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A bioreactor is represented by the following model that uses the Monod kinetics: dtdx1=(D)x1dtdx2=(4x2)D2.5x1 Here x1 is the biomass concentration, x2 is the substrate concentration,
A bioreactor is represented by the following model that uses the Monod kinetics: dtdx1=(D)x1dtdx2=(4x2)D2.5x1 Here x1 is the biomass concentration, x2 is the substrate concentration, and D is the dilution rate. The specific growth rate depends on the substrate concentration as follows: =0.12+x20.53x2 In this system, we are interested in controlling the biomass concentration using the dilution rate, at the steady-state defined by, x1s=1.4523,x2s=0.32,Ds=0.5. 1. Obtain a linear state-space model for this system around the steady state. 2. What is the order of this process
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