribed image text
Answer #1

2 on hot lous RL Bhiak ()4b) 5+45 245 354183 3-33 亡凸, 2 2. 2 hnd e S=ネ5-191inlesse ohe Root Lus ha e kums a ะ 34-34- bu -343 ltIVh ald) = 34-34 二34.34- 2-31+3)(-1.4t 2-3(+6) סין2432-3 (+4-t 2-3 )(2. Ad sing ー_ sun (1 리, 32MB2-39) _ zle.iz6los(.21.3) 34 3 4 Stelz)

Add a comment
Know the answer?
Add Answer to:
A unity feedback system with the forward transfer function G(s)=K/(s+1)(s+3)(s+6) is operating wi...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A unity feedback system with the forward transfer function G)2)(s +5) is operating with a closed-...

    A unity feedback system with the forward transfer function G)2)(s +5) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input; b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control. A unity feedback system with the forward transfer function G)2)(s +5) is operating with...

  • A unity feedback system with the forward transfer function G (s) = s(s+2)(s15) is operating with ...

    A unity feedback system with the forward transfer function G (s) = s(s+2)(s15) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control. A unity feedback system with the forward transfer function G (s) =...

  • PROBLEM: A unity feedback system with the forward transfer function K G(s) s(s+7) is operating with...

    PROBLEM: A unity feedback system with the forward transfer function K G(s) s(s+7) is operating with a closed-loop step response that has 15% overshoot. Do the following: a. Evaluate the steady-state error for a unit ramp input. b. Design a lag compensator to improve the steady-state error by a factor of 20. c. Evaluate the steady-state error for a unit ramp input to your compensated system. d. Evaluate how much improvement in steady-state error was realized.

  • 1. Consider a unity feedback control system with the transfer function G(s) = 1/[s(s+ 2)] in...

    1. Consider a unity feedback control system with the transfer function G(s) = 1/[s(s+ 2)] in the forward path. (a) Design a proportional controller that yields a stable system with percent overshoot less that 5% for the step input (b) Find settling time and peak time of the closed-loop system designed in part (a); (c) Design a PD compensator that reduces the settling time computed in (b) by a factor of 4 while keeping the percent overshoot less that 5%...

  • Problem 1. A unity feedback system with forward transfer function G(s) is operating with a closed...

    Problem 1. A unity feedback system with forward transfer function G(s) is operating with a closed-loop step response that has 20.5% overshoot. G)-(+8)6 + 25) G(s) (a) Design a PD compens ator to decrease the settling time of the closed-loop system by a factor of four Problem 1. A unity feedback system with forward transfer function G(s) is operating with a closed-loop step response that has 20.5% overshoot. G)-(+8)6 + 25) G(s) (a) Design a PD compens ator to decrease...

  • 17. Consider unity feedback system with uncompensated forward transfer function a given by: K G(s) s+3)(s 6) The system...

    17. Consider unity feedback system with uncompensated forward transfer function a given by: K G(s) s+3)(s 6) The system requires a damping ratio of 0.5. If the design point is at -1.54 j2.66, design a PI controller to drive the steady-state error of the response to zero 17. Consider unity feedback system with uncompensated forward transfer function a given by: K G(s) s+3)(s 6) The system requires a damping ratio of 0.5. If the design point is at -1.54 j2.66,...

  • 1. A unity feedback system with its forward transfer function G(s) - K(s+a)/s(s+B) is to be...

    1. A unity feedback system with its forward transfer function G(s) - K(s+a)/s(s+B) is to be designed to meet the following requirements: (1) the steady-state error for a unit ramp input equals to 0.1 and (2) the closed-loop poles will be located at -1 + j1. Find K, a, and B in order to meet the specifications. (12 points) 2. Given a unity feedback system with its forward transfer function G(s) shown below: s" (s +a) Find the values of...

  • K and consider a PI s+4 A unity feedback system has an open loop transfer function G(s) [4] S+a controller Ge(s) S Sele...

    K and consider a PI s+4 A unity feedback system has an open loop transfer function G(s) [4] S+a controller Ge(s) S Select the values of K and a to achieve a) (i) Peak overshoot of about 20% (ii) Settling time (2% bases) ~ 1 sec b) For the values of K and a found in part (a), calculate the unit ramp input steady state error K and consider a PI s+4 A unity feedback system has an open loop...

  • Problem 3 A unity feedback system has the loop transfer function G(s) = Kata) s(s +...

    Problem 3 A unity feedback system has the loop transfer function G(s) = Kata) s(s + (a) Find the breakway and entry points on the real axis. (b) Find the gain and the roots when the real part of the complex roots is located at -2 (c) Sketch the root locus. Problem 4 The forward path G(s) of a unity feedback system with input R(s) and output Y (s) is given by G(o) 106I) (a) What is the type of...

  • [7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root lo...

    [7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus of the system with the gain Kas a variable. s(s+4) (s2+4s+20) Determine asymptotes, centroid, breakaway point, angle of departure, and the gain at which root locus crosses ja-axis. A control system with type-0 process and a PID controller is shown below. Design the [8 parameters of the PID controller so that the following specifications are satisfied. =100 a)...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT