Question: Please solve. A bioreactor is represented by the following model that uses the Monod kinetics: dtdx1=(D)x1 where x1 is the biomass concentration, x2 is the
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A bioreactor is represented by the following model that uses the Monod kinetics: dtdx1=(D)x1 where 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=0.3692, and Ds=0.4. 1. Obtain a linear state-space model for this system. 2. Derive the process transfer function for this system. 3. What is the order of this process? A bioreactor is represented by the following model that uses the Monod kinetics: dtdx1=(D)x1 where 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=0.3692, and Ds=0.4. 1. Obtain a linear state-space model for this system. 2. Derive the process transfer function for this system. 3. What is the order of this process
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