Mixed order fractional observers for minimal realizations of linear time-invariant systems
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Duarte-Mermoud, Manuel
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Mixed order fractional observers for minimal realizations of linear time-invariant systems
Abstract
Adaptive and non-adaptive minimal realization (MR) fractional order observers (FOO) for
linear time-invariant systems (LTIS) of a possibly different derivation order (mixed order observers,
MOO) are studied in this paper. Conditions on the convergence and robustness are provided using
a general framework which allows observing systems defined with any type of fractional order
derivative (FOD). A qualitative discussion is presented to show that the derivation orders of the
observer structure and for the parameter adjustment are relevant degrees of freedom for performance
optimization. A control problem is developed to illustrate the application of the proposed observers.
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Identifier
URI: https://repositorio.uchile.cl/handle/2250/169556
DOI: 10.3390/a11090136
ISSN: 19994893
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Algorithms, Volumen 11, Issue 9, 2018
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