Article | REF: S7442 V1

Fixed-time and finite-time control and estimation

Authors: Denis EFIMOV, Andrey POLYAKOV

Publication date: November 10, 2024

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1. Introduction and motivation

The subject of this tutorial falls within the domain of the theory of automatic control and estimation for dynamical systems (having technical or natural origins) by focusing on the tools and concepts that provide a fast or accelerated achievement of the regulation and observation objectives.

1.1 General terminology

In engineering practice, it is frequently needed to reconstruct some variables of interest from the measured data on a process, while it is impossible, or too expensive, to install a sensor directly evaluating this variable. Such a problem is called estimation (e.g., derivation of velocity of a coordinate or a parameter of a model). Once the values of this variable become known, the problem of its...

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Introduction and motivation