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

H Ríos 1 Denis Efimov 2 J.A. Moreno 3 W Perruquetti 2, *
* Corresponding author
2 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
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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Submitted on : Monday, September 26, 2016 - 5:41:57 PM
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H Ríos, Denis Efimov, J.A. Moreno, W 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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