Sliding Mode Control Design for MIMO Systems: Implicit Lyapunov Function Approach

Andrey Polyakov 1 Denis Efimov 1, 2, 3 Wilfrid Perruquetti 1, 2, 3
1 NON-A - Non-Asymptotic estimation for online systems
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189, Inria Lille - Nord Europe
Abstract : A new approach to robust control design is considered. It is based on Implicit Lyapunov Function method. An algorithm of robust finite-time stabilization for a quasi- linear multi-input disturbed system is developed. A new high- order sliding mode control algorithm is deduced. Procedures for tuning of control parameters are presented. They are based on Linear Matrix Inequalities (LMI). Aspects of practical implementation of developed algorithms are discussed. A scheme for chattering reduction is proposed. Theoretical results are supported by numerical simulations.
Document type :
Conference papers
Complete list of metadatas

Cited literature [25 references]  Display  Hide  Download

https://hal.inria.fr/hal-01003984
Contributor : Andrey Polyakov <>
Submitted on : Wednesday, June 11, 2014 - 9:42:52 AM
Last modification on : Friday, March 22, 2019 - 1:35:07 AM
Long-term archiving on : Thursday, September 11, 2014 - 11:15:58 AM

File

main.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01003984, version 1

Citation

Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti. Sliding Mode Control Design for MIMO Systems: Implicit Lyapunov Function Approach. European Control Conference, IEEE, IFAC, Jun 2014, Strasbourg, France. ⟨hal-01003984⟩

Share

Metrics

Record views

432

Files downloads

2241