5

b. Design an output feedback controller for the unity feedback system with

3
10
transfer function (5) = (s-2)(s-5)’ if exist, to stabilize the system.

6 Define reachability and constructability. 4

⋅ −↕∣≍⊹∣↕∣∐↗≻∣∶⊏∘
a. Compute the unit step response of the system. tt —t-t 0 IIx
6

starting from x(0) —.

b. Explain the effect of state feedback control on the zeroes of the system.

3
1 1 0
1 0 12൧

10 1

೩.6
Determine the controllability and stabilisability of the system .t

1
0 0 1[ خر ]0
0

1
b. the controllable sub realization for the system i = 01 x + A wy= 113
Identify
PART C
a. What are the advantages of closed loop observer over open loop observer. 4
b. 110 1 8

Design a reduced order observer for the system = 1 0 1 >+ 0 ५, # =

101 0
[10 to place the observer poles at —4+j2.

a. State and explain separation principle. 6

b. Design a reduced order combined observer-controller for the system G(s)=6
10
(s+3)(s+5)(s+7)to place the closed loop system pole at -5+j2 and -10 and that of the
observer at -204j8, by transfer function approach.

a. Design a reduced order combined observer-controller for the system G(s) = 5 2. to
place the closed loop poles at -2+jl and that of the observer at -5, by applying
Diophantine equation approach.
b. 1 0 1107
Transform the system +=101x+01 f ‏لاملا‎ = [1001410

1 0 1 9 0 controllable
canonical form. Also identify how many controllable canonical form exist for
this system.