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A data‐driven design method of PID controller with noise filter
Author(s) -
Saeki Masami,
Hinokimoto Koki,
Wada Nobutaka,
Satoh Satoshi
Publication year - 2017
Publication title -
ieej transactions on electrical and electronic engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.254
H-Index - 30
eISSN - 1931-4981
pISSN - 1931-4973
DOI - 10.1002/tee.22552
Subject(s) - control theory (sociology) , pid controller , noise (video) , sensitivity (control systems) , controller (irrigation) , filter (signal processing) , stability (learning theory) , attenuation , computer science , mathematics , control engineering , engineering , control (management) , electronic engineering , physics , temperature control , agronomy , optics , artificial intelligence , machine learning , image (mathematics) , computer vision , biology
When undesirable control actions are generated by measurement noise due to feedback, it is preferable to reduce the noise sensitivity to improve control performance and to extend the plant lifespan. In this paper, a data‐driven design method of a proportional—integral—derivative (PID) controller with a noise filter is proposed for stable single‐input single‐output plants using a one‐shot plant response. This method attains disturbance attenuation under constraints of stability margin and noise sensitivity. A novel data‐based constraint on the PID gains is derived to bound noise sensitivity. A solution can be searched for by solving a linear matrix inequality with respect to PID gains for several values of the filter parameter. Numerical examples demonstrate the adequacy.