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Polynomial fuzzy controller design with disturbance observer using the SOS‐based approach
Author(s) -
Han Hugang,
Higaki Yuta
Publication year - 2015
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.22106
Subject(s) - control theory (sociology) , disturbance (geology) , fuzzy logic , controller (irrigation) , mathematics , nonlinear system , fuzzy control system , polynomial , observer (physics) , set (abstract data type) , explained sum of squares , stability (learning theory) , control engineering , computer science , control (management) , engineering , artificial intelligence , statistics , paleontology , mathematical analysis , physics , quantum mechanics , machine learning , agronomy , biology , programming language
The polynomial fuzzy model is an effective model to design a fuzzy controller for nonlinear systems. In order to improve the control performance, a so‐called lumped disturbance is considered in the model. For countering the influence of the lumped disturbance, a new fuzzy disturbance observer (FDO) is proposed. Compared to the existing FDO, which is designed on the basis of an individual rule and whose estimate may not match the disturbance properly, the proposed method is able to follow the disturbance, in principle. As a result, the estimate of the new FDO is used directly to synthesize a part of controller along with the regular control input where such a disturbance is not considered. Finally, a set of conditions in the form of the sum of squares for the asymptotic stability of the closed‐loop system is provided. © 2015 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.