Distributed wireless networked \(H_{\infty}\) control for a class of Lurie-type nonlinear systems
type: Item
instance of: scholarly article
title: Distributed wireless networked \(H_{\infty}\) control for a class of Lurie-type nonlinear systems
zbMATH Open document ID: 1407.93236
DOI: 10.1155/2014/708252
author: Wen Ren
author: Bugong Xu
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: A new approach to solving the distributed control problem for a class of discrete-time nonlinear systems via a wireless neural control network (WNCN) is presented in this paper. A unified Lurie-type model termed delayed standard neural network model (DSNNM) is used to describe these nonlinear systems. We assume that all neuron nodes in WNCN which have limited energy, storage space, and computing ability can be regarded as a subcontroller, then the whole WNCN is characterized by a mesh-like structure with partially connected neurons distributed over a wide geographical area, which can be considered as a fully distributed nonlinear output feedback dynamic controller. The unreliable wireless communication links within WNCN are modeled by fading channels. Based on the Lyapunov functional and the S-procedure, the WNCN is solved and configured for the DSNNM to absolutely stabilize the whole closed-loop system in the sense of mean square with a \(H_{\infty}\) disturbance attenuation index using LMI approach. A numerical example shows the effectiveness of the proposed design approaches.
Mathematics Subject Classification ID: 93C83
Mathematics Subject Classification ID: 93A14
Mathematics Subject Classification ID: 93B36
zbMATH DE Number: 7017074
Wikidata QID: Q59069209
describes a project that uses: CVX
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/708252
OpenAlex ID: W1977690071
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description: scientific article; zbMATH DE number 7017074