Adaptive sliding mode observation in a network of dynamical systems. (25th January 2016)

• Record Type: Journal Article
• Authors: Menon, Prathyush P.; Edwards, Christopher; Shtessel, Yuri B.
• Other Names: Oliveira Tiago Roux guestEditor.; Fridman Leonid guestEditor.; Ortega Romeo guestEditor.
• Is Part Of: International journal of adaptive control and signal processing. Volume 30:Number 8/10(2016:Aug/Oct.)
• Page Start: 1465
• Page End: 1477
• Publication Date: 2016-01-25
• Subjects: sliding modes -- observation -- adaptation; Adaptive control systems -- Periodicals; Adaptive signal processing -- Periodicals; 629.836
• DOI: 10.1002/acs.2670
• Languages: English
• ISSNs: 0890-6327

Abstract

Summary: This paper considers the problem of reconstructing state information in all the nodes of a complex network of dynamical systems. The individual nodes comprise a known linear part and unknown but bounded uncertainties in certain channels of the system. A supervisory adaptive sliding mode observer configuration is proposed for estimating the states. A linear matrix inequality (LMI) approach is suggested to synthesise the gains of the sliding mode observer. Although deployed centrally to estimate all the states of the complex network, the design process depends only on the dynamics of an individual node of the network. The methodology is demonstrated by considering a network of Chua oscillators. Copyright © 2016 John Wiley & Sons, Ltd.