Root locus gives vivid picture of the poles of varies. Root locus elec304alper erdogan 1 4 drawing the root locus how do we draw root locus for more complex systems, and without calculating poles. Nptel video lecture topic list created by linuxpert systems. Agashe, department of electrical engineering,iit bombay. Indeed, the system becomes unstable for a large value of k. Nise, control systems engineering, wiley india, student edition fifth, 2009 every student is required to have access to a copy or pdf. But it cannot give idea about the steady state errors. Prerequisite, eel 3123c, including diff equations, laplace transform techniques, circuit transfer functions, network theory. Realaxis root locus if the total number of poles and zeros of the openloop system to the right of the spoint on the real axis is odd, then this point lies on the locus. Determine the open loop poles, zeros and a number of branches from given gshs. Electrical engineering video lectures nptel video lectures. Lecture 30 rootlocus method lecture 31 rootlocus rules digimat the no. Lec33 compensator design using root locus plots contd.
Therefore, lets explore the properties of root locus. Lecture on root locus techniques control theory applied. In this chapter, let us discuss how to construct draw the root locus. Nptel video lectures, iit video lectures online, nptel youtube lectures, free video lectures, nptel online courses, youtube iit videos nptel courses. Root locus elec304alper erdogan 1 7 real axis segments which parts of real line will be a part of root locus. Nptel syllabus digital control system web course course outline. General steps for drawing the root locus of the given system. This document is highly rated by engineering mathematics students and has been viewed 292 times. The root locus is symmetrical with respect to the real axis. In the matlab command lines, note the use of the linspace command to generate linearly spaced points in sigma and jomega. In the discretetime case, the constraint is a curved line.
Lecture 1 root locus method lecture 2 controller design using root locus lecture 3 root locus based controller design using matlab lecture 4 nyquist stability criteria lecture 5 bode plot. Distributed under creative commons attributionsharealike cc bysa. Note 7 rootlocus techniques college of engineering. Root locus, design bode and nyquist plots, design state space design. There will be one branch for each closed loop pole. The number of branches of root locus equal to the number of closed loop poles. There are additional materials and grading information below the table. Hard copies are being discontinued from july 2019 semester and will not be dispatched. The course material are prepared in such a manner so that it will be very useful not only for. A graphical representation of closed loop poles as a system parameter varied.
Certificate will have your name, photograph and the score in the final exam with the breakup. Nptel video lectures, iit video lectures online, nptel youtube lectures, free video lectures, nptel online courses. This application is brought to you totally free with the help of few ads. Lecture notes principles of automatic control aeronautics. Again, as compared to the rootlocus sketch of 1, the rootlocus has bended more to the right.
Because our system models are rationalpolynomial with real coef. The meshgrid command is then used to produce two matrices as specified in the matlab reference guide. Lecture 30 rootlocus method lecture 31 rootlocus rules lecture 32 asymptotes of root locus lecture 33 routh array lecture 34 singular cases lecture 35 closed loop poles lecture 36 controller in the forwarded path lecture 37 mapping of control in the complexplane lecture 38 encirclement by a curve lecture 39 nyquist criterion. We specially thank professors at iits and iise for there awesome lectures, all the credits goes to them. If we remember the controller design in continuous domain using root locus, we see that the design is based on the approximation that the closed loop system. Content in lectures 1 6 and 2029 will be relevant for this course. Oct 22, 2010 lecture series on control engineering by prof. Linear integrated circuits online course video lectures by. Whether root locus gives the idea about the steady state error. We have created each application dedicated to a branch like nptel for cse, nptel for ece, nptel for civil, nptel for mechanical,nptel for eee, nptel for others. Learn for free, pay a small fee for exam and get a certificate. Friends, check out the pdf ebook and notes for control system engineering for the students studying in electrical engineering branch. Root locus plot consider a general feedback control system with a variable gain k.
Thus, the root locus is symmetric with respect to the real axis. So from it, root locus gives the idea about the overall stability of the system and the nature of the transient response. If you are not able to download lectures due to bandwidth constraints, you can obtain the courses in dvds by paying a nominal fee to cover the cost of storage media and distribution. Nptel provides elearning through online web and video courses various streams. Nptel, online courses and certification, learn for free. Note 8 rootlocus techniques college of engineering. This ebook is very useful and can help you score really well during your exam. How to download notes directly in pdf format from nptel. The gain, k, at any point on the root locus is given by equation 1. Root locus method part 2 engineering mathematics notes edurev is made by best teachers of engineering mathematics. Engineering control systems lectures transfer functions im writing a book on the fundamentals. Evans root locus method evans 1948 developed a method for plotting the variation of the roots of a polynomial equation as the value of a coefficient changes. Root locus gives the locus of closedloop poles as the openloop gain is varied from 0 to go.
Pdf control systems notes, ebook download for eeeee. Along the real axis, the root locus includes all segments that are to the left of an odd number of poles and zeros. Nptel computer science and engineering video lecture. This lecture covers the location of closedloop poles, rules that speed construction of the rootlocus diagram, and examples of these things. Root locus diagram technique is used for finding the roots of characteristic equation. Also, determine the number of breakaway points this will be. If you specify a settling time in the continuoustime root locus, a vertical line appears on the root locus plot at the pole locations associated with the value provided using a firstorder approximation. Educational video lectures, tutorials nptel videos. Nptel syllabus digital control system web course course outline the core course in electrical engineering introduces the fundamental concepts, principles and application of digital control system analysis and design to the postgraduate students. Root locus endpoints the locus starting point k0 are at the openloop poles and the locus ending points k. Root locus design slide 6 specifications in the splane recall that the transient system specifications can be formulated in the splane t r.
Lec32 compensator design using root locus plots contd. Show that as long as p 2, p 1 0, the root locus is similar to one given above. Nptel video lecture topic list created by linuxpert. Gopal control system control system full course for gate2021 completed advanced linear continuous control systems control systems engineering fifth edition by i. Rootlocus is a plot of the loci of the poles of the closedloop transfer function when one of the systems parameters k is varied. Supply and temperature independent biasing and references. Control system engineeringii 3 10 modulei 10 hours state variable analysis and design. The slides and lab handouts used in class are presented in the table below. Aug, 2017 lecture series on control engineering by prof. In this lecture we will show how the matlab platform can be utilized to design a controller using root. The root locus is a graphical representation in sdomain and it is symmetrical about the real axis. On the realaxis the root locus exists only in the segment. Control system theory, including dynamic system representation in terms of differential equations and transfer functions, masons rule for transfer function determination, linearization, the response of first and second order systems bandwidth.
Introduction, concepts of state, sate variables and state model, state models for linear continuoustime systems, state variables and linear discretetime. Nptel video lectures, iit video lectures online, nptel youtube lectures, free video lectures. The root locus method for continuous time systems can be extended to discrete time systems without much modifications since the characteristic equation of a. Step 3 re im breakaway point 14 matlab command rlocus. Root locus elec304alper erdogan 1 1 lecture 1 root locus. The course sessions include both lectures and combined lectures labs. Pid and root locus pid control design yvery common and classical control technique ygood tools for choosing gains root locus yshow closed loop poles as function of a free parameter. Because the open loop poles and zeros exist in the sdomain having the values either as real or as complex conjugate pairs. Lec30 compensator design using root locus plots youtube. We can draw both positive and negative root locus for g1.
The root locus gives the information about the nature of the roots of the characteristic equation. Lecture abstract ee c128 me c4 feedback control systems. Lec31 compensator design using root locus plots contd. Nptel mechanical engineering modeling and control of dynamic electro mechanical system. Nptel has changed the links of pdf lecture notes since august 2019. Root locus technique construction rules root locus technique. Root locus elec304alper erdogan 1 1 lecture 1 root locus what is rootlocus. Based on rootlocus graph we can choose the parameter for stability and the desired transient response. Department of mechanical engineering indian institute of science bangalore, india, 560012 this draft.
Root locus design imag axes real axis waterbed reduced sensitivity. March 12, 2008 1 the root locus method the root locus method, as the name suggests looks at the locii of the roots as some parameter of interest within the system is varied. Design of sampled data control systems, lecture16, root locus based controller design using matlab, 70 kb. Lecture 30 root locus method lecture 31 root locus rules lecture 32 asymptotes of root locus lecture 33 routh array lecture 34 singular cases lecture 35 closed loop poles lecture 36 controller in the forwarded path lecture 37 mapping of control in the complexplane lecture 38 encirclement by a curve lecture 39 nyquist criterion. Nptel material is available for free on nptel website. We exploit the properties of rootlocus to do a rough sketch. This lecture covers the location of closedloop poles, rules that speed construction of the root locus diagram, and examples of these things. Nov 28, 2017 design of sampled data control systems, lecture16, root locus based controller design using matlab, 70 kb. Ramkrishna pasumarthy, department of electrical engineering, iit madras. Selected applications of analog circuits such as analogtodigital converters, switched capacitor filters. Root locus method part 2 engineering mathematics notes edurev ppt and other engineering mathematics slides as well. Madan gopal, department of electrical engineering, iit delhi. Determine the parts of the real axis that are 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. Effect of different parameters on root locus nptel.
Find materials for this course in the pages linked along the left. Lecture on root locus techniques free download as powerpoint presentation. Design of sampled data control systems modelling of dynamic system, lecture1. Lecture 30 root locus method lecture 31 root locus rules digimat the no. Root locus endpoints the locus starting point k0 are at the openloop poles and. Draw the polezero plot and determine the region of real axis for which the root locus exists. Mar 25, 2017 root locus method with step by step solution. Lecture notes based on 1 above, are provided below. You can also download these free gate notes in pdf to help you with your exam preparation for gate, ies, barc. Frequency response of cascaded amplifiers, gainbandwidth exchange, compensation, dominant pole techniques, root locus. View notes lec11 from ece 486 at university of illinois, urbana champaign.