Title :

On output-based accelerated stabilization of a chain of integrators: Implicit Lyapunov-Krasovskii functional approach

Author(s) :

Nekhoroshikh, Artem [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Centrale Lille
ITMO University [Russia]
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Polyakov, Andrey [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Perruquetti, Wilfrid [Auteur]
Centrale Lille
Furtat, Igor [Auteur]
Institute of Mechanical Engineering Problems [St. Petersburg] [IPME]
Fridman, Emilia [Auteur]
Department of Electrical Engineering

Conference title :

IFAC 2020 - 21rst IFAC World Congress

City :

Berlin

Country :

Allemagne

Start date of the conference :

2020-07-13

English keyword(s) :

Implicit Lyapunov-Krasovskii Functional (ILKF)
Nonlinear control
Delay-dependent output feedback
Linear Matrix Inequalities (LMIs)
Practical stability

HAL domain(s) :

Sciences de l'ingénieur [physics]/Automatique / Robotique

English abstract : [en]

The problem of output accelerated stabilization of a chain of integrators is considered. Proposed control law nonlinearly depends on the output and its delayed values, and it does not use an observer to estimate the ...
Show more >The problem of output accelerated stabilization of a chain of integrators is considered. Proposed control law nonlinearly depends on the output and its delayed values, and it does not use an observer to estimate the unmeasured components of the state. It is proven that such a nonlinear delayed control law ensures practical output stabilization with rates of convergence faster than exponential. The effective way of computation of feedback gains is given. It is shown that closed-loop system stability does not depend on the value of artificial delay, but the maximum value of delay determines the width of stability zone. The efficiency of the proposed control is demonstrated in simulations.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