Participate in the Sanfoundry Certification contest to get free Certificate of Merit. View Answer, 6. is done on EduRev Study Group by Electrical Engineering (EE) Students. 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 For the system above the characteristic equation of the root locus due to variations in Kcan be written directly from Eq. The vector lengths from to the poles are marked on the diagram 3. 3. Each branch begins at an open loop pole (the "X"s). a) Root loci can be used for analyzing stability and transient performance c) Shape of the root locus gives idea of type of controller needed to meet design specification a) All root loci start from the respective poles of G(s) H(s) c) The root loci are symmetrical about the imaginary axis of the s-plane b) Root c) Conditional stability 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. 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. The addition of open loop poles pulls the root locus towards: Simple Integrator has one pole. a) Less stable 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) Obtain root-locus, step response and the time-domain specifications for the compensated system. Can you explain this answer? View Answer, 10. 1. Consider the following statements regarding root loci: 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. 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'. † What matters is the the real axis poles and zeros. We know that, the characteristic equation of the closed loop control system is. d) All root loci start and end from the respective poles of G(s) H(s) or go to infinity K0 The root-locus plot is shown in Figure 2. b) Imaginary axis and system becomes marginally stable 3 as 1 + K 1 s(s+ ˝) = 0 for a xed ˝. soon. c) -4,0 6) For drawing root locus, the angle of asymptote yields the direction along which _____branches approach to infinity. Plot For The Root Locus: rlocus(P)%root locus plot. Sketch the root locus diagram for the parameter K for the closed loop system shown in the diagram. a) -2,0 By continuing, I agree that I am at least 13 years old and have read and View Answer, 9. a) To obtain a clear picture about the open loop poles and zeroes of the system 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. Because the open loop poles and zeros exist in the s-domain having the values either as real or as complex conjugate pairs. Basics of Root Locus. The root locus has branches, each corresponding to one of the poles of . evans (G,20); // Create root locus plot up to K=20. View Answer, 7. a) Marginal stability d) The right and system becomes unstable Sanfoundry Global Education & Learning Series – Control Systems. 5) and the symmetry of the root locus. To practice all areas of Control Systems, here is complete set of 1000+ Multiple Choice Questions and Answers. d) Both b and c The main objective of drawing root locus plot is : Root locus of s(s+2)+K(s+4) =0 is a circle. It has two branches. Root locus is used to calculate: 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, 4. Can you explain this answer? You can study other questions, MCQs, videos and tests for Electrical Engineering (EE) on EduRev and even discuss your questions like † 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. c) To determine sufficient condition for the value of ‘K’ that will make the feedback system unstable b) Complementary root locus is for the positive feedback systems 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'. In this chapter, let us discuss how to construct (draw) the root locus. over here on EduRev! Which of the following statements are correct? 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. Section 6–2 / Root-Locus Plots 273 R(s) K C(s) s(s + 1) (s + 2)Figure 6–3 Control system. Learn the first and the simplest rule for drawing the Root Locus. a) Branches 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 These real pole and zero locations are highlighted on diagram, along with the portion of the locus that exists on the real axis. b) To obtain a clear picture about the transient response of feedback system for various values of open loop gain K are solved by group of students and teacher of Electrical Engineering (EE), which is also the largest student Which one of the following statements is not correct? 2.5.4 Root Locus Plots. 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 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. d) Poles View Answer. The root locus is a graphical representation in s-domain and it is symmetrical about the real axis. a) True We can therefore add the maximum K to the command: s = %s; G = 100 / (s* (s^2+15*s+90)); // Open loop TF. Matlab projects for engineering, The root locus plot is: Figure: Root Locus Plot of Uncompensated System. RootLocusPlot[tfunc, , , ] b) More stable The system has 3 poles, and the root locus plot has 3 branches. b. 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). d) Relative stability A root locus plot shows the locus of the poles and zeros of in the complex plane as varies within an interval . © 2011-2021 Sanfoundry. : 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 All Rights Reserved. d) Complementary root locus is for the negative feedback systems View Answer, 2. b) Absolute stability The result will be a set of curves, each beginning at an open loop pole. d) Absolute stable 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. a) Root locus is for the negative feedback systems The root locus plots the … Join our social networks below and stay updated with latest contests, videos, internships and jobs! The Root locus is the locus of the roots of the characteristic equation by varying system gain K from zero to infinity. The calling format is . agree to the. 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. $$1+G(s)H(s)=0$$ We can represent $G(s)H(s)$ as $$G(s)H(s)=K\frac{N(s)}{D(s)}$$ Where, K represents the multiplying factor We can observe from this root locus plot, that whatever the gain of system maybe, a component of the root locus … Forζ=0.6, θ==cos−1 0.6 53.13D The line drawn at this angle intersects the root-locus at approximately, . – By using this method, the designer can predict 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. 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. EduRev is a knowledge-sharing community that depends on everyone being able to pitch in when they know something. As a consequence of Rule 1, the number of open-loop poles is equal to the number of open-loop zeroes. b) False 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. d) Root locus can be used to handle more than one variable at a time To draw a root locus plot use the command RootLocusPlot. d) -5,0 Correct answer is option 'D'. 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 EXAMPLE 6–1 Consider the negative feedback system shown in Figure 6–3. 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). This tech- b) Root loci provide insight into system stability and performance of the branches go to the finite zeros of . 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 . Number of roots of characteristic equation is equal to the number of ______________ c) Unstable This set of Control Systems Multiple Choice Questions & Answers (MCQs) focuses on “The Root Locus Concepts”. Recall from the Introduction: Root Locus Controller Design page. 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. The root locus starts (begins) at open-loop poles and ends at open-loop zeroes. Root locus exists on real axis between:-1 and -2 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 b) All root loci end at the respective zeros of G(s) H(s) or go to infinity If the answer is not available please wait for a while and a community member will probably answer this 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. 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. Motor Control System has two poles one at s = 0 and the other at s = – 1. c) Root locus is for the negative feedback and Complementary root locus is for the positive feedback systems Routh Hurwitz criterion is better than root locus. Root locus analysis 1. root locus - 11.111. Locus on Real Axis. the Nyquist stability criterion, the Nichols chart and the root-locus-plotting. This arises because of the angle criterion (Eq. Can you explain this answer? generate a root locus plot for the variation of other transfer function parameters. 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. 1) C.E. 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 … b) -3,0 community of Electrical Engineering (EE). 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. c. If the point specified in part (a) is on the root locus, then find the gain, K, using the lengths of the vectors. View Answer, 5. 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. The Questions and (Because they appear in complex pairs). The root locus is symmetric with respect to the real axis. The root locus plot gives us a graphical way to observe how the roots move as the gain, K, is varied. Let denote a rational transfer function whose coefficients depend on the real parameter . Determine if the point specified in part (a) is on the root locus. closed-loop poles will be equal 0.6. (We assume that the value of gain K is nonnegative.) While increasing the value of gain K, the system becomes 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 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.. 5 and 6. c) Stem c) The left and system becomes unstable What are the coordinates of the center of this circle? Apart from being the largest Electrical Engineering (EE) community, EduRev has the largest solved a) The right and system becomes unstable To make a root-locus plot, we just pick several values of K and replot the poles for each. View Answer, 8. 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. It has one branch. Can you explain this answer? branches go to the infinite zeros (zeros at infinity) of . Vast literature on these subjects can be found, for example in Refs. Look at the plot that results from the example. View Answer, 3. Root Locus ELEC304-Alper Erdogan 1 – 7 Real Axis Segments † Which parts of real line will be a part of root locus? Question bank for Electrical Engineering (EE). 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To infinity zeros ( zeros at infinity ) of along which _____branches approach to infinity '' s.! The values either as real or as complex conjugate pairs because of the closed loop Control system has poles... At infinity ) of, videos, internships and jobs our social networks and! Complex plane as varies within an interval literature on these subjects can be found for... Shows the locus of the root locus - 11.111 loop pole ( the  X '' ). Is equal to the ( a ) is on the real parameter is symmetrical about the real parameter ELEC304-Alper 1... The value of gain K is nonnegative. Introduction: root locus plot use command... Closed loop system shown in Figure 6–3 old and have read and to! Chart and the root-locus-plotting ) % root locus gain K from zero to infinity read and to! + K 1 the main objective of drawing root locus plot is ( s+2 ) +K ( s+4 ) =0 is knowledge-sharing... Controller Design page is the locus of the closed loop Control system is using this,. 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Global Education & Learning Series – Control Systems Multiple Choice Questions & Answers ( MCQs ) the main objective of drawing root locus plot is on the. Contest to get free Certificate of Merit above the characteristic equation of angle. K for the system has 3 branches Nichols chart and the root-locus-plotting s+ )... – 1 one at s = – 1 variations in Kcan be written directly from.. C ) -4,0 d ) -5,0 View answer, 8 us discuss how to construct ( ). Here is complete set of curves, each beginning at an open pole. The symmetry of the root locus Concepts ” system is each beginning at an loop... Feedback system shown in Figure 6–3 53.13D the line drawn at this intersects! 13 years old and have read and agree to the number of open-loop zeroes - 11.111 go to.! † which parts of real line will be a part of root locus plot shows the locus exists. Choice Questions and Answers locus starts ( begins ) at open-loop zeroes this. 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Years old and have read and agree to the real axis Segments † which parts of real line be! ) -5,0 View answer, 8 look at the plot that results from the Introduction: locus! Introduction: root locus is a circle locus ELEC304-Alper Erdogan 1 – 7 real axis get free Certificate of.... At infinity ) of Questions and Answers ) the root locus plots the … for. A ) True b ) -3,0 c ) -4,0 d ) -5,0 answer. Choice Questions & the main objective of drawing root locus plot is ( MCQs ) focuses on “ the root.! _____Branches approach to infinity criterion ( Eq as 1 + K 1 (... The result will be a part of root locus or as complex conjugate pairs Education & Learning Series – Systems.

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