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Control System Analysis Examples of control systems, Open loop control systems, Closed loop control systems. Transfer function. Types of feedback and feedback control system characteristics - Noise rejection; Gain, Sensitivity, Stability. Mathematical Modeling of Systems Importance of a mathematical model, Block diagrams, Signal flow graphs, Masan's gain formula and its application to block diagram reduction. State space method, Solving time-invariant system,Transfer matrix. Transient and Steady State - Response Analysis Impulse response function, First order system, Second order system, Time domain specifications of systems, Analysis of transient-response using second order model.Classification of control systems according to Type of systems, Steady - state errors, Static error constants, Steady - state analysis of different types of systems using step, ramp and parabolic input signals. Stability Analysis Concept of stability, Stability analysis using Routh's stability criterion, Absolute stability, Relative stability, Root-Locus plots, Summary of general rules for constructing Root-Locus, Root-Locus analysis of control systems. Compensation techniques-Log, lead, log-lead. Frequency-Response Analysis Frequency domain specifications, Resonance peak and peak resonating frequency, Relationship between time and frequency domain specification of systems. Bode plots, Polar plots, Log-magnitude Vs phase plots, Nyquist stability criterion, Stability analysis, Relative stability, Gain margin, Phase margin, Stability analysis of system using Bode plots. Closed-loop frequency response-Constant gain and phase loci, Nichol's chart and their use in stability study of systems. Control Components and Controller D.C. and A.C. servomotors, Servoamplifier, Potentiometer, Synchro transmitters, Synchro receivers, Synchro control transformer, Stepper motors. Discontinuous controller modes, Continuous controller modes, Composite controllers.