The performance of a dynamic matrix control (DMC) algorithm was investigated for the control of a fluidized catalytic cracking (FCC) process operated under full and partial combustion modes. Several types of hierarchical control systems consisting of a supervisory controller and a basic regulatory controller were designed according to the control purpose and the combustion mode. Then, the designed control systems were applied for supervisory unconstrained and constrained control of the FCC process. The dynamic matrix controllers for the unconstrained control showed better performance than PI-controllers for tracking set-points and for rejecting disturbances under both the combustion modes. The supervisory constrained control using the dynamic matrix controllers also showed good performance.