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Article Dans Une Revue International Journal of Robust and Nonlinear Control Année : 2022

Adaptive State Observation of Linear Time-Varying Systems with Delayed Measurements and Unknown Parameters

Résumé

In this paper we address the problem of adaptive state observation of linear timevarying systems with delayed measurements and unknown parameters. Our new developments extend the results reported in 1 and 2. The case with known parameters has been studied by many researchers-see 3,4 and references therein. We show in this paper that the generalized parameter estimation-based observer design proposed in 5 provides a very simple solution for the unknown parameter case. Moreover, when this observer design technique is combined with the dynamic regressor extension and mixing estimation procedure 6,7 , the estimated state and parameters converge in fixed-time imposing extremely weak excitation assumptions.
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Dates et versions

hal-03583081 , version 1 (21-02-2022)

Identifiants

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Valentin Bezzubov, Alexey Bobtsov, Denis Efimov, Romeo Ortega, Nikolay Nikolaev. Adaptive State Observation of Linear Time-Varying Systems with Delayed Measurements and Unknown Parameters. International Journal of Robust and Nonlinear Control, 2022, 33 (2), pp.1203-1213. ⟨10.1002/rnc.6424⟩. ⟨hal-03583081⟩
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