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Note for Control System Engineering - CSE By Amity Kumar

  • Control System Engineering - CSE
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  • Amity University - AMITY
  • Electronics and Communication Engineering
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Control Systems 10ES43 TEXT BOOK : 1. J. Nagarath and M.Gopal, ―Control Systems Engineering‖, New Age International (P) Limited, Publishers, Fourth edition – 2005 REFERENCE BOOKS: 1. “Modern Control Engineering “, K. Ogata, Pearson Education Asia/ PHI, 4th Edition, 2002. 2. “Automatic Control Systems”, Benjamin C. Kuo, John Wiley India Pvt. Ltd., 8th Edition, 2008. 3. “Feedback and Control System”, Joseph J Distefano III et al., Schaum‘s Outlines, TMH, 2nd Edition 2007. ECE/SJBIT Page 2

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Control Systems 10ES43 INDEX SHEET SL.NO TOPIC PAGE No. 5-26 I 1.1 1.2 1.3 1.4 1.5 1.6 UNIT 1:Modeling of Systems Introduction to Control Systems, Types of Control Systems Effect of Feedback Systems Differential equation of Physical Systems -Mechanical systems, Friction Translational systems (Mechanical accelerometer, systems excluded) Rotational systems , Gear trains Electrical systems, Analogous systems II UNIT–2 : Block diagrams and signal flow graphs 2.1 2.2 2.3 Transfer functions Block diagram algebra Signal Flow graphs (State variable formulation excluded) III UNIT – 3 :Time Response of feedback control systems 3.1 3.2 3.3 3.4 3.5 3.6 3.7 Standard test signals Unit step response of first order systems Unit step response of second order systems Time response specifications Time response specifications of second order systems steady23 – state errors and error constants) Introduction to PID Controllers (excluding design) IV UNIT – 4 : Stability analysis 4.1 4.2 4.3 Concepts of stability, Necessary conditions for Stability Routh- stability criterion Relative stability analysis; More on the Routh stability criterion. V UNIT – 5 : Root–Locus Techniques 5.1 5.2 VI 6.1 6.2 6.3 6.4 VII Introduction, The root locus concepts Construction of root loci (problems) 140-175 UNIT – 6 : Frequency domain analysis Correlation between time and frequency response Bode plots Experimental determination of transfer functions Assessment of relative stability using Bode Plots Introduction to lead, lag and lead-lag compensating networks (excluding design) 176-188 UNIT – 7 : Stability in the frequency domain 7.1 Introduction to Polar Plots,(Inverse Polar Plots excluded) 6.5 ECE/SJBIT 27-47 48-90 91-116 117-139 Page 3

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Control Systems 7.2 7.3 7.4 VIII 8.1 8.2 8.3 10ES43 Mathematical preliminaries Nyquist Stability criterion Assessment of relative stability using Nyquist criterion, (Systems with transportation lag excluded) 189-208 UNIT – 8 : Introduction to State variable analysis Concepts of state, state variable Concepts of state models for electrical systems Solution of state equations ECE/SJBIT Page 4

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Control Systems 10ES43 UNIT-1 A control system is an arrangement of physical components connected or related in such a manner as to command, direct, or regulate itself or another system, or is that means by which any quantity of interest in a system is maintained or altered in accordance with a desired manner. Any control system consists of three essential components namely input, system and output. The input is the stimulus or excitation applied to a system from an external energy source. A system is the arrangement of physical components and output is the actual response obtained from the system. The control system may be one of the following type. 1) man made 2) natural and / or biological and 3) hybrid consisting of man made and natural or biological. Examples: 1) An electric switch is man made control system, controlling flow of electricity. input : flipping the switch on/off system : electric switch output : flow or no flow of current 2) Pointing a finger at an object is a biological control system. input : direction of the object with respect to some direction system : consists of eyes, arm, hand, finger and brain of a man output : actual pointed direction with respect to same direction 3) Man driving an automobile is a hybrid system. input : direction or lane system : drivers hand, eyes, brain and vehicle output : heading of the automobile. Classification of Control Systems Control systems are classified into two general categories based upon the control action which is responsible to activate the system to produce the output viz. 1) Open loop control system in which the control action is independent of the out put. 2) Closed loop control system in which the control action is some how dependent upon the output and are generally called as feedback control systems. Open Loop System is a system in which control action is independent of output. To each reference input there is a corresponding output which depends upon the system and its operating conditions. The accuracy of the system depends on the calibration of the system. In the presence of noise or disturbances open loop control will not perform satisfactorily. ECE/SJBIT Page 5

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