Homogeneity with respect to a part of variables and accelerated stabilization

Efimov, Denis; Kolmanovsky, Ilya

Document type :

Communication dans un congrès avec actes

Title :

Homogeneity with respect to a part of variables and accelerated stabilization

Author(s) :

Efimov, Denis [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Kolmanovsky, Ilya [Auteur]
University of Michigan [Ann Arbor]

Conference title :

CDC 2023 - 62nd IEEE Conference on Decision and Control

City :

Singapore

Country :

Singapour

Start date of the conference :

2023-12-13

HAL domain(s) :

Informatique [cs]/Automatique

English abstract : [en]

The problem of transforming a locally asymptotically stabilizing time-varying control law to a globally stabilizing one with accelerated finite/fixed-time convergence is studied. The solution is based on an extension of ...
Show more >The problem of transforming a locally asymptotically stabilizing time-varying control law to a globally stabilizing one with accelerated finite/fixed-time convergence is studied. The solution is based on an extension of the theory of homogeneous systems to the setting where the symmetry and stability properties only hold with respect to a part of the state variables. The proposed control design advances the kind of approaches first studied in [1], and relies on the implicit Lyapunov function framework. Examples of finite-time and nearly fixed-time stabilization of a nonholonomic integrator are reported.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL

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