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Indirect adaptive state feedback control of linearly parametrized non‐linear systems
Author(s) -
Campion G.,
Bastin G.
Publication year - 1990
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.4480040503
Subject(s) - control theory (sociology) , diffeomorphism , linear system , state (computer science) , linearization , feedback linearization , stability (learning theory) , mathematics , adaptive control , class (philosophy) , control (management) , nonlinear system , computer science , mathematical analysis , physics , algorithm , quantum mechanics , artificial intelligence , machine learning
Two indirect adaptive linearizing controllers are proposed, in continuous time, for the class of non‐linear systems which are linearly parametrized and which can be linearized by state feedback through a parametrized diffeomorphism. In each case the stability of the closed loop is analysed in detail. It is also shown how these control laws can be extended to related situations, i.e. input‐output feedback linearization and non‐linear parametrizations.