Skip to Main content Skip to Navigation
Journal articles

Nonlinear feedback design for fixed-time stabilization of Linear Control Systems

Andrey Polyakov 1
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : Nonlinear control algorithms of two types are presented for uncertain linear plants. Controllers of the first type are stabilizing polynomial feedbacks that allow to adjust a guaranteed convergence time of system trajectories into selected neighborhood of the origin independently on initial conditions. The control design procedure uses block control principles and finite-time attractivity properties of polynomial feedbacks. Controllers of the second type are modifications of the second order sliding mode control algorithms. They provide global finite-time stability of the closed-loop system and allow to adjust a guaranteed settling time independently on initial conditions. Control algorithms are presented for both single-input and multi-input systems. Theoretical results are supported by numerical simulations.
Document type :
Journal articles
Complete list of metadatas

Cited literature [23 references]  Display  Hide  Download
Contributor : Denis Efimov <>
Submitted on : Tuesday, November 27, 2012 - 11:25:57 AM
Last modification on : Tuesday, September 29, 2020 - 12:24:05 PM
Long-term archiving on: : Thursday, February 28, 2013 - 3:43:08 AM


Files produced by the author(s)


  • HAL Id : hal-00757561, version 1



Andrey Polyakov. Nonlinear feedback design for fixed-time stabilization of Linear Control Systems. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2012, 57 (8), pp.2106-2110. ⟨hal-00757561⟩



Record views


Files downloads