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Generalized dynamic observers for quasi‐LPV systems with unmeasurable scheduling functions
Author(s) -
PérezEstrada A.J.,
OsorioGordillo G.L.,
Darouach M.,
Alma M.,
OlivaresPeregrino V.H.
Publication year - 2018
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.4309
Subject(s) - control theory (sociology) , lyapunov function , observer (physics) , mathematics , linear matrix inequality , stability (learning theory) , set (abstract data type) , computer science , mathematical optimization , nonlinear system , control (management) , physics , quantum mechanics , artificial intelligence , machine learning , programming language
Summary This paper presents a generalized dynamic observer design for polytopic quasi–linear parameter‐varying systems where the parameters are depending on unmeasured state variables. It generalizes the existing results on the proportional observers and proportional‐integral observers. Conditions of existence and stability are given through the Lyapunov approach. Its design is obtained in terms of a set of linear matrix inequalities. A semiactive suspension example illustrates the performance and effectiveness of the proposed approach.