Assignment:
A system described x = Ax + Bu
y = Cx with
is under feedback control of the form u = Kx + r where r is the reference input.
(i) Show that (A,C) is observable.
(ii) Compute a K of the form [ 1 k2] so that (A - BK, C) is unobservable. (I.e., the closed loop system is unobservable).
(iii) Find the transfer function of the open loop system as well as the transfer funtion of the closed loop system, and compare the transfer functions to determine what the unobservability is due to.