# Control System-I for SPPU 15 Course (TE - II - Electrical - 303147) (OLD EDITION)

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Unit 01 : General Basic concepts of control system, classification of control systems. Types of control system: Feedback, tracking, regulator system, feed forward system. Transfer function, Pole and zero concept. Modeling and representation of control system-Basic concept. Mechanical, Electrical and equivalent system, Electromechanical. Block diagram Algebra, signal flow graph, Mason’s gain formula. (Chapter - 1) Unit 02 : Time Domain Analysis Standard test signal - step, ramp, parabolic and impulse signal, type and order of control system, time response of first and second order systems to unit impulse, unit step input. steady state errors - static error coefficients. Time domain specifications of second order systems. Importance of dominant closed loop poles of higher order systems Derivation of time domain specifications for second-order under-damped system for unit step input. (Chapter - 2) Unit 03 : Stability Analysis and Root Locus Concept of stability- Absolute, Asymptotic, relative and marginal. Nature of system response for various locations of roots in S-plane of characteristics equation. Routh’s-Hurwithz criterion. Root Locus: Basic properties of root locus. Construction of root locus. Angle and magnitude condition for stable system. (Chapter - 3) Unit 04 : Frequency Domain Analysis - I Introduction, relation between time and frequency response for second order system. Frequency domain specifications, Polar Plot, Nyquist plot, stability analysis using Nyquist plot. (Chapters - 4, 6) Unit 05 : Frequency Domain Analysis - II Introduction to Bode plot, Asymptotic approximation: Sketching of Bode plot, stability, stability analysis using Bode plot. (Chapter - 5) Unit 06 : PID Controllers Basic concept of P, PI, PID controller, Design specifications in time domain and frequency domain. Design of PID controller by Root-Locus. Tuning of PID controllers. Ziegler-Nichol Method. Control System Components : Working principle and transfer function of Lag network, lead network, potentiometer, AC and DC servo motors. Working principle of synchros. (Chapter - 7)

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