Event-triggered network-based [ell] sub(1)-gain filtering for positive linear systems

The [ell] sub(1)-gain filtering problem of positive linear discrete-time systems based on networked communication is investigated in this paper. A filter system model in which the sampled signals are transmitted through the unreliable communication channels is constructed for a positive system. An e...

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Bibliographic Details
Published in:International journal of systems science 2017-04, Vol.48 (6), p.1281-1290
Main Authors: Xiao, Shunyuan, Zhang, Yijun, Xu, Qiyi, Zhang, Baoyong
Format: Article
Language:English
Subjects:
Delay
Discrete time systems
Filtering
Filtration
Linear systems
Lyapunov functions
Mathematical models
Packet transmission
Online Access:Get full text
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Summary:The [ell] sub(1)-gain filtering problem of positive linear discrete-time systems based on networked communication is investigated in this paper. A filter system model in which the sampled signals are transmitted through the unreliable communication channels is constructed for a positive system. An event-triggered scheme in a linear form, which is different from the prior literatures, is designed to determine whether the signal packet should be transmitted to the filter or not. Network-induced delays are considered while handling the packet transmission. By using the linear Lyapunov function method, a sufficient condition to ensure the existence of the network-based positive filter satisfying [ell] sub(1)-gain performance is proposed. The desired filter design method for the positive system is presented by using a linear programming approach. A numerical example with practical considerations is given to verify the proposed theoretical results.
ISSN:0020-7721
1464-5319
DOI:10.1080/00207721.2016.1252443