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Example 6 -- Time Domain Response Using State Space Model
Consider the system
<![CDATA[
.
X = AX + BU
Y = CX + DU
]]>
where
<![CDATA[
[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
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