EE611

HW#21

Due Wednesday, October 29

1a) Prove Ackermann's formula for a 3^rd order system (n=3).

b) Use Ackermann's formula to find w=-Kx to assign all eigenvalues to {-5} for the following 3^rd order system:

2. Finish the example we did in class. For the following system:

a) Find out if the system is stabilizable

b) Put all controllable eigenvalues at {-2}

c) Find out if the system is detectable

d) Design an observer (preferably reduced-order) which has observable eigenvalues at {-10}