Q9 only Common data for Q8-Q98) A certain plant with a transfer function4-2sG(s) =s2+s+9is in a unity positive feedback system with aproportional controller Kp . Use MATLAB todetermine The value of K such that theclosed-loop system will have a damping ratio of0.707 is9) For the system in Question 8, the steady stateerror of the closed-loop system to a step inputis

Given G(s)=4-2ss2+s+9proportional controller kpdamping ratio ζ=0.707

Answered: Common data for Q8-Q9 8) A certain…

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...

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An uncompensated unity feedback system with certain deficiencies has no zeroes and poles at -1, -2 and -5. Answer the following questions based on the above description of the system Determine using an apt technique, the gain of the system at damping ratio 0.45
The control system manages, commands, directs, or regulates the behavior of other devices or systems using control loops. State the advantages of implementing negative feedback in a closed-loop system. Then Write the corresponding differential equation for the transfer function given, Specify the assumption made for the solution.
A unity feedback system with forward transfer function below G(s) = K/(s(s+6)).is operating with a closed-loop step response that has 15% overshoot. Please solve for the following:a. Evaluate the settling time. b. Evaluate the steady-state error for a unit ramp input. c. Design a lag-lead compensator to decrease the settling time by 2 times and decrease the steady-state error for a unit ramp input by 10 times. Place the lead zero at -3.
For the electric circuit given in the figure;a) Obtain the transfer function between V2(s) and V1(s).b) Calculate the gain value and time constant of the system in steady state as C=2MicroFarad, R1=R2=1Mohm.c) According to the values given in option B, obtain the expression to be obtained at the output for the unit step input by using the residual sum method.
a) Explain the drawing rules and formulas of the Nyquist curve. b) G(?)=K [(S−1)(S−2) / (S+2)(S+3)] ; Construct nyquist curves for K=1, 5/3, 9 values. Write down the Nyquist stability criterion and explain whether the system is stable or not. c) Define the gain and phase margin, this time on the nyquist curve.
. Question 05: Consider the following open loop transfer functions:i) Classify with respect to damping (substantiate the answer by the position of the closed-loop poles) and, when applicable, calculate tp, ts (2% criterion), tr and Mp. ii) Calculate the steady-state value of the system response, in closed loop, when the input is a step of amplitude equal to two;
. Question 05: Consider the following open loop transfer functions: i) Classify with respect to damping (substantiate the answer by the position of the closed-loop poles) and, when applicable, calculate tp, ts (2% criterion), tr and Mp. ii) Calculate the steady-state value of the system response, in closed loop, when the input is a step of amplitude equal to two;
Discuss the concept of unit-step, impulse and sinusoidal response and provide at least one example or application. ( I want theory without Plagiarism )
Ex. 449. K*G(s)=K*1/(s(s+3)(s+6)) is the FTF of a unity-feedback closed-loop system. Calculate the asymptote centroid and show it on a professional root locus plot. Draw the asymptote plot separately. Determine the break-away point and K at the break-away point and show both on the plots. Formal documentation required. ans: 3
The unit in the figure below is given as G (s) in feedback system. When a unit ramp is applied to the input of the system, the steady-state error is 0.4% and when the unit step is applied to the input, the settlement time is desired to be 50 ms. So which of the following is a pole value of the closed-loop transfer function? G(s)=k/s(s+a)
We are now interested in studying the behavior of the rotating valve plate shaft on an ETC only. This is to evaluate the dynan1ic response of the valve plate as an input torque is given to its shaft. The valve-plate shaft can be modeled as shown in Figure 3. (a) Find the transfer function of G(s) = θ(s)/r(s) , then evaluate the stability of thesystem by identifying its poles and zeros. Plot the poles and zeros in an s-plane and characterize the step response damping type. (b) To design a responsive throttle response, the overshoot and settling time need to be set at a certain level. Considering that J and D of our system in Figure 3 can be modified, find the values of J and D to yield 20% overshoot and a settling time of 2 seconds.
Sketch the root locus given the following set of open-loop poles and open-loop zeros. State which rule you were able to apply in each case. Answer all the following question

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