Mathematical modeling
of physical systems; Analogies between physical quantities and
mathematical concepts, analogous systems; System descriptions - Transfer
function and State space model; System representation - Block diagram
and signal flow graph; Simplification - Mason's gain formula.

Concepts of equilibrium and stability; Stability of a general first
order and second order system; Routh stability criterion; Time domain
analysis of first order and second order systems; stability and system
poles; Time domain parameters - time constant, rise time, delay time,
peak time, peak overshoot, natural frequency, damping ratio, forced
frequency, settling time

Bode Plots - Approximate Bode Plots;
Resonance in second order systems, gain margin and phase margin. Control
Modes - Servo and Regulator;
P, I, D and their composites; Steady state errors and their implication
on control design.

Graphical methods of open loop
analysis-Polar plot, Closed Loop analysis
from open loop system-Nyquist plot, M-N Circles, Nichols Chart -
Compensator Design(MATLAB)

References

Katsuhiko Ogata, "Modern Control Engineering", 5th Edition,
Prentice-Hall.