Li, PPLiPin, GGPinFedele, GGFedeleParisini, TTParisini2018-06-142018-06-28International Journal of Control, 2018, 91 (9), pp.2090-20990020-7179http://hdl.handle.net/10044/1/60061The derivative estimation problem is addressed in this paper by using Volterra integral operators which allow to obtain the estimates of the time-derivatives with fast convergence rate. A deadbeat state observer is used to provide the estimates of the derivatives with a given fixed-time convergence. The estimation bias caused by modeling error is characterized herein as well as the ISS property of the estimation error with respect to the measurement perturbation. A number of numerical examples are carried out to show the effectiveness of the proposed differentiator also including comparisons with some existing methods.© 2018 Taylor & Francis. This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Control on 8 June 2018, available online: https://dx.doi.org/10.1080/00207179.2018.1478130Science & TechnologyTechnologyAutomation & Control SystemsLinear integral operatorsnumerical differentiationnon-asymptotic identificationstate estimationFredholm-Volterra integral equationsIndustrial Engineering & Automation0102 Applied Mathematics0906 Electrical and Electronic EngineeringJournal Articlehttps://www.dx.doi.org/10.1080/00207179.2018.14781301366-5820