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An algorithm for the structural analysis of state space: synthesis of nonlinear observers
Author(s) -
LópezMoralès Virgilio,
Plestan Franck,
Glumineau Alain
Publication year - 2001
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.597
Subject(s) - nonlinear system , linearization , observer (physics) , transformation (genetics) , control theory (sociology) , state space representation , mathematics , state space , differential (mechanical device) , mimo , representation (politics) , feedback linearization , state (computer science) , algebraic number , computer science , algorithm , mathematical analysis , control (management) , engineering , beamforming , artificial intelligence , law , aerospace engineering , chemistry , biochemistry , quantum mechanics , political science , statistics , physics , politics , gene
The problem addressed is the linearization of multi‐input multi‐output (MIMO) nonlinear systems by a generalized state coordinates transformation and generalized input–output injection, in order to design an observer. This observer will have linear error dynamics. The goal is to bring together two observers design approaches: a structural one and a numerical one. Necessary and sufficient conditions for the existence of a linearizing generalized state transformation are obtained by an algebraic way and without computing the input–output differential equations. The main result tests integrability conditions of differential one‐forms derived from the state space representation and is applicable to a large subclass of nonlinear systems. Copyright © 2001 John Wiley & Sons, Ltd.