ZuoTi.Pro
Question

6-5. Given the forward-path transfer function of unity-feedback control systems, Kis + 4/s + 20) Kls + 10) s + 20) (a) G(s) +

Can you please explain how to work these problems by doing at least one of them fully with explanation? Also I thought Routh-Hurwitz only uses the denominator, so how can I answer be a function of K?

engineering   Electrical-Engineering   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

GCS) = H(S): 1 к S(S+10)(8+20) Characteristic Equation is 1+ GISSH (S) - D. 1tk. Sistio) (s+20) S(stio) (s+20) + kao $ (5+105To get Sulstained oscillations 600-K 50: >> K =600 30 Kemarginal - 600. To find the fresuency 305² + Kmary co 30s + 600 -0. 3

0 0
Add a comment
Know the answer?
Add Answer to:
Can you please explain how to work these problems by doing at least one of them...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

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

  • control system

    Screenshot (69).pngScreenshot (70).pngScreenshot (68).png1. The open loop transfer function of a unity feedback system is given by \(\frac{K}{(S+2)(S+4)\left(S^{2}+6 S+25\right)}\).By applying routh criterion, discuss the stability of the closed loop system as a function of \(\mathrm{K}\) which will cause sustained oscillations in the closed-loop system. What are corresponding oscillation frequencies.

  • (20 pts) System Design Using Routh-Hurwitz Criterion: one of the reasons we learn Routh-Hurwitz C...

    (20 pts) System Design Using Routh-Hurwitz Criterion: one of the reasons we learn Routh-Hurwitz Criterion is that it can help us select the system parameters to make the system stable. In this problem, we will go over this process. Considering a system with the following transfer function: 1. s +2 G(s) = s4 +5s3 2s2 +s + K 1.1 Work out the Routh-Hurwitz table. Note in this case, you will have the unknown parameter K in the table. 1.2 Based...

  • 3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given...

    3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given by G(s) and the sensor transfer function is given by H(s). R(s) C(s) G(s) H(s) Figure Q3 It is known that G(s) -- K(+20) S(+5) H(s) = and K is the proportional gain. (S+10) i. Determine the closed-loop transfer function and hence the characteristic equation of the system. [6 marks] ii. Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system. Determine the...

  • answer ASAP 2. (20 points) Consider the following unity-feedback system. Suppose G(s) sis+45+6s+4) R) Ets) G(s)...

    answer ASAP 2. (20 points) Consider the following unity-feedback system. Suppose G(s) sis+45+6s+4) R) Ets) G(s) A. Check the stability of the closed-loop system by using Routh-Hurwitz Criterion. B. Find the steady-state error when the input is a unit step function.

  • control systems 1) Using Routh Hurwitz Stability Criteria, determine whether the following system of equation is...

    control systems 1) Using Routh Hurwitz Stability Criteria, determine whether the following system of equation is stable or not. a) S4+253+3S2+45+5=0 2) Using the Routh Hurwitz stability criterion, determine the range of K for stability of the following characteristic equation. a) s4+2s8+(4+K)s2+9s+25=0 3)Sketch the root-locus of the following systems a) G(s)H(s) = s(s+1)(s+2) b) G(s)H(s) = 52(8+3.6) K(5+1)

  • 1- [a] For positive values of K, plot the root locus for a unity negative feedback...

    1- [a] For positive values of K, plot the root locus for a unity negative feedback control system having the following open-loop transfer function: K G(s)= (5 + 1)(8 + 4)(8 + 7) For what values of gain K does the system become unstable? Find also the value of k at which the damping ratio is 0.5 and the closed loop poles. (25%) [b] The characteristic equations of linear control systems are given below. Apply Routh-Hurwitz criterion to determine the...

  • Discuss the mathematical requirements for stability in a linear feedback system and state the Rou...

    Discuss the mathematical requirements for stability in a linear feedback system and state the Routh Stability criterion. (6 marks) (a) The open loop transfer function of a control system with unity feedback is given by: (b) 35 s(1 + Ts) (1 +0.25s) G(s) - Use Routh's criterion to determine the value of T for which the closed loop system is marginally stable. (8 marks) i Use the Nyquist criterion to confirm the values obtained in (i). (8 marks) ii Sketch...

  • Question 2 System Stability in the s-Domain and in the Frequency Domain: Bode Plots, Root Locus...

    Question 2 System Stability in the s-Domain and in the Frequency Domain: Bode Plots, Root Locus Plots and Routh- Hurwitz Criterion ofStability A unit feedback control system is to be stabilized using a Proportional Controller, as shown in Figure Q2.1. Proportional Controller Process The process transfer function is described as follows: Y(s) G(s) s2 +4s 100 s3 +4s2 5s 2 Figure Q2.1 Your task is to investigate the stability of the closed loop system using s-domain analysis by finding: a)...

  • NASC NESSARY & sufficient criterior Use the Routh - Hurwitz technique for the Derive the N.A.S.C....

    NASC NESSARY & sufficient criterior Use the Routh - Hurwitz technique for the Derive the N.A.S.C. for a 5th order system with arbitrary coefficients {an.... a3 (n=5). Clearly state the conditions on the a.). - Assess the stability and state the N.A.S.C. for each system in #p6ol, page 405 (also shown on Canvas in Files Homewor. of the text. Note: This problem has parte "a)" through "g). [Routh- Hurwitz is optional for 3.] - For a system given as: y...

  • Q2 (a) List down THREE (3) important requirements to design a control system. (3 marks) State...

    Q2 (a) List down THREE (3) important requirements to design a control system. (3 marks) State the possible consequence when a physical system becomes unstable. (2 marks) (6) (c) Consider the following characteristic Equation shown below: P(s) = 55 +683 + 582 +8s + 20 (1) Construct Routh table for the characteristic Equation. (6 marks) (ii) Using the Routh – Hurwitz criterion, determine the stability of the system. (2 marks) (ii) Determine the numbers of roots on the right half-plane,...

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