P11.25 Consider the system represented in state vari

able form

Verify that the system is observable. Then design a full-state observer by placing the observer poles at

s1,2 = −1. Plot the response of the estimation error

e x ( )t t = − ( ) xˆ( )t with an initial estimation error of

e( ) 0 1 = [ ] , 1 T .

where x(t) = Ax(t) + Bu(t) y(t) =Cx(t) + Du(t), 1 4 B = -5 10 C [14] and D =[0]. =