Robust block decomposition sliding mode control design
type: Item
instance of: scholarly article
title: Robust block decomposition sliding mode control design
zbMATH Open document ID: 1059.93024
DOI: 10.1080/10241230306732
author: Alexander Loukianov
published in: Mathematical Problems in Engineering
publication date: 2004-11-16T00:00:00Z
review text: A class of nonlinear uncertain control systems is considered. First, a procedure (based on the integral transformation method) is applied to reduce the original control system to a suitable {block controllable form}. Next, a discontinuous control strategy is proposed. This strategy ensures the convergence of the closed-loop system in finite time to a suitably chosen sliding manifold. Finally, to achieve stabilization of the sliding mode motion and compensation of the unmatched uncertainty, the controller gains are chosen in a suitable hierarchical way. The corresponding proof is based on {a comparison lemma} applied to a suitable Lyapunov function for each block.
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93D30
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93B17
zbMATH DE Number: 2115994
zbMATH Keywords: uncertain systems
zbMATH Keywords: sliding mode control
zbMATH Keywords: hierarchical algorithm
zbMATH Keywords: integral transformation
zbMATH Keywords: discontinuous control
zbMATH Keywords: stabilization
zbMATH Keywords: unmatched uncertainty
zbMATH Keywords: comparison lemma
zbMATH Keywords: Lyapunov function
reviewed by: Mikhail Krastanov
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1080/10241230306732
OpenAlex ID: W2047135059
description: scientific article; zbMATH DE number 2115994