Example 6  Time Domain Response Using State Space Model
Consider the system
.
X = AX + BU
Y = CX + DU
where
[0 1 0 0] [0]
A = [1 0 0 0], B = [1], C = [0 0 1 0], D = 0
[0 0 0 1] [0]
[0.5 0 0 0] [0]
1. Find the feedback gain K that places the closedloop poles at s = 1, 1, 1+j, 1j.
2. Plot the response of the closedloop system to an initial condition of x1 = 0.175.
3. Plot the response of the closedloop system to a unitstep reference input.
4. Plot the impulse of the closedloop system.
Program in Ch
Output in Ch
Program in MATLAB
