An LMI Approach to Full- and Reduced-Order Switched Luenberger Observers for Switched Affine Systems

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Yoshimura, Victor Leonardo
Assunção, Edvaldo [UNESP]
Teixeira, Marcelo Carvalho Minhoto [UNESP]
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This work deals with reduced-order Luenberger-like observer design and control for switched affine systems. Formulation of state-dependent and dynamic output-dependent switching laws for those systems was already addressed, however, in a full-order treatment. The proposed procedure defines an estimator system only for the unmeasured part of the system state. Linear matrix inequalities for obtaining output gain matrices and for composing a reduced-order Luenberger observer-based switching law are proposed. Finally, the results are validated by design and simulation for DC–DC converters.
DC–DC converters, Linear matrix inequalities, Reduced order switched Luenberger observers, Switched affine systems, Switched Luenberger observers
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Journal of Control, Automation and Electrical Systems, v. 27, n. 6, p. 587-596, 2016.