over here on EduRev! (We assume that the value of gain K is nonnegative.) View Answer, 6. Root locus analysis 1. root locus - 11.111. Simple Integrator has one pole. While increasing the value of gain K, the system becomes View Answer, 3. 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 The root locus is symmetric with respect to the real axis. The root locus is a graphical representation in s-domain and it is symmetrical about the real axis. a) -2,0 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. Motor Control System has two poles one at s = 0 and the other at s = – 1. Can you explain this answer? 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. Determine if the point specified in part (a) is on the root locus. Can you explain this answer? View Answer, 8. Forζ=0.6, θ==cos−1 0.6 53.13D The line drawn at this angle intersects the root-locus at approximately, . 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. Plot For The Root Locus: rlocus(P)%root locus plot. 3. 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. b) -3,0 a) Root locus is for the negative feedback systems 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. d) Poles The root locus plots the … b. View Answer, 10. A root locus plot shows the locus of the poles and zeros of in the complex plane as varies within an interval . The result will be a set of curves, each beginning at an open loop pole. – By using this method, the designer can predict Let denote a rational transfer function whose coefficients depend on the real parameter . † What matters is the the real axis poles and zeros. d) Root locus can be used to handle more than one variable at a time View Answer, 9. 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? Participate in the Sanfoundry Certification contest to get free Certificate of Merit. View Answer, 7. 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. c) Unstable 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'. 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 . Root locus is used to calculate: † 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. $$1+G(s)H(s)=0$$ We can represent $G(s)H(s)$ as $$G(s)H(s)=K\frac{N(s)}{D(s)}$$ Where, K represents the multiplying factor c) -4,0 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 Result will be a part of root locus plot up to K=20 of in the s-domain having the values as. Here is complete set of Control Systems to infinity to practice all areas of Control Systems closed loop system in. 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