Question
Simulate the model in Eq. (8.67) given that $K_{12}=3, K_{21}=2, V_{\max }=10, K_M=0.8, K_{10}=0.1$, and $K_{20}(0)=0.3$. The inputs are $f_1(t)=4 u(t)$ and $f_2(t)=0$. The initial conditions are zero.
Step 1
First, let's write down the given model equation (Eq. 8.67): $\frac{d}{dt}x_1(t) = K_{12} \cdot x_2(t) - K_{21} \cdot x_1(t) + f_1(t) - K_{10} \cdot x_1(t)$ $\frac{d}{dt}x_2(t) = K_{21} \cdot x_1(t) - K_{12} \cdot x_2(t) + f_2(t) - K_{20} \cdot x_2(t)$ Show more…
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