Anna University Coimbatore 2009 B.E Electrical and Electronics Engineering Control system - Question Paper

8..Problems using root locus technique.
. Locate poles & Zeros
. obtain centroid & asymptotes
??Find Break away or Break in points
. obtain crossing point in imaginary axis
9...Stability analysis using Routh's criterion.
. Construct routh arry
. Check the 1st column for stability
. Nyquist stability criterion

16 Marks
1. Using routh criterion determine the location of the roots of the subsequent characteristic formula and comment on the stability of the system.
a) 2s5+2s4+5s3+5s2+3s+5=0
b) 2s6+4s5+s4-32s3+51s2+3s+15=0

2. The characteristic equations for certain feedback control system are provided
below. In every case, determine the range of values of K for which the system
is stable.
a)s4+3s3+3s2+s+K=0
b)s4+s3+3Ks2+(K+2)s+4=0

3. The open loop transfer function certain unity feed back systems is provided by
G(s) = K(s+13)/s(s-2)(s2+5s+16). Determine the value of K which will reason
sustained oscillations in the closed loop system what is the corresponding
oscillation frequencies?

4. A unity feedback system has an open-loop transfer function, G(s)=K/s(s2+8s+32). Sketch the root locus and determine the dominant closed loop poles with ? = 0.5. Determine the value of K at this point.

5. The open loop transfer function of an unity feedback control system is provided beneath. In every case, sketch the Nyquist plot and determine the stability of the system.
a) G(s) = K(s+3)/s(s-1)
b) G(s) = K / (s+1) (s+1.5)(s+2)
6..Given the open loop transfer function a system with unity feed
back,G(s)H(s)=K/s(s+2)(s+10).Determine the range of K for which closed
loop system is stable.
7..Write the rules for constructing the root locus.
. Locate poles & Zeros
. obtain centroid & asymptotes
. obtain Break away or Break in points
. obtain crossing point in imaginary axis
8..Problems using root locus technique.
. Locate poles & Zeros
. obtain centroid & asymptotes
??Find Break away or Break in points
. obtain crossing point in imaginary axis
9...Stability analysis using Routh's criterion.
. Construct routh arry
. Check the 1st column for stability
. Nyquist stability criterion
UNIT V
2 Marks
1. elaborate the time domain specifications needed to design a control system?
The time domain specifications needed to design a control system
are:- 1. Rise time, tr 2. Peak overshoot , Mp 3. Setting time, ts 4.Damping ratio 5. Natural frequency of oscillation, _n

Earning:   Approval pending.