A multirate sampled-data chemical reactor system control using a parameter plane method

Abstract

Considers the control of a two-tank chemical reactor system with multirate sampling using a parameter plane method. A PID controller with a "slow-fast" multirate scheme is used for the chemical reactor system. Based on two related stability equations and using the PID gains as the adjustable parameters, the set of all possible PID gains to maintain the chemical reactor system's stability, and at the same time, to make the system have a specified gain margin, phase margin, damping ratio, and damping factor is determined. The effects of multirate sampling on the set of PID gains satisfying the specifications are also examined.<>