Journal
JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS
Volume 24, Issue 4, Pages 535-543Publisher
SPRINGER
DOI: 10.1007/s40313-013-0044-z
Keywords
Switched affine systems; State estimation; Switched Luenberger observer; Linear matrix inequalities; Output feedback; DC-DC converters
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Funding
- Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior (CAPES)
- Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq)
- Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP)
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This paper deals with the problem of establishing a state estimator for switched affine systems. For that matter, a modification on the Luenberger observer is proposed, the switched Luenberger observer, whose idea is to design one output gain matrix for each mode of the original system. The efficiency of the proposed method relies on a simplification on estimation error which is proved always valid, guaranteeing the estimation error to asymptotically converge to zero, for any initial state and switching law. Next, a dynamic output-dependent switching law is formulated. Then, design methodologies using linear matrix inequalities are proposed, which, to the authors's knowledge, have not yet been applied to this problem. Finally, observers for DC-DC converters are designed and simulated as application examples.
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