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 Block diagram reduction with transfer function Signal flow graph

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

Frequency Response - Bode Plot Polar Plot Nyquist Plot Frequency Domain specifications from the plots Regularity domain details derived from the plots Series- Parallel Compensators Lead Compensators Lag Compensators Lead Lag Compensators

Stability Routh-Hurwitz Criterion Root Locus Technique Construction of Root Locus Construction of Root Locus Stability Dominant Poles Application of Root Locus Diagram Root Locus Diagram for stability analysis Nyquist Stability Criterion

State space representation of Continuous Time systems State equations State Variable Representation Transfer function from State Variable Representation State equation properties Solutions of the state equations State equations solutions for state variable analysis Concepts of controllability and observability. Principles of observability and controllability