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On fixed-time parameter estimation under interval excitation

Abstract : The problem of estimation in the linear regression model is studied under the hypothesis that the regressor may be excited on a limited initial interval of time only. Then the estimation solution is based on the framework of finite-time or fixed-time converging dynamical systems. Two estimation algorithms are proposed. The robustness is analyzed using the notion of short-time input-to-state stability property with the use of a Lyapunov function. The performance of the estimators is demonstrated in numerical experiments.
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Submitted on : Wednesday, May 27, 2020 - 3:33:05 PM
Last modification on : Tuesday, November 22, 2022 - 2:26:16 PM


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  • HAL Id : hal-02634489, version 1


Denis Efimov, Stanislav Aranovskiy, Alexey Bobtsov, Tarek Raïssi. On fixed-time parameter estimation under interval excitation. ECC 2020 - 18th European Control Conference, May 2020, Saint-Petersburg, Russia. ⟨hal-02634489⟩



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