A high precision PID controller for inverse unstable plants

A high precision design methodology for PID regulators used in generic two-degree of freedom (G2DF) systems is introduced. This regulator structure can be considered as a generic PID (GPID) controller scheme providing desired transient properties for both tracking and regulatory performances. It is shown how the H/sub 2/-optimal generalized PID regulators and serial compensators must be computed. The design algorithms are given for unstable processes. Simulation examples are also shown presenting the tracking and regulatory transient properties of the GPID closed-loop control systems.