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Control Systems Lab

Autor:   •  March 23, 2015  •  Article Review  •  2,429 Words (10 Pages)  •  1,256 Views

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Control Systems Lab

Experiment 7

Name of the student        :   G Sai Karun Reddy        

ID No.                         :   2013A8PS453H

BATCH & TIME            :   PS-6 Monday 2-4pm

Contents

Control Systems Lab        

Experiment 7        

7.        ROOT LOCUS        

7.1        Root  Locus Analysis of Servo Model:        

7.1.1        Servo Model        

7.1.2        In Lab Exercises        

7.2        DC Motor with Controller        

7.2.1        Modelling  of DC Motor        

7.2.1.1 System Equations        

7.2.1.2 Transfer Function        

7.2.2        In Lab Exercises        

7.2.2.1  Drawing the Open-Loop Root Locus        

7.2.2.2  Model Reduction        

7.2.2.3  Integral Control        

7.2.2.4        Proportional and Integral Control        

7.2.2.5 Proportional, Integral, and Derivative Control        

7.2.2.6        Finding the Gain        

  1. ROOT LOCUS

Background:

 Control system engineers have utilized a number of techniques to analyze and design a controller for a typical closed loop control system. One of the most employed approach is the Root Locus. In particular, Root Locus show graphically the location of a closed loop poles through the knowledge of the open loop poles and zeros. In addition to this, it shows also the location of the closed loop poles as a loop gain k varies from zero up to infinity. Once the desired response is known, hence it will be then easy task to find from the Root Locus the associated gain to achieve such response.

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