Given the following characteristic equation: 1+K/S(S2+2S2+8S+5)=0 (a) Using Routh method determine the range of K for which this closed loop system is stable. (b) Find the value of K for which the system has purely imaginary roots and determine the corresponding frequency of oscillations.

Given the following characteristic equation: 1+K/S(S2+2S2+8S+5)=0 (a) Using Routh method determine the range of K for which this closed loop system is stable. (b) Find the value of K for which the system has purely imaginary roots and determine the corresponding frequency of oscillations.

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter29: Dc Generators

Section: Chapter Questions

Problem 16RQ: Explain the difference between cumulative- and differential-compounded connections.

See similar textbooks

Related questions

Q: T(s) V(s) K,s+K, Tm e L,s+R, Js+b 1) Obtain the closed-loop characteristic polynomial for the above…

Q: Enter the value of the K coefficient required for the marginally stable/unstable system of a system…

Q: 1 G(s) 3 +3s2 + 2s +1 10 C(s) s+3

Q: Q: For the system shown in figure (2) with derivative feedback. (1) Determine the value of (K and A)…

A: Given block diagram is derivative feedback. Find the unknown value of A and K. Where damping ratio…

Q: Figure 4(b) is the Miller equivalent circuit of the circuit in Figure 4(a). Derive a relationship…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Assume that the Nyquist diagram of a given open-loop system G(s) looks like the following figure…

A: Assume that Nyquist diagram of a open loop system G(S) looks like the diagram as shown in the…

Q: 4. For the system given below R(S) D(s) G(S) 5 (S+2)(S+3) * C(s) D(s) == G(s) = a) Identify system…

A: As per the policy of bartleby the provisions is to solve only 3 subparts of questions now I am…

Q: 2. The ailerons of a large airliner are positioned through an angle 8a by servo actuators which…

Q: The second order system is presented in Fig. 1. R(s) E(s) Y(s), s(s+2C0,) Figure 1: Second order…

Q: Draw the Root-Locus graph of the closed loop system, whose block diagram is given below. (calculate…

A: Given Transfer function The characteristic equation

Q: The control system G(s) = Kp / s (s+2) (s+6) has a unity feedback a. Kp is variable, discuss…

A: Here given G(s) = Kps(s+2)(s+6)For the negative unity feedback system the characteristic equation…

Q: (a) A rotational mechanical system is shown in Fig. 3. Given the inertia value, J, is 1kgm2, the…

Q: nside a system contains two small discrete time systems X and Y. X: y[n] = ax[n] + bx[n-1] +…

Q: A certain control system has the following specifications: rise time tr ≤ 0.01 sec, overshoot Mp ≤…

A: As peak overshoot is given then the damping ratio is given as

Q: - 2 B = 0,C = [1 1 0] Lo] -1 Q2/ The system described by:A = - 1 1 1 - 1 Determine the state…

A: Given: A=-1-2-20-1110-1, B=200, C=110

Q: Problem 1. For the feedback control system given, where R(s) C(s) G.(s) G,(s) 1 G.(s) = K(s+ 10) and…

A: "According to the company's policy, we will provide solution of first three subparts , if you want…

Q: a) Find the settling time, peak time, percent overshot for the following system G(s)=- s2+b1s+bo…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 3. Consider the system given in Figure 215, where (s+25) +10s +355 +50s+24) Figure 2.15 Queston a…

Q: Consider the closed loop system given by: C(s) R(s) s? +2Ç0,s+@, Determine the values of and @n so…

A: Given Maximum overshoot = 5% Settling time = 2 sec (+/-2%)

Q: For each of the following characteristic equations, a) Sketch the root locus plot for 0 < K< b) Find…

A: "Since you have posted a question with multiple sub parts we will solve first three subpart for you…

Q: 01: Consider the closed loop system that shown in Fig.(1): K R(s) Cis) s(Ts+1) H(s) Fig.(1) The…

A: NECESSARY CONDITIONS FOR STABILITY: All the coefficients of the Characteristics equation are…

Q: The closed-loop systems in all problems are represented by the following block diagram: R(s) K G(s)…

Q: Sketch the root locus of a system shown below, clearly label the following: R(s) + K(s + 3) C(s) s(s…

A: The close loop control system is shown The open loop transfer function is Gs=Ks+3ss+1s+2s+4.…

Q: Problem 1. For the feedback control system given, where R(s) G,(s) 1 G.(s) = K(s + 10) and G,(3) =;…

Q: The characteristic equation of a feedback control system is given by (3 + 4s+ 4) (s+ 11s+30) + Ks +…

A: ROOT LOCUS: The root locus technique is used to determine the stability of a closed-loop control…

Q: (c) Marlia has developed closed loop system for hydraulic arm for stable positioning. The closed…

Q: A permanent magnet brushed DC motor (the type of motor that spins when connected to a constant…

Q: 9. The characteristic equation of the closed-loop system is s3 + 3s? + 3s + 15 = 0 Applying the…

Q: The forward path transfer functlon of unity feedback control system is given by Obtain an expression…

Q: Assume that the Nyquist diagram of a given open-loop system G(s) looks like the following figure…

A: Control systems are represented by transfer function. This can be written in both time domain and…

Q: 5.) Sketch the positive root locus for the system shown below. Determine the required value of K so…

A: Given the block diagram: We need to sketch the root locus for the system. We need to determine the…

Q: 3 The open loop transfer function of a humanoid's arm control system is given as: K G(s) = s(s + 2s…

A: Procedures to construct Root Locus: To develop a root locus, we follow the steps described below.…

Q: Problem 1. For the feedback control system given, where R(s) C(s) G.(s) Gp(s) 1 G.(s) : = K(s + 10)…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 5. The characteristic equation of a system is given as s'+25s²+10s+50-0. What is the number of the…

A: As per the company policy, experts are allowed to answer only 1st Question, if multiple questions…

Q: Consider the system given below. r(t) y(t) G. Gp K Ge(s) Where, 1 Gp(8) (s + 1)(s + 5) 5) Find the…

A: In this question we have to find the range of k for which the closed loop sysytem is stable,The…

Q: 4 (b) A Linear time Invariant systems is described as: y[n] = y[n-1] + y[n-2] + x[n-1] Find the…

A: According to question: i) The system transfer function is calculated as

Q: 6) A certain control system has the following specifications: rise time t, s 0.01 sec, overshoot Mp…

Q: 4. A laser guidance system was used to control the boring machines drilling the channel tunnel to…

Q: Marlia has developed closed loop system for hydraulic arm for stable positioning. The closed loop…

Q: or the loudspeaker shown below, the input to the system is the voltage e,(t). The output is the…

Q: 03: For system shown in Fig.(2) below: R(s) 11 s+10 h →C(s) Fig. (2) What is the value of h that…

A: Steady State Error : When the output response is not similar to the input given to the system in…

Q: T(s) K,s+K, V Tm Va(s) Js+b L,s+R, K Obtain the closed-loop characteristic polynomial for the above…

A: Since you are not mentioning which of these questions you want we will answer first one for you…

Q: A unity feedback control system is shown below, where G. represents the controller and G represents…

Q: the following unity feedback system: R(s) 4. Y(s) s+1 (1) What is the characteristic equation? (2)…

A: In this question we will find transfer function , steady state error etc....

Q: a. Determine the closed-loop characteristic polynomial for the model shown in Fig. 3. s+ 0.6 k s+1…

A: NECESSARY CONDITIONS FOR STABILITY: All the coefficients of the Characteristics equation are…

Q: B-A closed – loop system has a characteristic equation q(s) = s6 + 9s5 +31.25s + 61.25s + 67.75s2+…

A: Find the stability of the given characteristic equation ?

Q: Given the characteristic equation of a closed loop system :'+3: + 2kz +k =0 Q25. The system is…

Question

100%

Given the following characteristic equation:

1+K/S(S²+2S²+8S+5)=0

(a) Using Routh method determine the range of K for which this closed loop system is stable.

(b) Find the value of K for which the system has purely imaginary roots and determine the corresponding frequency of oscillations.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

By plotting the root locus of the system given as the open loop function : G(s)= K/(s*(s+2)); a) When K=4, show the locations of the closed loop poles on the root locus. Determine the Damping Ratio and Natural Frequency values in this gain value. b) Calculate the unit step response of this closed-loop system by calculating the Percent Overshoot, Peak, and Settlement Time values and plot them to scale. c) Scan the region on the root locus where the pairs of conjugate poles must be in order for this inspected system to work at least in the success criteria (greater than the calculated damping rate and natural frequency) in (a).
G(s)=((s+1)*(s+15))/((s+0.1)*(s+2.5)*(s+120)*(s+240)) 1-draw nyquist 2- Nyquist criterion, compute the number of unstable poles of the closed loop system as a function of K 3-determine for which values of K the closed system is stable.
The closed loop pitch rate control of an airplane operating at a certain altitude and sound speed is shown in the following blog diagram as a representation. Features expected from this system ωIt is known that n>2 and ζ≥0.15. Accordingly, G Assuming c(s)=K, find the K value corresponding to the maximum ζ value that can be used by plotting the root-locus curve of this system. It should be taken into account that the system should be stable.
Consider the system below. For this question, let C (s) = K, in this question K is a positive real number. a) Prove that if the root locus of the system is drawn, the points s1,2=−0.3214 ± 2.8951j will be on the curve. (Show it by doing mathematical calculation without drawing the curve.) b) Draw the root locus of the system. c) It is desired that the dominant (= near the imaginary axis) poles of the closed loop system be at the points s1,2= −0.3214 ± 2.8951j. What should K be for this? What can be said about the stability of the closed loop system for this K value? d) What are the unit step, ramp and parabolic reference tracking errors of the system for K in the option c?
Draw the Root-Locus graph of the closed loop system whose block diagram is given below. (number of branches, asymptotes Calculate the values of the angle and intersection point, the point where it intersects the imaginary axis, the split point)
Select the forward path gain (M ktop) for the system for the SFG diagram given below
A closed loop system with G(s) = k / [ (s+3)(s+4)(s+12) ] has its dominant poles placed so the ratio of the imaginary to real parts is -1.423. If the value of the real part is -3.3, what is the angle of the system. Draw the Root Locus showing all important points/data
Explore the challenges and benefits of implementing power electronics-based grid solutions like STATCOM (Static Synchronous Compensator) for voltage control and stability.
In order for the closed loop system, whose block diagram is given below, to be stable, the parameters K1 and K2 must be determined. Calculate the values it will take. Draw the graph of the stable region in the K1-K2 plane. (Hint: Routh-Hurwitz use the method)
Which row represent the most stable system and why? nyquist and root locus plot attached.
The structural engineering design section within the engineering department of a regional electrical utility corporation has developed several standard designs for a group of similar transmission line towers. The detailed design for each tower is based on one of the standard designs. A transmission line project involving 50 towers has been approved. The estimated number of engineering hours needed to accomplish the first detailed tower design is 126. Assuming a 95% learning curve, a. What is your estimate of the number of engineering hours needed to design the eighth tower and to design the last tower in the project? b. What is your estimate of the cumulative average hours required for the first five designs?
The control system G(s) = Kp / s (s+2) (s+6) has a unity feedback a. Kp is variable, discuss stability by using Routh Hurwitz method. Mark the poles ofthe system on root-locus curve below. b. When Kp = 26.7 , roots of the characteristic equation becomes s1= -0.6-1.89i, s2= -0.6+1.89i and s3= -6.8. Are you happy about this case? How do you evaluate,why ? c. How the root locus and step response would be effected by adding a controller Gc= Kp ( s + 0.5)2/ s . Give a comment about the addition of Gc on root locus andon step response.