SYLLABUS
1. Introduction
* system versus
Control system
* Open loop,
Closed loop system
* Open loop Transfer Function, Transfer Function for
(1st and 2nd order)
* Characteristic Equation
* Type and Order
for OPEN LOOP, Closed loop
* Poles, zeros, ↊
* Approximate
response
* Transfer function to electrical network
* Transfer function to Differential equation
* Sensitivity (Ş)
2. Block
diagram and signal flow graph
* Equivalent
diagram
* Overall Transfer function (mason's
gain formula)
*
Division of nodes (input nodes)
*
Signal Flow Graph to electrical network
3. Time Response (transient and steady
state)
* Transfer function for first order
system
* Transfer function of second order
system (impulse or Step)
Undamped,
underdamped, Critical Damped, Over Damped
* Time domain specifications c(t)
* Rise time, Peak time, Settling
time, Maximum
Peak over shoot, % Peak over shoot, N, T
oscillation
* ess
for unity and non-Unity feedback system
4. RH
criteria
Ø Necessary and Sufficient Conditions
Ø Difficulty 1 and
Difficulty 2
Ø Concept of Row of Zeros
Ø Relative Stability
5. Root
Locus
Ø Direction,
range of K
Ø Angle
and magnitude
condition
Ø Rules ( symmetry, number of root
loci, real Axis root locus
branches, angle
of assymptotes,
Centroid (Ϭ),
Break away
point, Intersection Point with imaginary axis, frequency
of
oscillation, Gain at Imaginary axis, angle of departure ɸd,
angle of arrival ɸa
Ø Addition of poles and zeros Inverse
Root Locus and Root contour
6. Frequency
Domain Analysis
BODE
PLOT POLAR PLOT NYQUIST PLOT
BODE PLOT
* slopes
and phase angle for Poles & Zeros
* Draw
magnitude and phase plot.
* Mi
(initial magnitude)
* Transfer function from plot (Calculation of K)
* Steady state error,
Gain Margin & Phase Margin, Wgc,
Wpc
7. Polar plot, Nyquist plot
* Shortcut
procedure
* Number of closed loop poles on right side that is number of
encirclement
*
Encirclement
about origin or Critical point,
* Gain Margin & Phase Margin and N
* Number
of ∞ radius
semi circle. Type and order
8 State
space analysis
* Differential
Equation, Transfer Function, SFG
* Electrical
network to State model
* State
Machine to Transfer Function
* State
Machine to STM, ZIR, ZSR State equation
Kalman’s test, Gilbert test for Controllability
and Observability,
State
variable feedback controller
Compensator
* Lead compensator
* Lag
* Lead lag
* lag lead
ØFilters
Ø
pole zero order
ØEffects
Controller
1. P, I, D, PI, PD, PID
2. PID effects of TF
3. Practical circuit
