Course Details
Subject {L-T-P / C} : EE3300 : Principles of Control Systems Engineering { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Prof. Asim Kumar Naskar
Syllabus
Introduction to Automatic Control: Concept of control system, Definition, Open Loop/Closed-loop, Basic elements of a servo mechanism, Types of servomechanism, Development of Automatic Control Mathematical Model: Mathematical representation of physical system, Electrical mechanical systems, liquid level system, transfer function and impulse response of linear systems, Block diagram, signal flow graphs, Application of the signal flow graphs for gain formula to block diagrams. Mathematical modelling of dynamical systems. General Feedback Theory: Feedback, effect of feedback, Mathematical definition of feedback, Control System Components: Potentiometer, Synchros, A.C. Servo motors D.C. and A.C. tacho generator, Example of closed loop systems using D.C. & A.C. Servomotors, Synchro’s, Tacho generators Hydraulic Systems & Pneumatic Systems Pump controlled and valve controlled Hydraulic motor & Actuators, Hydraulic valve, Hydraulic controllers and Pneumatic controllers Time Response of feedback control systems: Typical test signal for the transient analysis, time domain performance characteristics of feedback control systems, transient response, transient response of 2nd order systems, transient response of a positional servomechanism, effects of derivative and integral controls on the transient performance, PI, PD, PID controllers, Tachometer feedback, Steady state response steady state error, The generalized error analysis, Stability linear control system: Routh-Hurwitz criterion. Frequency response method polar plots, Bodes plot, Magnitude versus phase shift plot frequency response of feedback control system, Frequency domain specifications, MP and WP for a second order system The Nyquist criterion and stability : Introduction, The Principle of argument the Nyquist path, Nyquist criterion and the GH Plot, The application of the Nyquist criterion, The effects of additional poles and zeros of G(s) H(s) on the shape of the Nyquist locus, Relative stability, gain margin, Phase margin, conditionally stable systems. The Root Locus Technique: Introduction to Root Locus, construction of the root loci, some other properties of the root locus, root locus of conditional stable systems Compensator Design: Lag/Lead/Lag-Lead Compensator Design using Root Locus & Bode Plot Methods State variable analysis: Introduction, Concept of state, state variable and state model, State equations of continuous data control system, Derivation of state Model from transfer functions and Vice versa. Diagonalisation, Solution of state equation.
Course Objectives
- To learn developing models such transfer function or state variable model of a physical system
- To understand time and frequency domain approaches for determination of stability of a system and designing a controller
- To design a PID controller and tune it
Course Outcomes
CO1: To understand the fundamentals of (feedback) control systems. <br />CO2: To determine transfer function model of physical systems <br />CO3: To use block diagram and signal flow analysis for simplification of feedback control system represented in block diagrams <br />CO4: To determine the time and frequency-domain responses of first and second-order systems to step and sinusoidal (and to some extent, ramp) inputs. <br />CO5: To determine the (absolute) stability of a closed-loop control system <br />CO6: To apply root-locus and frequency response techniques to analyze and design control systems. <br />CO7: To develop state-space models of physical systems
Essential Reading
- K. Ogata, Modern Control Engineering, Pearson Higher Education, 2002
- I.J. Nagrath, and M. Gopal, Control System Engineering, New Age, 2002
Supplementary Reading
- R.C. Dorf and R.H.Bishop, Modern Control System, Pearson, 2017
- B.C. Kuo, Automatic Control System, Prentice Hall, Digitized Dec 5, 2007