




CONTROL THEORY
Group A
Continuoustime systems: Performance specifications in timedomain and frequency domain.
Correlation between time domain and frequency domain specifications.
Error coefficients. Design approaches. Frequency domain vs. Splane design. Types of
compensation. Controllability and observability of control systems.
Cascade compensation: Lead, lag, and laglead compensators. Use of Bode diagram. Root
locus, and Nyquist diagram for compensator design. Feedback compensator design, use of
inverse Nyquist diagram, minor loop feedback compensation. PID controllers. Linear state
variable feedback. Pole placement using state variable feedback.
Nonlinear systems: Types of common nonlinearities. Properties of nonlinear systems.
Available techniques for analysing nonlinear systems. Linearising approximations.
Describing function techniques. Detecting limit crycling and instability. Phase plane
methods. Lyapunov's stability criterion. Popov's Method for stability analysis of nonlinear
systems.



Group B
Discretetime systems: Introduction to discretetime systems.
Ztransforms, inverse Ztransforms and bilinear transformations.
Pulse transfer functions. Tune response of sampled data systems. Effect of sample hold and
dead times.
Frequency response: Bode plots, polar plots and gain (db) vs. phase plots. Stability using Jury
criterion, RouthHurwitz criterion, Nyquist criterion, Bode plot and root locus. Design of
compensators in Zdomain and Wdomain.
State space representation of discrete systems and sampleddata systems. Deriving Ztransfer
function model from state model of discrete systems. Solving timeinvariant state equations.State transition matrix. Controllability and observability of timeinvariant discrete systems.







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