Stabilization of Chain of Integrators with Arbitrary Order in Finite-time

Konstantin Zimenko (1) , Andrey Polyakov (2, 3) , Denis Efimov (3, 2)

1 ITMO - National Research University of Information Technologies, Mechanics and Optics [St. Petersburg]
2 NON-A - Non-Asymptotic estimation for online systems
3 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189

A control algorithm for finite-time stabilization of a chain of integrators with arbitrary order is introduced. The method is based on Implicit Lyapunov Function (ILF) approach with applying properties of homogeneous systems. Scheme of control parameter tuning is presented in Linear Matrix Inequality (LMI) form. The method is simple in implementation and does not assume any additional computational on-line procedures that is an improvement with respect to [8], [11]. The theoretical results are supported by numerical simulations.

Domaines: Automatique

Konstantin Zimenko, Andrey Polyakov, Denis Efimov. Stabilization of Chain of Integrators with Arbitrary Order in Finite-time. 54th conference on Decision and Control 2015, IEEE, Dec 2015, Osaka, Japan. ⟨hal-01212600⟩