Open AccessSimultaneous design of proportional–integral–derivative controller and measurement filter by optimisation
Author(s) -
Soltesz Kristian,
Grimholt Chriss,
Skogestad Sigurd
Publication year - 2017
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2016.0297
Subject(s) - control theory (sociology) , transfer function , robustness (evolution) , attenuation , sensitivity (control systems) , pid controller , mathematics , low pass filter , filter design , filter (signal processing) , computer science , engineering , control engineering , electronic engineering , temperature control , physics , control (management) , artificial intelligence , computer vision , biochemistry , chemistry , electrical engineering , optics , gene
A method for optimisation of proportional–integral–derivative controller parameters and measurement filter time constant is presented. The method differs from the traditional approach in that the controller and filter parameters are simultaneously optimised, as opposed to standard, sequential, design. Control performance is maximised through minimisation of the integrated absolute error caused by a unit step load disturbance. Robustness is achieved throughH ∞ constraints on sensitivity and complementary sensitivity. At the same time, noise attenuation is enforced by limiting either theH 2 orH ∞ norm of the transfer function from measurement noise to control signal. The use of exact gradients makes the synthesis method faster and more numerically robust than previously proposed alternatives.