Note for Control System Engineering - CSE by prabeen sahu

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CONTROL SYSTEM ENGINEERING-I Department of Electrical Engineering VEER SURENDRA SAI UNIVERSITY OF TECHNOLOGY, ODISHA, BURLA

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1 Disclaimer This document does not claim any originality and cannot be used as a substitute for prescribed textbooks. The information presented here is merely a collection by the committee members for their respective teaching assignments. Various sources as mentioned at the end of the document as well as freely available material from internet were consulted for preparing this document. The ownership of the information lies with the respective authors or institutions. Further, this document is not intended to be used for commercial purpose and the committee members are not accountable for any issues, legal or otherwise, arising out of use of this document. The committee members make no representations or warranties with respect to the accuracy or completeness of the contents of this document and specifically disclaim any implied warranties of merchantability or fitness for a particular purpose. The committee members shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages.

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2 Syllabus 1.0 Introduction to Control system 1.1 Scope of Control System Engineer 1.2 Classification of Control System 1.3 Historical development of Control system 1.4 Analogues systems 1.5 Transfer function of Systems 1.6 Block diagram representation 1.7 Signal Flow Graph(SFG) 2.0 Feedback Characteristics of Control systems and sensitivity measures 2.1 The Concept of Feedback and Closed loop control 2.2 Merits of using Feedback control system 2.3 Regenerative Feedback 3.0Control System Components 3.1 Potentiometers 3.2 DC and AC Servomotors 3.3 Tachometers 3.4 Amplidyne 3.5 Hydralulic systems 3.6 Pneumatic systems 3.7 Stepper Motors 4.0 Time Domain Performance Analysis of Linear Control Systems 4.1 Standard Test Signals 4.2 Time response of 1st order Systems 4.3 Unit step response of a prototype 2nd order system 4.4 Unit Ramp response of a second order system 4.4 Performance Specification of Linear System in Time domain 4.5 The Steady State Errors and Error Constants 4.6 Effect of P, PI, PD and PID Controller 4.7 Effect of Adding a zero to a system 4.8 Performance Indices(ISE,ITSE,IAE, ITAE) 4.9 Approximations of Higher order Systems by Lower order Problems 5.0 The Stability of Linear Control Systems 5.1 The Concept of Stability 5.2 The Routh Hurwitz Stability Criterion 5.3 Relative stability analysis

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3 6.0 Root Locus Technique 6.1 Angle and Magnitude Criterion 6.2 Properties of Root Loci 6.3 Step by Step Procedure to Draw Root Locus Diagram 6.4 Closed Loop Transfer Function and Time Domain response 6.5 Determination of Damping ratio, Gain Margin and Phase Margin from Root Locus 6.6 Root Locus for System with transportation Lag. 6.7 Sensitivity of Roots of the Characteristic Equation. 7.0 Frequency Domain Analysis. 7.1 Correlation between Time and frequency response 7.2 Frequency Domain Specifications 7.3 Polar Plots and inverse Polar plots 7.4 Bode Diagrams 7.4.1 Principal factors of Transfer function 7.4.2 Procedure for manual plotting of Bode Diagram 7.4.3 Relative stability Analysis 7.4.4 Minimum Phase, Non-minimum phase and All pass systems 7.5 Log Magnitude vs Phase plots. 7.6 Nyquist Criterion 7.6.1 Mapping Contour and Principle of Argument 7.6.2 Nyquist path and Nyquist Plot 7.6.3 Nyquist stability criterion 7.6.4 Relative Stability: Gain Margin, and Phase Margin 7.7 Closed Loop Frequency Response 7.7.1 Gain Phase Plot 7.7.1.1 Constant Gain(M)-circles 7.7.1.2 Constant Phase (N) Circles 7.7.1.3 Nichols Chart 7.8 Sensitivity Analysis in Frequency Domain