Analysis of chemical reactors with input and output multiplicities by Hammerstein systems

Cascade control of nonlinear systems with input and output multiplicities is theoretically analyzed. The system is an isothermal continuously stirred tank reactor (CSTR) with a nonideal mixing represented by Cholette's model. The system in the primary loop is represented by a Hammerstein nonlinear system and the system in the secondary loop is represented by a transfer function. Integral controllers are designed for both the loops. The performance of the proposed nonlinear integral controller is compared with that of the linear integral controller.