In this page you can learn various important control system multiple choice questions answers, mcq on control system, short questions and answers on control system, sloved control system objective questions answers etc. Home >> Category >> Electronic Engineering (MCQ) questions & answers >> Root Locus; 1) For a unity feedback system with G(s) = 10 / s 2, what would be the value of centroid? 10, Enter the code above here : Which one of the following statements is not correct? The limitations of root locus method for tuning PID controllers are: Not perform well on a nonlinear system. What is the Weightage of Bode and root-locus plots in GATE Exam? GATE Questions & Answers of Root Loci. the positive real axis) equal to a) ± √2 and 0 o b) ± √2 and 45 o c) ± √3 and 0 o d) ± √3 and 45 o By examining these graphs it is possible to determine the stability of different values of the control variable. The value of Kat intersection of { = 0.707 line and root locus is . Apply this method to the system in Question 1, to find the range of K>0 such that the system is asymptotically stable. Image Transcriptionclose. Then drill down to find \$\omega\$. The root locus is the part of roots of the characteristic equation traced out in the S plane. So, we can use the magnitude condition for the points, and this satisfies the angle condition. Use Following: This question hasn't been answered yet Ask an expert . 1. I place my poles, the root locus on the real axis, count the branches (four go to infinity, no zeros), find the centroid then asymptotes, find the breakouts on the real axis, find the intersection of the root locus with the imaginary axis and find the the angle of departure from the two complex poles. MathJax reference. with reasonable accuracy. Root Locus Questions And Solutions 2019 Last update: June 2020. Solution for For each root locus in Figure 1 to 4; i) Identify whether the system is stable or not based on the poles and zeros location on the s-plane ii)… a. Show Clearly All The Rules And Calculations Used To Sketch The Root Locus Diagram And To Find The Important Points. Which one of the following statements is not correct? Bounty ending soon. Root Locus - Control System Multiple Choice Questions and Answers 46. Determine all the asymptotes, points of intersection, etc. Can someone answer this root locus question. check_circle Expert Answer. Use MathJax to format equations. a) Open loop poles. The root locus of the system for varying K is shown in the figure. Root Locus Analysis • General root locus is hard to determine by hand and requires Matlab tools such as rlocus(num,den) to obtain full result, but we can get some important insights by developing a short set of plotting rules. In the root locus diagram, we can observe the path of the closed loop poles. Hence, we can identify the nature of the control system. Total 11 Questions have been asked from Bode and root-locus plots topic of Control Systems subject in previous GATE papers. Stack Exchange Network. Answer Explanation ANSWER: 0. The following tags: Apply filter. Explanation: No explanation is available for this question! Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site About Us Learn more ... (i.e. [4 marks] iii. A typical transfer function is of the form \(G(s) = Y(s)/U(s)\). 1. If the angle of the open loop transfer function at a point is an odd multiple of 180 0 , then that point is on the root locus. But avoid … Asking for help, clarification, or responding to other answers. At which of the following root loci will end ? 66) Which point on root locus specifies the meeting or collision of two poles? Ignore everything else because all the real terms equating to zero marks the position on the root locus that it crosses the imaginery axis. Read Free Locus Problems With Answers so you can download it instantly. Sketch the root locus. Root Locus diagrams are much more difficult to create for PID control. Can someone answer this root locus question. share | improve this answer | follow | edited Oct 8 '17 at 11:28. answered Oct 8 '17 at 8:06. Want to see the step-by-step answer? So, the angle condition is used to know whether the point exist on root locus branch or not. 2 c. 5 d. 10. [4 marks] ii. Use following: Show transcribed image text. So i decided to solve question with root locus too for double check and K i found on root locus plot is different than Nyquist plot and i checked with mathlab too.Did i miss something i thought root locus plot and Nyquist plot suppose to give me same answer. [4 marks] iv. Most frequent. No - the root locus is not drawn for the open-loop function. What is the Weightage of Bode and root-locus plots in GATE Exam? 48. But avoid … Asking for help, clarification, or responding to other answers. 0 b. How can I plot root locus like these system can you help me? Use MathJax to format equations. Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site About Us Learn more ... (i.e. The solved questions answers in this The Root Locus Technique - 1 quiz give you a good mix of easy questions and tough questions. The solved questions answers in this The Root Locus Technique - 1 quiz give you a good mix of easy questions and tough questions. View Answer For the system shown in the figure below, find the output, c(t), if the input, r(t), is a unit step. Question: Use Root Locus Design To Find Value Of Beta And Kc. Want to see this answer and more? Solution for Sketch the root locus plot of unity feedback system with an open loop transfer function k G(s) = s(s+5)(s+10) Find the range of k for the system to… Q19.Root locus specifies the movement of closed loop poles especially when the gain of system _____ a) Remains constant. | Coincide with zero. Visit Stack Exchange. Also draw the root locus with reasonable accuracy. for –∞ < k < 0, has break away/break in points and angle of departure at pole P (w.r.t. The value of Kat intersection of { = 0.707 line and root locus is fullscreen. 2) If poles are added to the system, where will the system tend to shift the root locus? This arises because of the angle criterion (Eq. Making statements based on opinion; back them up with references or personal experience. I want to draw the root locus by hand to have a rough idea. 5 This is - by definition - a critically damped system. Use MathJax to format equations. Which one of the following is correct ? 4 So i decided to solve question with root locus too for double check and K i found on root locus plot is different than Nyquist plot and i checked with mathlab too.Did i miss something i thought root locus plot and Nyquist plot suppose to give me same answer. 3 a) Construct the root locus for the system represented by the block diagram in Figure 2. Provide details and share your research! G (s)H (s) =K (s+b)/s (s+a) Centre = (-b,0) = (-4,0). If odd number of the open loop poles and zeros exist to the left side of a point on the real axis, then that point is on the root locus branch. The constant damping ratio line, for ζ = 0.5, intersects the root locus at point A. Solution for Sketch the root locus plot of unity feedback system with an open loop transfer function k G(s) = s(s+5)(s+10) Find the range of k for the system to… Determine the number of branches, asymptotes, their angles and intersection with the real axis, and real-axis sections that belong to the root locus. c. Find the departure and arrival angles. 47. 2) If poles are added to the system, where will the system tend to shift the root locus? a. What Does It Show? For the root locus plot shown in figure(1) a. In this technique, we will use an open loop transfer function to know the stability of the closed loop control system. See Answer. Please be sure to answer the question. Andy aka Andy aka. Z Is Given By 0.81+j0.26. Root Locus - Control System Multiple Choice Questions and Answers 46. Stack Exchange Network. Find the asymptotes. 65) For drawing root locus, the angle of asymptote yields the direction along which _____branches approach to infinity. 1. hence, Root locus, can help us in the design by selecting the operation point (that yield the required characteristics) on the root locus. (Note: You can validate the imaginary-axis crossing point using an accurate sketch.) Check out a sample Q&A here. 5) and the symmetry of the root locus. Chu Chu. Verify Your Handwritten Sketch Using MATLAB Or Other Similar Software Tools. Contact us: info@mechanicaltutorial.com. ANSWER: (b) p – z. Thank you for reading.. control-theory. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange Explanation: No explanation is available for this question! Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Question 5 a) What is root locus analysis of a system? 3. Use MathJax to format equations. Root Locus Concepts Objective Questions. Root Locus Signals and Systems: 3C1 Control Systems Handout 3 Dr. David Corrigan Electronic and Electrical Engineering corrigad@tcd.ie • Recall, the example of the PI controller car cruise control system. share | cite | follow | asked 1 min ago. Please be sure to answer the question. Hence, you have to … d) Gives infinite poles . You don't need to calculate the break-in and break-out points. MathJax reference. b) Exhibit variations. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. for which constant gain values the CLOSED-LOOP function will have poles in the "forbidden" region (right half of the s-plane). c) Both a and b. d) None of the above . Making statements based on opinion; back them up with references or personal experience. No accepted answer. Recent activity. State the rule for finding the break-away and break-in points using differential calculus. Electrical Engineering (EE) students definitely take this Test: The Root Locus And Its Concepts exercise for a better result in the exam. Question No. Question: A) Sketch The Root Locus Of The Pure Gain Compensated System In Figure Q2 When The Gain K Varies From 0 To 0. Determine the number of branches, asymptotes, their angles and intersection with the real axis, and real-axis sections that belong to the root locus. ANSWER: (c) Real but not equal. SIMPLE ANSWERS TO USUAL QUESTIONS ABOUT UNUSUAL FORMS OF THE EVANS’ ROOT LOCUS PLOT L.H.A. 6 Please be sure to answer the question. I can't figure out how to find the root locus centroid for the poles of this simple equation in a positive feedback system. Solution for For each root locus in Figure 1 to 4; i) Identify whether the system is stable or not based on the poles and zeros location on the s-plane ii)… 8 Root locus plots show the roots of the systems characteristic equation, (i.e. Solution for Which of the following is the root locus plot of the transfer function G(S) = (S+4)/(S^4−9S^2) a. p + z b. p – z c. p / z d. p x z. That means: The root locus splits up into two different parts at a pole quality factor of Qp=0.5. To Study Root Locus (Control Systems) Notes | EduRev for this is your one stop solution. Expert Answer . 2 c. 5 d. 10. 1. Has bounty. • Basic questions: 1. 162. The root locus diagram of a unity feedback control system with loop transfer function : G(s) - s(s-2) K is intersecting the line = 0.707 which is shown in figure below. The root locus diagram of a unity feedback control system with loop transfer function : G(s) - s(s-2) K is intersecting the line = 0.707 which is shown in figure below. Answer: c. Explanation: s (s+2)+K (s+4) =0. 0 b. Root Locus Concepts Objective Questions. As the output of the system is changed. Which one of the following statements is not correct? How can I plot it? Use root locus design to find value of Beta and Kc. Home; Article; Root Locus Questions And Solutions APK file 2019-2020 [latest version] The best 8 apps for Android root 2019-2020. 49. 2. Our book servers hosts in multiple countries, allowing you to get the most less latency time to download any of our books like this one. 9 locus Questions and Answers - TopperLearning locus problems with answers is available in our digital library an online access to it is set as public Page 1/3. root locus). What is the Weightage of Root Loci in GATE Exam? The distance from the origin to … Sorted by. A con-sequence of choosing the parameter for the integral control, K i, is that it a ects the location of the poles and zeros of the cruise control system on the s-plane. The system can have, < Provide details and share your research! We can find the value of K for the points on the root locus branches by using magnitude condition. Average marks 1.83. May 05, 2019 Add Comment Control Theory, Download Control Theory, Ebook Control Theory, Errol Morris Shocker Baskerville Is The Typeface Of Truth, Free Ebook Control Theory, Free PDF Control Theory, How To Create A Stack Of Books In Adobe Illustrator Vectips, PDF Control Theory, Root Locus Plot Common Questions And Answers Youtube, Self Criticism And Self Enhancement Theory Research And Question 5 A) What Is Root Locus Analysis Of A System? The root locus is the part of roots of the characteristic equation traced out in the S plane. 46. GATE Questions & Answers of Bode and root-locus plots. A have G(s)C(s)=K/(s*(s+1)) and I want a root locus in G(z)C(z). Find the imaginary-axis crossing point and the gain, K, at the imaginary-axis crossing point. Section-B: Routh's Stability (8 Marks) Questions 2: Routh's stability criterion is a method which can be used to find the stability of a linear system. Making statements based on opinion; back them up with references or personal experience. Apply this method to the system in Question 1, to find the range of K>0 such that the system is asymptotically stable. 50. Terms a. MathJax reference. For root loci which of the following are the starting points? But avoid … Asking for help, clarification, or responding to other answers. 47. The points on the root locus branches satisfy the angle condition. polynomials … How does one prove the piecewise continuity of the roots given that some of the coefficients of the polynomials are a function of a parameter (this also applies to constructing the root locus for the closed loop function)? asked yesterday. MathJax reference. a. You do not need to calculate the intersection points with the jo-axis. The characteristic equation will contain unknown variables Kc, Ti, and Td. GATE students definitely take this The Root Locus Technique - 1 exercise for a better result in the exam. This case applies to your example because we have a 3rd-order system with 3 poles including one pole pair (real or conjugate-complex, depending on the gain block K). Question No. c) Gives zero feedback . State the open and closed-loop transfer functions [G(s) and T(S)]. The main objective of drawing root locus plot is : a) To obtain a clear picture about the open loop poles and zeroes of the system. Please be sure to answer the question. This is your solution of Root Locus (Control Systems) Notes | EduRev search giving you solved answers for the same. polynomials … Section-B: Routh's Stability (8 Marks) Questions 2: Routh's stability criterion is a method which can be used to find the stability of a linear system. Provide details and share your research! [4 marks], electrical engineering questions and answers. The root locus for negative values of k, i.e. 7 A control system has G ( s ) H ( s ) = K / [ s ( s + 4 ) ( s2 + 4s + 20 ) ( 0 < K )< ∞ ) What is the number of breakaway points in the root locus diagram ? Sketch the root locus. Z is given by 0.81+j0.26. Q20.In second order system, which among the following remains independent of gain (k)? which will improve your skill. root locus). Home >> Category >> Electronic Engineering (MCQ) questions & answers >> Root Locus; 1) For a unity feedback system with G(s) = 10 / s 2, what would be the value of centroid? The root locus lies at all points on the real axis to the left of an odd number of poles and zeros that lie on the real axis. View desktop site, Question 5 a) What is root locus analysis of a system? b) Closed loop poles. Privacy Find the angles of departure and arrival from the complex poles and zeros. Loses significance at high frequencies or high degrees of damping. Average marks 1.73. GATE students definitely take this The Root Locus Technique - 1 exercise for a better result in the exam. Root Locus - Control System Multiple Choice Questions and Answers 6. Provide details and share your research! © 2003-2021 Chegg Inc. All rights reserved. which will improve your skill. But this approach begs the question, why bother to sketch the root locus in the first place? If the gain of the system is reduced to a zero value, the roots of the system in the s-plane, A. [4 marks] ii. The solved questions answers in this Test: The Root Locus And Its Concepts quiz give you a good mix of easy questions and tough questions. This set of Control Systems Multiple Choice Questions & Answers (MCQs) focuses on “The Root Locus Concepts”. b. Monteiro∗ luizm@mackenzie.br, luizm@usp.br J.J. Da Cruz† jaime@lac.usp.br ∗Escola de Engenharia da Universidade Presbiteriana Mackenzie e Escola Polite´cnica da Universidade de Sa˜o Paulo †Escola Polite´cnica da Universidade de Sa˜o Paulo ABSTRACT After a ﬁrst contact with Evans’ root … Break away point c. Stability point What does it show? pole-zeroplot root-locus. The root locus is the part of roots of the characteristic equation traced out in the S plane. a) Root loci can be used for analyzing stability and transient performance b) Root loci provide insight into system stability and performance c) Shape of the root locus gives idea of type of controller needed to meet design specification Previous GATE papers points using differential calculus for negative values of K, at the imaginary-axis crossing point the... Locus in the S plane personal experience s-plane ) marks ], electrical engineering Questions and APK. Exist on root locus in the Exam at which of the system, which among the following is... Two different parts at a pole quality factor of Qp=0.5 departure at pole (! To other answers p – z c. p / z d. p x z point -8 + j0 a... Technique - 1 quiz give you a good mix of easy Questions and Solutions 2019 Last update June. Poles are added to the system stable 8 '17 at 8:06 into two different at... View desktop site, question 5 a root locus questions and answers what is root locus is fullscreen intersection of =. 2015 - 2020 MechanicalTutorial.com this Content is copyrighted by MechanicalTutorial.com |All Rights Reserved locus for the open-loop.... System has three asymptotes - by definition - a critically damped system Rights Reserved the main purpose of root... The figure or collision of two poles polynomials … Please be sure to answer the question, bother. Of Beta and Kc the following statements is not correct polynomials … Please be sure answer! The root locus questions and answers of the Control system Multiple Choice Questions and Solutions 2019 Last update June. Points and angle of departure at pole p ( w.r.t this Content copyrighted... Answered yet Ask an expert path of the following statements is not correct been. + z b. p – z c. p / z d. p x z exist on root Questions. Rule for finding the break-away and break-in points using differential calculus 6 Questions have been asked from and! The poles of this simple equation in a positive feedback system to for... To calculate the break-in and break-out points p – z c. p / z d. p x z can it... '' region ( right half of the closed loop pole ( K ) locus is the part roots! Block Diagram in root locus questions and answers 2 one of the system, which among the following remains independent of K. Answers ( MCQs ) focuses on “ the root locus ( Control Systems subject in previous GATE papers ) a. Stability of different values of K, at the imaginary-axis crossing point and symmetry... Right half of the root locus like these system can you help me:! Is root locus is the Weightage of Bode and root-locus plots 1 min ago 66 ) which on. With answers so you can download it instantly and b. d ) None of the equation. A critically damped system root locus centroid for the open-loop function = 0.5, the! Point -8 + j0 is a closed loop Control system Multiple Choice Questions and Questions. Angle criterion ( Eq order system, where will the system in root... Break away/break in points and angle of departure and arrival from the complex poles and zeros equation traced in! Can download it instantly ( s+2 ) =0 feedback to show if resp (! System represented by the block Diagram in figure 2 poles in the S plane different... Approach begs the question ABOUT UNUSUAL FORMS of the closed loop poles break-away and break-in points using differential calculus a! By examining these graphs it is the part of roots of the angle (. With references or personal experience asymptotes, points of intersection, etc of! Gain of the following statements is not drawn for the same ’ root locus Identify the nature of the loop! The `` forbidden '' region ( right half of the following statements is correct... Is the system is reduced to a zero value, the angle of departure at pole p w.r.t... Branches satisfy the angle criterion ( Eq if poles are added to the system tend shift! Ask an expert Control Systems ) Notes | EduRev for this is your solution of locus! Positive feedback system < 0, has break away/break in points and angle of asymptote yields the direction which. Rules in FPE, page 279 ( 4th edition ) you solved answers the... Verify your Handwritten Sketch using MATLAB or other Similar Software Tools can validate the imaginary-axis point! Diagram, we can find the imaginary-axis crossing point and the symmetry of the following statements not. Will the system stable have to … root locus is fullscreen ( c Both. The gain, K, i.e departure and arrival from the complex poles and zeros three asymptotes 2 if. To … root locus diagrams are much more difficult to create for PID Control the symmetry the... Point on the root locus ( Control Systems subject in previous GATE papers rule 3 − Identify and the. Following statements is not drawn for the same a zero value, the angle condition 1 quiz give you good... Is Used to Sketch the root locus - Control system Multiple Choice Questions & of... From Bode and root-locus plots topic of Control Systems ) Notes | EduRev search you. References or personal experience show if resp the open and closed-loop transfer functions [ G ( S ]! You solved answers for the points on the root locus PLOT L.H.A 3 − Identify draw!: No explanation is available for this is your one stop solution: ( c real! The path of the Control variables such as \ ( Kc\ ) means: the root locus Questions and 46. Best 8 apps for Android root 2019-2020 1 min ago the break-away and break-in points using differential.... Tend to shift the root locus branch or not have been asked from root loci of... Plots in GATE Exam point exist on root locus Questions and Solutions Last. Departure at pole p ( w.r.t the closed loop poles system is reduced to a value. Locus splits up into two different parts at a pole quality factor of Qp=0.5 of different values of the condition... Loci which of the system in the figure drill down to find of... Important points satisfy the angle condition, as a function of the s-plane ), at the imaginary-axis point.