Integral sliding mode control of Lur'e singularly perturbed systems
type: Item
instance of: scholarly article
title: Integral sliding mode control of Lur'e singularly perturbed systems
zbMATH Open document ID: 1394.93058
DOI: 10.1155/2015/926762
author: Wei Liu
author: Yanyan Wang
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper investigates the integral sliding mode control problem for Lur'e singularly perturbed systems with sector-constrained nonlinearities. First, we design a proper sliding manifold such that the motion of closed-loop systems with a state feedback controller along the manifold is absolutely stable. To achieve this, we give a matrix inequality-based absolute stability criterion; thus the above problem can be converted into a matrix inequality feasibility problem. In addition, the gain matrix can also be derived by solving the matrix inequality. Then, a discontinuous control law is synthesized to force the system state to reach the sliding manifold and stay there for all subsequent time. Finally, some numerical examples are given to illustrate the effectiveness of the proposed results.
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93C70
zbMATH DE Number: 6927590
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/926762
OpenAlex ID: W1502046190
Wikidata QID: Q59120310
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description: scientific article; zbMATH DE number 6927590