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Observability conservation by output feedback and observability Gramian bounds

Liangquan Zhang 1 Qinghua Zhang 2, 1
1 I4S - Statistical Inference for Structural Health Monitoring
Inria Rennes – Bretagne Atlantique , IFSTTAR/COSYS - Département Composants et Systèmes
Abstract : 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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Submitted on : Friday, November 20, 2015 - 4:42:44 PM
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Liangquan Zhang, Qinghua Zhang. Observability conservation by output feedback and observability Gramian bounds. Automatica, Elsevier, 2015, 60, pp.5. ⟨10.1016/j.automatica.2015.06.031⟩. ⟨hal-01231786⟩

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