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Observer‐based controller for a class of Takagi‐Sugeno fuzzy models with uncertainty
Author(s) -
Han Hugang
Publication year - 2020
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.23053
Subject(s) - observer (physics) , control theory (sociology) , controller (irrigation) , fuzzy logic , fuzzy control system , state (computer science) , property (philosophy) , class (philosophy) , computer science , matrix (chemical analysis) , mathematics , state observer , control (management) , control engineering , mathematical optimization , engineering , artificial intelligence , algorithm , nonlinear system , physics , quantum mechanics , agronomy , biology , philosophy , materials science , epistemology , composite material
Assuming all states are unavailable in a class of Takagi‐Sugeno (T‐S) fuzzy models with uncertainty, this article consists of designs of observers and controllers. Unlike the traditional state observer that is usually designed for the whole state once and for all, this article partitions the whole state into two parts: one is independent of the input and the uncertainty, and the other is not. Following some unique matrix transformations, an observer of the former part is first developed, based on which observers of the latter part and the uncertainty are derived. Using the observers, a controller that guarantees an asymptotically stable closed‐loop control system is proposed. Moreover, in order to determine the relevant design parameters more simply, it makes clear that the separate property is held in this case. © 2019 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.