Title :
Optimal proportional–integral–derivative set-point weighting and tuning rules for proportional set-point weights
Author :
Hast, Martin ; Ha?Œ?†gglund, Tore
Author_Institution :
Dept. of Autom. Control, Lund Univ., Lund, Sweden
Abstract :
In this study, design of low-order feedforward controllers from both reference signal and measurable disturbance for proportional-integral-derivative (PID) controllers is considered. The feedforward controllers from reference are equivalent to the use of a PID controller with set-point weighting. The design problem is formulated as a convex optimisation problem and then solved for a batch of process models. The optimal proportional set-point weights are then used to derive tuning rules that minimise the integrated absolute error. Examples illustrate the usefulness of the proposed method and tuning rules.
Keywords :
control system synthesis; convex programming; feedforward; optimal control; three-term control; PID controllers; convex optimisation problem; integrated absolute error; low-order feedforward controller design; measurable disturbance; optimal proportional-integral-derivative set-point tuning rules; optimal proportional-integral-derivative set-point weighting rules; proportional set-point weights; proportional-integral-derivative controllers; reference signal;
Journal_Title :
Control Theory Applications, IET
DOI :
10.1049/iet-cta.2015.0171