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Finite-Time Identification Algorithm based on Time-Varying Homogeneity and Lyapunov Approach

Abstract

In this paper the problem of time-varying parameter identification is studied. To this aim, an identification algorithm is developed in order to identify time-varying parameters in a finite-time. The convergence proofs are based on a notion of finite-time stability over finite intervals of time, i.e. Short-finite-time stability; homogeneity for time-varying systems; and Lyapunov function approach. The algorithm asks for a condition over the regressor term which is related to the classic identifiability condition corresponding to the injectivity of such a term. Simulation results illustrate the feasibility of the proposed algorithm.

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Dates and versions

hal-01372047 , version 1 (26-09-2016)

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  • HAL Id : hal-01372047 , version 1

Cite

Hector Ríos, Denis Efimov, Jaime A. Moreno, Wilfrid Perruquetti. Finite-Time Identification Algorithm based on Time-Varying Homogeneity and Lyapunov Approach. Proc. 10th IFAC Symposium on Nonlinear Control Systems (NOLCOS), Aug 2016, Monterey, United States. ⟨hal-01372047⟩
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