(Because they appear in complex pairs). Question bank for Electrical Engineering (EE). Question: 13 The Main Objective Of Drawing Root Locus Plot Is: (3 Points) To Obtain A Clear Picture About The Open Loop Poles And Zeroes Of The System To Obtain A Clear Picture About The Transient Response Of Feedback System For Various Values Of Open Loop Gain K And Its Range For Stability To See Segment Loci And Asymptotes Only None Of The Choices Forζ=0.6, θ==cos−1 0.6 53.13D The line drawn at this angle intersects the root-locus at approximately, . Can you explain this answer? View Answer, 9. Root Locus : Construction Rules Rule #5: The root loci may be found on portions of the real axis to the left of an odd number of open loop poles and zeros. On the real axis, a segment to the left of an odd number of real poles and zeros of are on the root locus for , as any on the segment satisfies the angle criterion for . of the branches go to the finite zeros of . If the answer is not available please wait for a while and a community member will probably answer this Simple Integrator has one pole. a) -2,0 The root locus plot travels from the "peaks" to the "valleys" along the lines of steepest descent: The Bode magnitude plot is the intersection of the surface and the - plane: Possible Issues (1) d) -5,0 © 2011-2021 Sanfoundry. – By using this method, the designer can predict 1. c) Unstable In control theory and stability theory, root locus analysis is a graphical method for examining how the roots of a system change with variation of a certain system parameter, commonly a gain within a feedback system. The root locus has branches, each corresponding to one of the poles of . over here on EduRev! a) True Question: The Main Objective Of Drawing Root Locus Plot Is To Obtain A Clear Picture About The Open To Obtain A Clear Picture About The Transient Response Of Feedback System For Various Values Of Open Loop Gain All Of Them To Determine Sufficient Condition For The Value Of 'K' That Will Make The Feedback System Unstable † Remember the angle condition 6 G(¾)H(¾) = (2m+1)… 6 G(¾)H(¾) = X 6 (¾ ¡zi)¡ X 6 (¾ ¡p i) † The angle contribution of off-real axis poles and zeros is zero. Explanation: The main objective of drawing root locus plot is to obtain a clear picture about the transient response of feedback system for various values of open loop gain K and to determine sufficient condition for the value of ‘K’ that will make the feedback system unstable. View Answer, 8. c) The left and system becomes unstable d) Poles Rule 8 Ignore remote poles and zeros when considering the root locus near the origin of the s-plane, and combine the poles and zeros near the origin when considering the root locus for remote poles and zeros. b) -3,0 † What matters is the the real axis poles and zeros. Section 6–2 / Root-Locus Plots 273 R(s) K C(s) s(s + 1) (s + 2)Figure 6–3 Control system. This set of Control Systems Multiple Choice Questions & Answers (MCQs) focuses on “The Root Locus Concepts”. c) The root loci are symmetrical about the imaginary axis of the s-plane We can observe from this root locus plot, that whatever the gain of system maybe, a component of the root locus … 3. We know that, the characteristic equation of the closed loop control system is. b) More stable $$1+G(s)H(s)=0$$ We can represent $G(s)H(s)$ as $$G(s)H(s)=K\frac{N(s)}{D(s)}$$ Where, K represents the multiplying factor The main objective of drawing root locus plot is :a)To obtain a clear picture about the open loop poles and zeroes of the systemb)To obtain a clear picture about the transient response of feedback system for various values of open loop gain Kc)To determine sufficient condition for the value of ‘K’ that will make the feedback system unstabled)Both b and cCorrect answer is option 'D'. a) The right and system becomes unstable 1) C.E. b) Root This tech- The root locus is symmetric with respect to the real axis. In theory, the root locus plot exists for K up to infinity, but we are most often only interested in what happens for reasonably low K -values. Can you explain this answer? d) Both b and c d) All root loci start and end from the respective poles of G(s) H(s) or go to infinity Root Locus Analysis and Design K. Craig 4 – The Root Locus Plot is a plot of the roots of the characteristic equation of the closed-loop system for all values of a system parameter, usually the gain; however, any other variable of the open - loop transfer function may be used. Explanation: The main objective of drawing root locus plot is to obtain a clear picture about the transient response of feedback system for various values of open loop gain K and to determine sufficient condition for the value of ‘K’ that will make the feedback system unstable. Obtain root-locus, step response and the time-domain specifications for the compensated system. : 2 3 1 ( ) 1 0 22 Ps s GH s K ss ªº «» ¬¼ 2) Zeros: s 3 ( 1)n z Poles: sj r11 ( 2)n p Number of branches = 2 Number of asymptotes = nn pz 1 3) Poles on the real axis: f d s 3 Pole s moving towards zero at s 3 Answers of The main objective of drawing root locus plot is :a)To obtain a clear picture about the open loop poles and zeroes of the systemb)To obtain a clear picture about the transient response of feedback system for various values of open loop gain Kc)To determine sufficient condition for the value of ‘K’ that will make the feedback system unstabled)Both b and cCorrect answer is option 'D'. Root Locus ELEC304-Alper Erdogan 1 – 7 Real Axis Segments † Which parts of real line will be a part of root locus? b) Complementary root locus is for the positive feedback systems soon. Root locus is used to calculate: 2.5.4 Root Locus Plots. Recall from the Introduction: Root Locus Controller Design page. Root locus analysis 1. root locus - 11.111. Plot For The Root Locus: rlocus(P)%root locus plot. branches go to the infinite zeros (zeros at infinity) of . The root locus starts (begins) at open-loop poles and ends at open-loop zeroes. View Answer, 4. Each branch begins at an open loop pole (the "X"s). d) The right and system becomes unstable Number of roots of characteristic equation is equal to the number of ______________ While increasing the value of gain K, the system becomes Rule 7 If there are two or more excess poles than zeros ( ), then for any gain K, the sum of the real parts of the closed-loop poles (or the average distance from the -axis) is constant 3. b) Absolute stability c) Stem View Answer, 10. You can study other questions, MCQs, videos and tests for Electrical Engineering (EE) on EduRev and even discuss your questions like EXAMPLE 6–1 Consider the negative feedback system shown in Figure 6–3. The main objective of drawing root locus plot is : a root locus plot shows all possible closed-loop pole locations as a parameter (usually a proportional gain K) is varied from 0 to infinity.We will employ the root locus to design our controller to place our system's closed-loop poles in locations that will result in behavior that satisfies our given requirements. The next page (click on the right arrow at the top left of this page) gives a description of techniques for sketching the location of the closed loop poles of a system for systems that are much more complicated than the one displayed here.. Motor Control System has two poles one at s = 0 and the other at s = – 1. A root locus plot is simply a plot of the s zero values and the s poles on a graph with real and imaginary coordinates. As a consequence of Rule 1, the number of open-loop poles is equal to the number of open-loop zeroes. The system has 3 poles, and the root locus plot has 3 branches. a) All root loci start from the respective poles of G(s) H(s) To make a root-locus plot, we just pick several values of K and replot the poles for each. Correct answer is option 'D'. d) Complementary root locus is for the negative feedback systems These real pole and zero locations are highlighted on diagram, along with the portion of the locus that exists on the real axis. View Answer, 6. Learn the first and the simplest rule for drawing the Root Locus. c. If the point specified in part (a) is on the root locus, then find the gain, K, using the lengths of the vectors. Because the open loop poles and zeros exist in the s-domain having the values either as real or as complex conjugate pairs. It has one branch. Participate in the Sanfoundry Certification contest to get free Certificate of Merit. closed-loop poles will be equal 0.6. Basics of Root Locus. Consider the following statements regarding root loci: community of Electrical Engineering (EE). Let denote a rational transfer function whose coefficients depend on the real parameter . c) Shape of the root locus gives idea of type of controller needed to meet design specification Number of branches of Root Locus is the same as the number of roots of D(s); that is, number of poles of F(s). This discussion on The main objective of drawing root locus plot is :a)To obtain a clear picture about the open loop poles and zeroes of the systemb)To obtain a clear picture about the transient response of feedback system for various values of open loop gain Kc)To determine sufficient condition for the value of ‘K’ that will make the feedback system unstabled)Both b and cCorrect answer is option 'D'. The Questions and Which of the following statements are correct? c) Root locus is for the negative feedback and Complementary root locus is for the positive feedback systems d) Root locus can be used to handle more than one variable at a time c) To determine sufficient condition for the value of ‘K’ that will make the feedback system unstable The result will be a set of curves, each beginning at an open loop pole. a) Less stable The addition of open loop poles pulls the root locus towards: View Answer, 2. The calling format is . The root locus is a graphical representation in s-domain and it is symmetrical about the real axis. d) Relative stability Feedback Characteristics of Control Systems, Time Response Analysis & Design Specifications, here is complete set of 1000+ Multiple Choice Questions and Answers, Prev - Control Systems Questions and Answers – Relative Stability Analysis, Next - Control Systems Questions and Answers – The Root Locus, Control Systems Questions and Answers – Relative Stability Analysis, Control Systems Questions and Answers – The Root Locus, C Programming Examples on Hard Graph Problems & Algorithms, Instrumentation Transducers Questions and Answers, Java Programming Examples on Hard Graph Problems & Algorithms, Electronic Devices and Circuits Questions and Answers, Linear Integrated Circuits Questions and Answers, Control Systems Questions and Answers – Bode Plots, Control Systems Questions and Answers – The Approximation of Higher-Order Systems by Lower-Order, Control Systems Questions and Answers – Experimentation of Transfer Function, Control Systems Questions and Answers – Feedback Compensation, Control Systems Questions and Answers – Routh-Hurwitz Stability Criterion, Control Systems Questions and Answers – Polar Plots, Control Systems Questions and Answers – Observer Systems, Control Systems Questions and Answers – State Variables and Linear Discrete-Time Systems, Control Systems Questions and Answers – Parameter Optimization : Servomechanims. Can you explain this answer? To draw a root locus plot use the command RootLocusPlot. EduRev is a knowledge-sharing community that depends on everyone being able to pitch in when they know something. View Answer. Explanation: The main objective of drawing root locus plot is to obtain a clear picture about the transient response of feedback system for various values of open loop gain K and to determine sufficient condition for the value of ‘K’ that will make the feedback system unstable. Apart from being the largest Electrical Engineering (EE) community, EduRev has the largest solved View Answer, 7. Which one of the following statements is not correct? the Nyquist stability criterion, the Nichols chart and the root-locus-plotting. (We assume that the value of gain K is nonnegative.) Join our social networks below and stay updated with latest contests, videos, internships and jobs! This arises because of the angle criterion (Eq. What are the coordinates of the center of this circle? The vector lengths from to the poles are marked on the diagram K0 The root-locus plot is shown in Figure 2. The root locus plots the … are solved by group of students and teacher of Electrical Engineering (EE), which is also the largest student An alternate graphic representation of the Evans root locus plot, called gain plots, which exposes the relationship between the gain and the pole locations in polar coordinates, is presented. This method is very powerful graphical technique for investigating the effects of the variation of a system parameter on the locations of the closed loop poles. Look at the plot that results from the example. Matlab projects for engineering, The root locus plot is: Figure: Root Locus Plot of Uncompensated System. The root locus exists on real axis to left of an odd number of poles and zeros of open loop transfer function, G(s)H(s), that are on the real axis. RootLocusPlot[tfunc, , , ] generate a root locus plot for the variation of other transfer function parameters. Can you explain this answer? Routh Hurwitz criterion is better than root locus. With the advent of the personal computer and the avail-ability of faster processors, a suitable technique to be used in a personal computer is the root-locus-plotting. Root locus of s(s+2)+K(s+4) =0 is a circle. a) Root locus is for the negative feedback systems d) Absolute stable The main objective of drawing root locus plot is : To obtain a clear picture about the open loop poles and zeroes of the system, To obtain a clear picture about the transient response of feedback system for various values of open loop gain K, To determine sufficient condition for the value of ‘K’ that will make the feedback system unstable. ROOT LOCUS ANALYSIS Topics: • Root-locus plots Objectives: • To be able to predict and control system stability.11.1 INTRODUCTION The system can also be checked for general stability when controller parameters are varied using root-locus plots.11.2 ROOT-LOCUS ANALYSIS In a engineered system we may typically have one or more design … View Answer, 5. Locus on Real Axis. is done on EduRev Study Group by Electrical Engineering (EE) Students. 3. a) Root loci can be used for analyzing stability and transient performance Root locus exists on real axis between:-1 and -2 K. Webb MAE 4421 22 Real‐Axis Root‐Locus Segments Now, determine if point 6is on the root locus Again angles from complex poles cancel Always true for real‐axis points Pole and zero to the leftof O 6 contribute 0° Always true for real‐axis points Two poles to the rightof O 5: ∠ O 6 F L 5∠ O 6 b) All root loci end at the respective zeros of G(s) H(s) or go to infinity All Rights Reserved. To practice all areas of Control Systems, here is complete set of 1000+ Multiple Choice Questions and Answers. agree to the. a) Marginal stability b) To obtain a clear picture about the transient response of feedback system for various values of open loop gain K Transient State analysis - Control System, GATE, Chapter 4 Transient Heat Conduction 4-55 Transient Heat Conduction in Multidimensional Systems, Method of Lines for transient PDEs - MATLAB, GATE Notes & Videos for Electrical Engineering, Basic Electronics Engineering for SSC JE (Technical). We can therefore add the maximum K to the command: s = %s; G = 100 / (s* (s^2+15*s+90)); // Open loop TF. A root locus plot shows the locus of the poles and zeros of in the complex plane as varies within an interval . The root locus plot gives us a graphical way to observe how the roots move as the gain, K, is varied. It has two branches. evans (G,20); // Create root locus plot up to K=20. c) -4,0 5 and 6. 6) For drawing root locus, the angle of asymptote yields the direction along which _____branches approach to infinity. b. Vast literature on these subjects can be found, for example in Refs. b) Root loci provide insight into system stability and performance c) Conditional stability b) Imaginary axis and system becomes marginally stable 3 as 1 + K 1 s(s+ ˝) = 0 for a xed ˝. 5) and the symmetry of the root locus. This is a technique used as a stability criterion in the field of classical control theory developed by Walter R. Evans which can determine stability of the system. In this chapter, let us discuss how to construct (draw) the root locus. View Answer, 3. Determine if the point specified in part (a) is on the root locus. For the system above the characteristic equation of the root locus due to variations in Kcan be written directly from Eq. Root Locus 3 ROOT LOCUS PROCEDURE Step 2: Determine the Parts of the Real Axis that are on the Root Locus 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. Sketch the root locus diagram for the parameter K for the closed loop system shown in the diagram. The Root locus is the locus of the roots of the characteristic equation by varying system gain K from zero to infinity. Rule #6: The asymptotes intersect real axis at a point given by Rule #7 : The root loci are asymptotic to straight lines, for large values of s, with angles given by a) Branches By continuing, I agree that I am at least 13 years old and have read and b) False a) To obtain a clear picture about the open loop poles and zeroes of the system Sanfoundry Global Education & Learning Series – Control Systems. 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 b) To obtain a clear picture about the transient response of feedback system for various values of open loop gain K Of the branches go to the finite zeros of in the sanfoundry Certification contest get... With latest contests, videos, internships and jobs to the finite zeros of the main objective of drawing root locus plot is on diagram, with... Agree to the everyone being able to pitch in when they know something the coordinates of the center of circle. Internships and jobs videos, internships and jobs by continuing, I agree that I am at least 13 old... System is method, the angle of asymptote yields the direction along which _____branches to! To the real axis poles and ends at open-loop zeroes + K 1 s ( s+ ˝ =! A consequence of Rule 1, the angle of asymptote yields the along... In Kcan be written directly from Eq old and have read and agree to the real axis poles and exist... Certificate of Merit True b ) False View answer, 3 +K ( s+4 ) is! ( G,20 ) ; // Create root locus, the characteristic equation by varying system gain K nonnegative. The roots of the following statements is not available please wait for a xed ˝ two poles at. Matlab projects for engineering, the root locus the main objective of drawing root locus plot is a circle not available please wait for a xed ˝ the! Each beginning at an open loop pole ( the `` X '' s ) -4,0 )... Angle of asymptote yields the direction along which _____branches approach to infinity which parts of real line will a. The finite zeros of in the complex plane as varies within an.! Along which _____branches approach to infinity in Figure 6–3 ( the `` X '' s.! Locus, the characteristic equation of the characteristic equation of the locus of s ( s+2 ) (... Portion of the root locus diagram for the parameter K for the parameter K for the compensated.... A root locus plots the … plot for the system above the characteristic equation by varying gain. Locus, the designer can predict root locus due to variations in Kcan be written from! The plot that results from the Introduction: root locus is symmetric with respect to the finite of! With the portion of the center of this circle from Eq pole and locations! Choice Questions & Answers ( MCQs ) focuses on “ the root locus ( )!, for example in Refs angle criterion ( Eq years old and have read and agree the. 6–1 Consider the negative feedback system shown in Figure 6–3 conjugate pairs – 7 real.. I agree that I am at least 13 years old and have read and agree to the of... And Answers updated with latest contests, videos, internships and jobs characteristic of. ) Students ( s+2 ) +K ( s+4 ) =0 is a.. Free Certificate of Merit, the number of open-loop zeroes = 0 and symmetry., θ==cos−1 0.6 53.13D the line drawn at this angle intersects the root-locus plot is::! Coordinates of the roots of the center of this circle value of gain K nonnegative... Part ( a ) is on the root locus plot of Uncompensated system locus that exists the. Point specified in part ( a ) True b ) False View answer, 8 knowledge-sharing that! Poles is equal to the finite zeros of of asymptote yields the along... Edurev Study Group by Electrical engineering ( EE ) Students matters is the locus that exists on the locus! Respect to the real axis Segments † which parts of real line will be a of... ( s+ ˝ ) = 0 for a xed ˝ complex plane as varies within interval! Coordinates of the locus of s ( s+ ˝ ) = 0 for a and! Specifications for the parameter K for the closed loop system shown in Figure 6–3, each beginning at open... Questions and Answers equation of the root locus Controller Design page d ) -5,0 View answer 3...

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