Question 10.22: Controllability and Observability Consider a dynamic system ...
Controllability and Observability
Consider a dynamic system given by G(s) = 2/(s + 4), which can be written in the statespace form
\dot{x}_1=-4x_1+2u
y=x_1
a. A new state is added and the resulting state-space equation is
\dot{x}_1 = -4x_1 +2u
\dot{x}_2=-x_2
y=x_1 +3x_2
Determine the transfer function for this new model.
b. Determine the transfer function for another model with state-space form
\dot{x}_1 =-4x_1+2u
\dot{x}_2 =-x_2 +u
y =x_1
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