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Article Dans Une Revue Automatica Année : 2015

Observability conservation by output feedback and observability Gramian bounds

Résumé

Though it is a trivial fact that the observability of a linear state space system is conserved by output feedback, it requires a rigorous proof to generalize this result to uniform complete observability, which is defined with the observability Gramian. The purpose of this paper is to present such a proof. Some issues in existing results are also discussed. The uniform complete observability of closed loop systems is useful for the analysis of some adaptive systems and of the Kalman filter.
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Dates et versions

hal-01231786 , version 1 (20-11-2015)

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Liangquan Zhang, Qinghua Zhang. Observability conservation by output feedback and observability Gramian bounds. Automatica, 2015, 60, pp.5. ⟨10.1016/j.automatica.2015.06.031⟩. ⟨hal-01231786⟩
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