0 lintensity, = X+ w. Determine the locus of

optimum modes
—w070
for an observer that uses a noisy measurement y= x2 + v, where v is the

observation noise of intensity r. 53

0) Aregulator system has the plant
0 20.6 0
X+ u, [0 1] × ., The closed loop poles are to be placed

at s = —2+j2vfi. Design a controller and observer so that the observer erTor .poles are

placed at ऽ = ‏اج‎ |2.4 .Draw the complete state block diagram. 7
a) What is meant by separation principle with regard to observer design? Explain.
4
b) Convert the following system into controllable companion form
0 0 -3 E I
` 512 0 -7|+|0 -1
0-1 0 0 1

(4

Obtain the transformed pair (A, 8) in all possible ways. 8