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

Time response – Time domain specifications – Types of test input – I and II order system response – Error coefficients – Generalized error series – Steady state error – P, PI, PID modes of feedback control. Simulation of first order and second order system for step input - P, PI and PID controller using MATLAB simulation.

Frequency response – Bode plot – Polar plot – Determination of closed loop response from open loop response – Correlation between frequency domain and time domain specifications. Determination of frequency domain specifications by plotting Bode plot and Polar plot using MATLAB simulation.

Location of roots in S plane for stability – Routh Hurwitz criterion – Root locus construction - Nyquist stability criterion Determination of stability of a system by Root Locus and Nyquist criterion using MATLAB simulation.

Basic Compensators – Lag, lead and lag-lead networks – Lag / Lead compensator design using bode plots. State model – transfer function from state model - state transition matrix - concepts of controllability and observability. Design a compensator for a system to satisfy the time and frequency domain specifications using MATLAB simulation.