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Stabilization of invariant sets for nonlinear systems with applications to control of oscillations
Author(s) -
Shiriaev Anton S.,
Fradkov Alexander L.
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.568
Subject(s) - control theory (sociology) , invariant (physics) , nonlinear system , pendulum , inverted pendulum , mathematics , double pendulum , lti system theory , computer science , control engineering , control (management) , physics , engineering , mathematical analysis , artificial intelligence , linear system , mathematical physics , quantum mechanics
The existing results on stabilization of invariant sets for nonlinear systems based on speed–gradient method and the notion of V ‐detectability are overviewed and extended. Applications to control of oscillations in pendulum, cart–pendulum and spherical pendulum systems are presented. Copyright © 2001 John Wiley & Sons, Ltd.