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Robust observer‐based controller for uncertain‐stochastic linear parameter‐varying (LPV) system under actuator degradation
Author(s) -
Do ManhHung,
Koenig Damien,
Theilliol Didier
Publication year - 2020
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5302
Subject(s) - control theory (sociology) , linear matrix inequality , observer (physics) , actuator , controller (irrigation) , computer science , noise (video) , robust control , linear system , stability (learning theory) , mathematics , mathematical optimization , control system , engineering , control (management) , artificial intelligence , physics , electrical engineering , quantum mechanics , agronomy , biology , mathematical analysis , machine learning , image (mathematics)
Summary The main contribution of this article is a new methodology of a polytopic observer‐based controller in estimating and accommodating polynomial actuator degradation for uncertain stochastic linear parameter varying system. In this design, robust observer‐based controller gains are synthesized with a unique linear matrix inequality solution such that the impact of disturbance on observer estimation is attenuated by a frequency‐shaping filter, while ensuring the closed‐loop stability against system uncertainties and stochastic noise. Finally, an example is illustrated to highlight the performance of the proposed method.