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Observer‐based stabilization of linear switching systems
Author(s) -
Caravani Paolo,
De Santis Elena
Publication year - 2008
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.1376
Subject(s) - observer (physics) , control theory (sociology) , discrete time and continuous time , parametric statistics , realization (probability) , dwell time , state (computer science) , mathematics , class (philosophy) , basis (linear algebra) , linear system , state space , controller (irrigation) , hybrid system , computer science , control (management) , algorithm , artificial intelligence , clinical psychology , mathematical analysis , statistics , physics , medicine , geometry , quantum mechanics , machine learning , agronomy , biology
The discrete component of the hybrid state of a discrete‐time linear switching system is assumed to be uncontrolled and unobserved. Conditions of stabilizability for this class of systems are given in terms of a new definition of control invariance, based on the realization of a discrete observer that permits reconstruction of the discrete‐state in certain intervals of the time basis. This paper highlights the relationship between the minimum dwell time of the system and its stabilizability. An almost complete characterization of stabilizability is offered in terms of certain subsets of the continuous‐state space. These sets are amenable to tractable parametric procedures for controller synthesis. Copyright © 2008 John Wiley & Sons, Ltd.