Basic elements in control systems – Open and closed loop systems – Mathematical modelling of electrical and mechanical systems – analogous systems – Transfer function – Synchros – AC and DC servomotors – Block diagram reduction techniques – Signal flow graphs

Time response - Types of test input - I and II order system response - Time domain specifications – Error coefficients – Generalized error series – Steady state error – Routh Hurwitz stability criterion – Root locus construction

Frequency domain Specifications – Bode plot – Polar plot – Determination of closed loop response from open loop response – Correlation between frequency domain and time domain specifications - Nyquist stability criterion

Basic Compensators – Lag, lead and lag-lead compensators – Lag / Lead compensator design using bode plots – Controllers - P, PI and PID control modes.

Concepts of state variable and state model - Solution of State equation - State space to transfer function conversion - state transition matrix - concepts of controllability and observability - Pole placement control - Observers design.