It is desired to design an efficient control scheme for a biochemical reactor exhibiting substrate inhibition kinetics. Explain the process using a neat labeled diagram. Develop the mathematical model of the process and find steady-state solution(s). Obtain the state space and transfer function models by appropriately defining the state and input variables in deviation form. Based on stability analysis, explain the steady-state multiplicity behavior. Design an IMC based PID controller for the process at both stable and unstable steady-states.