Fast rate single-rate and dual rate systems with PID type generalized predictive control

The performance function of GPC algorithm is restructured as PID type. PID type GPC is designed in two cases; the first is a dual-rate (DR) system, where the sampling interval of a plant output is an integer multiple of the holding interval of a control input, and the second is a fast-rate single-rate (FR-SR) system, where both the holding and sampling intervals are equal to the holding interval of the DR system. Furthermore, this study gives the conditions that FR-SR and DR PID type GPC become equivalent.