UrgentQuestion 4 Considerthe plant with the following transfer function1G(s)=(s + 3) (s + 6)Consider a unity feedback control system. Synthesize a controller C(s) such that the closed-loop polynomial is Arr(s) = (s + 2)²(s+8) 2 and the steady-state error to a unit step input is zero.OOOC(s)C(s) =C(s)=C(s)==C(s) =s²+122s+256s(s+17)15s²-13-14s(s+11)55s²+498s+1024(.+15)15s²+122s+256s(s+11)87s²+778s+1600s(s+19)

Answered: Image /qna-images/answer/32375e36-a0a4-4a65-8fce-e58cd91bae72.jpg

Consider the plant with the following transfer function G(s) = 1 (s+3)(s+6) Consider a unity feedback control system. Synthesize a controller C(s) such that the closed-loop polynomial is Acr(s) = (s + 2)²(s+8)² and the steady-state error to a unit step input is zero. O O O O C(s) = C(s) = C(s) = C(s) = C(s) = ²+122s+256 s(s+17) 15²-13-14 s(+11) 55+498+1024 *(x+15) 15+122s+256 a(+11) 87+778+1600 als+19)

Consider the plant with the following transfer function G(s) = 1 (s+3)(s+6) Consider a unity feedback control system. Synthesize a controller C(s) such that the closed-loop polynomial is Acr(s) = (s + 2)²(s+8)² and the steady-state error to a unit step input is zero. O O O O C(s) = C(s) = C(s) = C(s) = C(s) = ²+122s+256 s(s+17) 15²-13-14 s(+11) 55+498+1024 *(x+15) 15+122s+256 a(+11) 87+778+1600 als+19)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

4. We are dealing with a position control system. Assuming that we have position sensing and feedback, using the transfer function Go,v(s) as the plant model redraw the block diagram to represent a position feedback control system.
Chose True or False * True False If a system is subjected to step input, the type of static error coefficient performs the function of controlling steady state error is position. If a type 1 system is subjected to parabolic input, the value of steady state error will be zero . The elements of rotational motion are the Mass, Spring, Friction. the notation represents the feedback path in closed loop system is c(t). The output signal is fed back at the input side from the Summing point. In an integral controller the output is proportional to integral of input. Two loops are said to be non- touching only if no common Branch exists between them. In block diagram representation, the lines connecting the blocks, known as branches. Order of the system can be determined from the e forward path transfer function of the system. A system with transfer function 1/Ts+1, subjected to a unit step input to reach 63.2% of final value, The value of t is T/2.
HG(s) = QUESTION 6 s²+4s+5 Consider the root locus of a unity feedback system that has the open loop transfer function shown below. Find the break point. K(s+1) ² $3 HG(s) = AKI a... bmit. Click Save All Answers to save all answers.
py Consider the feedback system is shown in following figure. The system has two parameters, the controller gain K and constant 7 R(s) 4 C(s) K s(s+ 47 +1) (1) Find the transfer function. (2) When t = 0 and K=1 Determine the overshoot M, and setting time t̟ at A=+2%.
Consider the feedback system is shown in following figure. The system has one parameters R(s) C(s) 10 s(s+1) TS (1) Find the transfer function. (2) When 70 determine the overshoot M, and setting time t at A = +2%. (3) Find the value to determine the overshoot Mp = 10% and tp = 1s
Steady state errors are only for . .... the open loop systems O none of the mentioned the non-unity feedback systems O the unity feedback systems O O
a) Consider the feedback system in Figure Q4 with controller G (s)=- and plant s+a 100 G,(s)=- s+25 Specify K and a of G,(s) such that the overall closed-loop response to a unity step reference input has a maximum percentage overshoot (%OS) of 25% and a 1% settling time of 0.1sec. [Hint: use the approximate relationship %OS = 1 x100% ] 0.6 b) To make the steady-state error to a unit step reference input zero, add an integrator to K. the controller of Q4a, i.e. G,(s)=- Assuming that a has the value derived in s(s+a) Q4a do the following: (0 Draw the root-locus of the closed-loop system, as K takes all positive real values, by computing the locus on the real axis, the angles of asymptotes, the point of intersection of the asymptotes with the real axis and the break points. Show clearly with arrows the direction of the loci. (ii) Find the value of K so the closed-loop system becomes marginally stable. In that case compute the points of intersection of the loci with the imaginary axis.…
(Stability of a Feedback System) The open-loop transfer function of a system is given as: G(s) 2s3 + s² + 14s a) Draw a unity feedback system with a gain K and open-loop transfer function G(s). Indicate the name (e.g. E(s),..) of each arrow. Find the closed-loop transfer function T(s). b) of terms. Build the Routh table for the closed-loop system by clearly showing the calculation c) Analyze the stability of the closed-loop system and find the range of K for stable operation. Justify your answer.
QUESTION4 Consider the feedback system in the figure with G(s) Using the Ziegler-Nichols Oscillation Method. %3D (s+1)(s+3)(s+10) for an ideal PID controller C(s) - K, ++ Kps determine the gains K K, and K. Choose the closest set of gains. C(s) G(s) OK, - 18, K, = 12.81, K, = 6.32 O Kp = 4.80, K, = 2.65, Kp = 2.18 O Kp - 47.52, K, = 85.57, K, - 12.60 %3D O K, - 68.64, K, = 143.27, Kp = 8.22
A feedback system signal flow graph diagram shown in figure below. The number of the forward path is -H2 GA )s(ر مل G3 G7 R1(s)< -1-1 G8 G6 G2 R2(s).
For a lead compensator whose zero is (-2,0) is used in a feedback control system to provide a phase lead of 45 .for desired pole location (S1=-2+3.3j), that represents the design specifications, this compensators pole is at
In the feedback system shown in Figure Q3, the controller and the plant have the following transfer functions respectively: (s+4) (s+1)(s+2)(s+3) G.(s) = K>0 and G,(s) = Answer the following for this feedback configuration: a) Calculate the closed-loop transfer function. b) By using the Routh-Hurwitz criterion find the values of the controller gain K such that the closed-loop system is BIBO stable. c) Compute the steady-state error to a unit step reference input as a function of the controller gain K. d) Assume now a PI controller G.(s)=K, 1+ is used instead of the constant gain K. Ts Calculate the steady-state error to a unit step reference input. Is your result in agreement with the "internal model principle"? R(s)+ E(s) Y(s) G.(s) G,(s) Figure Q3: Unity feedback system