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Observability Analysis of Continuous‐Time LTI Systems with Limited Derivative Data
Author(s) -
Eskandari Neda,
Oishi Meeko M. K.,
Wang Z. Jane
Publication year - 2014
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.749
Subject(s) - observability , subspace topology , control theory (sociology) , linear subspace , projection (relational algebra) , reachability , mathematics , lti system theory , computer science , linear system , algorithm , control (management) , artificial intelligence , mathematical analysis , pure mathematics
We consider continuous‐time LTI systems with either unknown‐input or with lack of information about the input and output derivatives. We compute the unknown‐input observability subspace and the observability subspace with unknown derivatives of input and output. We first formulate the unknown‐input observability subspace via projection matrices, then show that through having the unknown‐input observability subspace, one can easily evaluate the effect of known input and output signals but unknown derivatives on the observability subspace. Our method is demonstrated on the dynamics of a longitudinal aircraft in steady‐state flight.