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Observer design for a class of piecewise linear systems
Author(s) -
Lj. Juloski A.,
Heemels W. P. M. H.,
Weiland S.
Publication year - 2007
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.1171
Subject(s) - stability theory , observer (physics) , control theory (sociology) , piecewise , class (philosophy) , piecewise linear function , mathematics , modal , state (computer science) , state observer , linear system , nonlinear system , computer science , control (management) , mathematical analysis , algorithm , chemistry , physics , quantum mechanics , artificial intelligence , polymer chemistry
In this paper we present observer design procedures for a class of bi‐modal piecewise linear systems in both continuous and discrete time. We propose Luenberger‐type observers, and derive sufficient conditions for the observation error dynamics to be globally asymptotically stable, in the case when the system dynamics is continuous over the switching plane. When the dynamics is discontinuous, we derive conditions that guarantee that the relative estimation error with respect to the state of the observed system will be asymptotically small. The presented theory is illustrated with several examples. Copyright © 2007 John Wiley & Sons, Ltd.