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Control systems

Semester :  VI

Course Code : 18EE61

CIE Marks : 40                       SEE Marks : 60

 Module – 1

Printed Notes

 Module – 2

Printed Notes

 Module – 3

Printed Notes

 Module – 4

Printed Notes

 Module – 5

Printed Notes




Introduction to Control Systems: Introduction, classification of control systems. Mathematical models of physical systems: Modelling of mechanical system elements, electrical systems, Analogous systems, Transfer function, Single input single output systems, Procedure for deriving transfer functions, servomotors, synchros, gear trains.


Block Diagram: Block diagram of a closed-loop system, the procedure for drawing block diagram and block diagram reduction to find transfer function.
Signal Flow Graphs: Construction of signal flow graphs, basic properties of a signal flow graph, signal flow graph algebra, construction of signal flow graph for control systems. 


Time Domain Analysis: Standard test signals, time response of first-order systems, time response of second-order systems, steady-state errors and error constants, types of control systems.
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. 


Root locus Technique: Introduction, root locus concepts, construction of root loci, rules for the construction of root locus.
Frequency Response Analysis: Co-relation between time and frequency response – 2nd order systems only.
Bode Plots: Basic factors G(iw)/H(jw), General procedure for constructing bode plots, computation of gain margin and phase margin. 


Nyquist plot: Principle of argument, Nyquist stability criterion, assessment of relative stability using Nyquist criterion.
Design of Control Systems: Introduction, Design with the PD Controller, Design with the PI Controller, Design with the PID Controller, Design with Phase-Lead Controller, Design with Phase – Lag Controller, Design with Lead-Lag Controller.