Process Control: Modeling, Design, and Simulation

M7.3. Stable Steady-State Operating Point

Design an IMC-based PID controller to control the bioreactor at equilibrium point 3—the stable nontrivial point. The steady state (also use this as the initial condition for your simulations) is

At this operating point, the state space model is

Use MATLAB to find that the eigenvalues are –0.3 and –2.2640 hr^-1, so the system is stable and the IMC-based PID method for stable systems can be used (see Table 9-1). Find the transfer function relating the dilution rate to the biomass concentration and use this ...