PART ^

7. (a) Explain the terms controllability index and observability index in MIMO sys-

tems.

(b) Design a reduced order observer for the system whose transfer function is given

by ಸನಾ so as to place the observer pole at s = —8.
8. (a) Write short note on observability in MIMO systems. (4)
(b) Given the system (8)

z= Ax + एप
where

54 0-20
4 ‏)ع‎ 1 0 and B= -1 1
—44 140
Obtain the controllable form realization.

9. (a) Explain in detail the separation principle in the design of control systems.

(b) Explain the direct transfer function design procedure of observer-controller.

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(4)

(8)

(4)

(8)