Robust Stabilization of Control Affine Systems with Homogeneous Functions

Zimenko, Konstantin; Polyakov, Andrey; Efimov, Denis

Document type :

Communication dans un congrès avec actes

Title :

Robust Stabilization of Control Affine Systems with Homogeneous Functions

Author(s) :

Zimenko, Konstantin [Auteur]
National Research University of Information Technologies, Mechanics and Optics [St. Petersburg] [ITMO]
Polyakov, Andrey [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Efimov, Denis [Auteur]

Finite-time control and estimation for distributed systems [VALSE]

Conference title :

IFAC World Congress

City :

Berlin

Country :

Allemagne

Start date of the conference :

2020-07-12

English keyword(s) :

Nonlinear control
control affine systems
robust stabilization
homogeneous systems

HAL domain(s) :

Informatique [cs]/Automatique

English abstract : [en]

The stabilization problem of the affine control system $\dot x = f_0 (x) + u_1 f_1(x)+..+u_m f_m(x)$ with homogeneous functions $f_i$ is studied. This class of systems is of interest due to the robust properties of homogeneity ...
Show more >The stabilization problem of the affine control system $\dot x = f_0 (x) + u_1 f_1(x)+..+u_m f_m(x)$ with homogeneous functions $f_i$ is studied. This class of systems is of interest due to the robust properties of homogeneity and the fact that many affine systems can be approximated by or transformed to the class under consideration. An advantage of the introduced design method is that the tuning rules are presented in the form of linear matrix inequalities. Performance of the approach is illustrated by a numerical example.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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