Root locus, design bode and nyquist plots, design state space design. Nptel mechanical engineering video lecture online study material. Root locus design imag axes real axis waterbed reduced sensitivity. Oct 29, 2014 1930s nyquist developed a method for analyzing the stability of controlled systems 1940s frequency response methods made it possible to design linear closedloop control systems 1950s root locus method due to evans was fully developed 1960s state space methods, optimal control, adaptive control and 1980s learning controls are begun to. Show that as long as p 2, p 1 0, the root locus is similar to one given above. Lecture 11 introduction to compensation free download as powerpoint presentation. Here you can download the free lecture notes of control systems pdf notes cs notes pdf materials with multiple file links to download. 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. Introduction design via root locus activecircuit realization in. Root locus elec304alper erdogan 1 7 real axis segments which parts of real line will be a part of root locus. Controller plant ds gs university of california, berkeley. Review consider a feedback system that has one parameter gain k0 to be designed.
Nptel video lectures, iit video lectures online, nptel youtube lectures, free video lectures, nptel online courses. Video lectures given by professors from iits basic electronics digital circuits and systems analog and digital communication digital signal processing dsp vlsi design transmission lines and em waves digital image processing dip digital modulation techniques vlsi technology computer organisation java tutorials for more tutorials please. We have also seen that feedback can change pole locations in the system. Distributed under creative commons attributionsharealike cc bysa. Frequency response of cascaded amplifiers, gainbandwidth exchange, compensation, dominant pole techniques, root locus. Gopal shares his thoughts on machine learning in this video m. Control systems engineering course no ee 301 credits. Root locus locus of roots as parameter value is changed. The number of branches of root locus equal to the number of closed loop poles. Root locus method part 2 engineering mathematics notes edurev is made by best teachers of engineering mathematics.
Linear integrated circuits online course video lectures by. Lec32 compensator design using root locus plots contd. Agashe, department of electrical engineering,iit bombay. The root locus is symmetrical with respect to the real axis. Systems problem 1 on root locus technique video lecture of chapter root locus analysis in control systems for extc, instrumentation. Manually plotting a root locus recall step response. The national programme on technology enhanced learning nptel, a project funded by the ministry of human resource development mhrd, provides elearning through online web and video courses in engineering, sciences, technology, management and humanities. In this website, we provide a convinient way for you to browse, view, download and track these science and engineering video lectures and web courses by institute, disciplines, course etc. Nptel has changed the links of pdf lecture notes since august 2019.
The synchronous machine is an electromechanical device, and thus also requires expressions for the electromagnetic torque and the speed of the machine. It is an inputoutput, frequency domain design technique. Design of sampled data control systems, lecture16, root locus based controller design using matlab, 70 kb. Engineering is the initiative for enhancement of the knowledge through video lectures, offered by a couple of institutes. Root locus 2 root locus observations because we have a 3rdorder system, there are 3 separate plots on the root locus, one for each root. The gain, k, at any point on the root locus is given by equation 1. In this lecture we shall introduce the root locus technique, developed by evans during world war 2 while working at north american aviation. Lec33 compensator design using root locus plots contd. Control systems pdf notes cs notes pdf eduhub smartzworld. Nptel mathematics video lecture online study material. Nptel engineering video lectures from iits, iisc and other. General steps for drawing the root locus of the given system.
Lecture notes based on 1 above, are provided below. Before digital computers, sketching of the root locus was performed by taking advantage of the angle and magnitude criteria. Nptel video lecture topic list created by linuxpert systems. We specially thank professors at iits and iise for there awesome lectures, all the credits goes to them. Control system engineeringii 3 10 modulei 10 hours state variable analysis and design. Root locus graphically shows how poles of the closedloop system varies as k varies from 0 to infinity. 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. How to download notes directly in pdf format from nptel. Introduction, concepts of state, sate variables and state model, state models for linear continuoustime systems, state variables and linear discretetime. Oct 19, 2017 in this session, i have explained example of root locus plot. Because the open loop poles and zeros exist in the sdomain having the values either as real or as complex conjugate pairs. This is a highly intuitive pictorial technique for control system design working in the splane.
In mathematical terms, given a forwardloop transfer function, kgs where k is the root locus gain, and the corresponding closedloop transfer function the root locus is the set of paths traced by the roots of as k varies from zero to infinity. This document is highly rated by electrical engineering ee students and has been viewed 1128 times. Nptel mechanical engineering modeling and control of dynamic electro mechanical system. This is a joint initiative by seven iits and iisc bangalore. Selected applications of analog circuits such as analogtodigital converters, switched capacitor filters. Matlab and flywheel introduction to the class project, team arrangements. Also, determine the number of breakaway points this will be. When working in industry, you are strongly advised to use design tools such as matlab. Lecture 11 introduction to compensation control theory. Solving problems in modelling of systems lecture series on control engineering by prof.
Nature of rootlocus, rules of construction, rootlocus analysis of control systems. Step 3 re im breakaway point 14 matlab command rlocus. 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. Whether root locus gives the idea about the steady state error. Madan gopal, department of electrical engineering, iit delhi. The root locus gives the information about the nature of the roots of the characteristic equation. 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. Nptel lectures power system protection and switchgear. Indeed, the system becomes unstable for a large value of k. Root locus technique problem 1 root locus analysis control systems problem 1 on root locus technique video. Ramkrishna pasumarthy, department of electrical engineering, iit madras. Contents of power system protection lecture, iit bombay. The following rules facilitate the sketching of the root locus.
Lecture on root locus techniques control theory applied. 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. So from it, root locus gives the idea about the overall stability of the system and the nature of the transient response. Note 7 rootlocus techniques college of engineering. The best way to download any youtube playlist is via youtubedl command prompt utility. In this lecture we will show how the matlab platform can be utilized to design a controller using root. Engineering control systems lectures transfer functions im writing a book on the fundamentals. In this chapter, let us discuss how to construct draw the root locus.
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. This is because complex roots occur in conjugate pairs. Supply and temperature independent biasing and references. Civil engineering video lectures nptel video lectures. Introduction to state space methods, linearization of nonlinear systems. Jul 22, 2017 may 07, 2020 chapter 6 root locus notes, control system, electrical engineering electrical engineering ee notes edurev is made by best teachers of electrical engineering ee. Nptel video lecture topics for electrical engineering new no. Nptel syllabus digital control system web course course outline. Lecture 30 root locus method lecture 31 root locus rules digimat the no. Linear integrated circuits online course video lectures by uc.
If you have not studied transformer in your btech course then first go through the nptel lecture mod01 then move to mod02 in order to build problem solving ability. This lecture covers the location of closedloop poles, rules that speed construction of the rootlocus diagram, and examples of these things. This application is brought to you totally free with the help of few ads. Lecture on root locus techniques free download as powerpoint presentation. 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.
Root locus technique construction rules watch more videos at videotutorialsindex. Lec30 compensator design using root locus plots youtube. Electrical engineering video lectures nptel video lectures. Locus segments now, determine if point 6is on the root locus again angles from complex poles cancel always true for real.
Nptel material is available for free on nptel website. The root locus is a graphical representation in sdomain and it is symmetrical about the real axis. Jul 04, 2017 lecture series on control engineering by prof. Effect of different parameters on root locus nptel. Prerequisite, eel 3123c, including diff equations, laplace transform techniques, circuit transfer functions, network theory. These video classes have been designed for electronics engineering students, especially those who are preparing for gate, ies and other psu exams. For free materials of different engineering subjects use my. 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. One can download or view all the lecture notes in pdf through the following website browse. Equation sm21 expresses the electromagnetic torque in terms of the flux linkages, and equation sm22 determine the rotational speed from the electromagnetic torque, load torque, and moment of. The root locus method for continuous time systems can be extended to discrete time systems without much modifications since the characteristic equation of a. Lecture 30 rootlocus method lecture 31 rootlocus rules digimat the no.
Selected applications of analog circuits such as analogtodigital converters, switched capacitor filters, and comparators. Root locus elec304alper erdogan 1 1 lecture 1 root locus. Note 8 rootlocus techniques college of engineering. Draw the polezero plot and determine the region of real axis for which the root locus exists. Root locus endpoints the locus starting point k0 are at the openloop poles and. View notes lec11 from ece 486 at university of illinois, urbana champaign. Evaluate the root locus at a point on the s plane by first solving if that point yields a summation of angles zero angles pole angles equal to an odd multiple of 180.
This lecture covers the location of closedloop poles, rules that speed construction of the root locus diagram, and examples of these things. But it cannot give idea about the steady state errors. May 07, 2020 chapter 6 root locus notes, control system, electrical engineering electrical engineering ee notes edurev is made by best teachers of electrical engineering ee. Root locus example 2 in control engineering by engineering funda, control system engineering example in this session, i have explained example of root locus plot.
It will also be helpful for students in preparing them for their engineering syllabus. Nise, control systems engineering, wiley india, student edition fifth, 2009 every student is required to have access to a copy or pdf. Again, as compared to the rootlocus sketch of 1, the rootlocus has bended more to the right. 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. Nptel computer science and engineering video lecture. Root locus design slide 6 specifications in the splane recall that the transient system specifications can be formulated in the splane t r.
Each plot starts at a location equal to the location of a root of the plant transfer function. Nptel video lecture topic list created by linuxpert. Click here for step by step procedure for accessing nptel lectures click here. Department of mechanical engineering indian institute of science bangalore, india, 560012 this draft. There will be one branch for each closed loop pole. Solving control engineering problems with matlab ogata. Nptel courses indian institute of technology bhubaneswar. Chapter 6 root locus notes, control system, electrical. Nptel provides online content in the form of video lectures and web courses across various disciplines in engineering, science and humanities. Control systems pdf notes cs notes pdf book starts with the topics covering concepts of control systems, transfer function of dc servo motor ac servo motor synchro transmitter and receiver, standard test signals time response of first order. This document is highly rated by engineering mathematics students and has been viewed 290 times. 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. Leadlag compensator using root locus 504 chapter 9 1. Along the real axis, the root locus includes all segments that are to the left of an odd number of poles and zeros. Lec31 compensator design using root locus plots contd. 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. Gopal control systems control system control engineering nptel m. Root locus technique construction rules root locus technique.
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