Ch Control System Toolkit Demos
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 closed-loop poles at s = -1, -1, -1+j, -1-j.
2. Plot the response of the closed-loop system to an initial condition of x1 = 0.175.
3. Plot the response of the closed-loop system to a unit-step reference input.
4. Plot the impulse of the closed-loop system.

Program in Ch
Output in Ch
Program in MATLAB