Skip to Main content Skip to Navigation
Journal articles

Non-Asymptotic estimation for on-line systems: Finite-time algorithms and applications

Jean-Pierre Richard 1, 2, 3 Wilfrid Perruquetti 2, 3, 1
1 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 : Finite-time estimation is a way to perform real-time control and achieve specified time performance. The Inria project-team Non-A is focusing on designing such "non-asymptotic" algorithms: there, mathematics (algebra, homogeneity) are combined with real-time applications (robotics, energy, environment)… For engineers, a wide variety of information is not directly obtained through measurement. Some parameters (constants of an electrical actuator, time delay in communication, etc.) or internal variables (torques applied to a robot arm, posture and localization of a mobile, detection of impact of angles in biped walk, etc.) are unknown or are not measured. Similarly, more often than not, signals from sensors are distorted and tainted by measurement noises. To control such processes, and to extract information conveyed by the signals, one often has to estimate parameters or variables. Estimation can concern parameters (identification), states (observation), derivatives (differentiation), inputs (left inversion) or noisy data (filtering). It means a nearly infinite number of results have already been produced in this area, concerning either control or signal processing… However, unlike traditional methods, the majority of which pertain to asymptotic statistics, the particularity of Non-A is to develop algorithms which converge after a finite-time. This is summarized in the project's name: "Non-Asymptotic estimation for online systems".
Document type :
Journal articles
Complete list of metadatas

Cited literature [3 references]  Display  Hide  Download
Contributor : Jean-Pierre Richard <>
Submitted on : Thursday, January 15, 2015 - 11:21:44 AM
Last modification on : Saturday, May 2, 2020 - 8:02:03 AM
Long-term archiving on: : Thursday, April 16, 2015 - 10:27:20 AM


Files produced by the author(s)


  • HAL Id : hal-01103687, version 1


Jean-Pierre Richard, Wilfrid Perruquetti. Non-Asymptotic estimation for on-line systems: Finite-time algorithms and applications. ERCIM News, ERCIM, 2014, 97, pp.30 - 31. ⟨hal-01103687⟩



Record views


Files downloads