Sliding mode control design for MIMO systems: Implicit Lyapunov Function approach

Author

Polyakov, A. ; Efimov, D. ; Perruquetti, W.

Author_Institution

Non-A INRIA - LNE, Villeneuve-d´Ascq, France

fYear

2014

fDate

24-27 June 2014

Firstpage

2612

Lastpage

2617

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.

Keywords

Lyapunov methods; MIMO systems; control nonlinearities; control system synthesis; linear matrix inequalities; robust control; variable structure systems; LMI; MIMO systems; chattering reduction; control parameter tuning; high-order sliding mode control algorithm; implicit Lyapunov function approach; linear matrix inequalities; quasi-linear multiinput disturbed system; robust control design; robust finite-time stabilization; sliding mode control design; Algorithm design and analysis; Equations; Linear matrix inequalities; Lyapunov methods; Mathematical model; Sliding mode control; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2014 European

Conference_Location

Strasbourg

Print_ISBN

978-3-9524269-1-3

Type

conf

DOI

10.1109/ECC.2014.6862362

Filename

6862362