Inverse Laplace

syms s t

f=(-2*(s^3)-3*(s^2)+1)/((s^4)+2*(s^3)+(s^2));

ilaplace(f,t)

ans =

t - 2

f2=((-3/s)+(1/(s^3))-(f/s));

>> ilaplace(f2,t)

ans =

2*t – 3

Simulation Using Simulink

>> simulink

>> A=[0 0 0; 1 0 -1; 0 1 -2]

A =

0 0 0

1 0 -1

0 1 -2

>> B=[1;0;0]

B =

1

0

0

>> C=[1 1 -2]

C =

1 1 -2

D=[0]

D =

0

>> Intial=[0;-3;-2]

Intial =

0

-3

-2

Simulation Using Simulink

>> A=[1 0 0; 0 2 0; 0 0 3]

A =

1 0 0

0 2 0

0 0 3

>> B=[1;1;0]

B =

1

1

0

>> C=[0 0 1]

C =

0 0 1

>> D=[0]

D =

0

Letting u=1 for simulation which is nominal input