Introduction to control systems: Introduction, classification of control systems.

Mathematical models of physical systems: Modeling of mechanical system elements, electrical systems, Analogous systems, Transfer function, Single input single output systems, Procedure for Deriving transfer functions, servomotors, gear trains.

Block diagram: Elements of Block Diagram, Block diagram of a closed loop system, Block diagram reduction techniques, procedure for block diagram reduction to find transfer function. Numerical.

Signal flow graphs: Construction of signal flow graphs, definition of some important terms, basic properties of signal flow graph, Mason’s gain formula, signal flow graph algebra, Numerical

Time Domain Analysis: Introduction, Standard test signals, time response of first order systems, time response of second order systems, Time response specifications, steady state errors and error constants, Approximation of higher order systems and step response of second order systems with zero’s.

Routh Stability criterion: BIBO stability, Necessary conditions for stability, Routh stability criterion, difficulties in formulation of Routh table, application of Routh stability criterion to linear feedback systems, relative stability analysis. Numerical

Root locus: Introduction, root locus concepts, construction of root loci, rules for the construction of root locus. Numerical

Frequency domain analysis: Introduction, Co-relation between time and frequencyresponse– 2 ndorder systems only.

Bode plots: Basic factors G(iw)/H(jw), General procedure for constructing Bode plots, computation of gain margin and phase margin. Numerical

Control Systems– Compensators and Controllers: Introduction, Phase-Lead Compensator, PhaseLag Compensator, Lead-Lag Compensator. Proportional controller, Derivative controller, Integral controller, PD Controller, PI Controller, PID Controller,

State space model– Concepts of State, State variable and State model, State Model for linear continuous time systems, Transfer Function from State Space Model, State Transition Matrix and its Properties, Solution of state equation.