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Observability analysis of continuous-time LTI systems with limited derivative data. (English) Zbl 1290.93026

Summary: 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.

MSC:

93B07 Observability
93C05 Linear systems in control theory
93C15 Control/observation systems governed by ordinary differential equations
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