CONTROL SYSTEMS

PART-A Modeling of Systems : The control system, Mathematical models of physical systems - Differential equations of physical systems - Mechanical systems, Friction, Translational systems (Mechanical accelerometer, Levered systems excluded), Rotational systems, Gear trains, Electrical systems, Analogous systems. Block Diagrams and Signal Flow Graphs : Transfer functions, Block diagram algebra, Signal flow graphs (State variable formulation excluded). Time Response of Feedback Control Systems : Standard test signals, Unit step response of first and second order systems, Time response specifications, Time response specifications of second order systems, Steady - state errors and error constants. Stability Analysis : Concepts of stability, Necessary conditions for stability, Routh- stability criterion, Relative stability analysis, More on the Routh stability criterion. PART-B Root-Locus Techniques : The root locus concepts, Construction of root loci. Stability in the Frequency Domain : Mathematical preliminaries, Nyquist Stability criterion, (Inverse polar plots excluded), Assessment of relative stability using Nyquist criterion, (Systems with transportation lag excluded). Frequency Domain Analysis : Correlation between time and frequency response, Bode plots, All pass and minimum phase systems, Experimental determination of transfer functions, Assessment of relative stability using Bode Plots. State Variable Analysis : Concepts of state, State variable and state models for electrical systems, Solution of state equations.