Group A

Frequency response techniques: Nyquist criteria—the principle of argument, the Nyquist
path; Nyquist criteria for stability, effect of addition of poles and zeros on the shape of
Nyquist locus.
Relative stability: Determination of gain margin and phase margin from Nyquist and Bode
plots. Constant M and N loci in the G-plane; Nichol's charts. Application of Nichol's charts.
State space techniques: State variable analysis o! dynamical systems, canonical forms,
controllability and observability, stability. Introduction to optimal control quadratic
performance index and regulator problems.

Group B

Compensation techniques: Specifications of control systems in time and frequency domains.
Series compensations—lag, lead and lag-lead design using Bode plots. Linear system design by state variable feedback.
Discrete data systems: Z-transforms and inverse Z transforms, stability-unit circle, bilinear transform, Jury' stability criterion. Difference equations. Types of digital control of plants.
Nonlinear elements and systems: Phase-plane an< describing function methods. Stability analysis am Liapunov's method.


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