Introduction: Concept of automatic controls, open and closed loop systems, concepts of feedback, requirement of an ideal control system.
Modeling of Systems: The control system, Mathematical models of physical systems - Introduction, Differential equations of physical systems – Mathematical Model: Mechanical System (both translation and rotational), Electrical systems (servos, D.C. Motors, A.C. Servomotors), Hydraulic systems (liquid level and fluid power systems), Thermal systems, Integrating devices, Hydraulic servomotor, temperature control system, error detectors.
Block Diagrams: Transfer Functions definition, function, block representation of system elements, reduction of block diagrams, Basic properties and gain formula to block.
System Response: First order and second order system response to step, ramp and sinusoidal inputs, concepts of time constant and its importance in speed of response
Stability analysis: Concepts of stability, Necessary conditions for Stability, Routhstability criterion, Relative stability analysis; Effect of proportional, integral and derivative control actions, steady state errors in unity feedback control systems
Root–Locus Techniques: Introduction, The root locus concepts, Construction of root loci, lead compensation, lag compensation and lag-lead compensation
System Analysis using Logarithmic plots: Bode attenuation diagrams, Stability Analysis using Bode diagrams, Simplified Bode Diagrams.
Control system analysis in state space: Introduction to the state concepts, state equation of linear continuous data system. Matrix representation of state equations, controllability and observability, Kalman and Gilberts test