Basic Elements of Control System – Open loop and Closed loop systems – Differential equation – Transfer function – Modelling of Electric systems – Translational and rotational mechanical systems – Block diagram reduction Techniques – Signal flow graph

Time response analysis – Impulse and Step Response analysis of First order and Second order systems – Steady state errors – P, PI, PD and PID Compensation

Frequency Response – Bode Plot, Polar Plot, Nyquist Plot – Frequency Domain specifications from the plots, Series – Parallel Compensators – Lead, Lag, and Lead Lag Compensators

Stability, Routh-Hurwitz Criterion, Root Locus Technique, Construction of Root Locus, Stability, Dominant Poles, Application of Root Locus Diagram – Nyquist Stability Criterion

State space representation of Continuous Time systems – State equations – Transfer function from State Variable Representation – Solutions of the state equations – Concepts of Controllability and Observability