\(H_\infty\) tracking control of fuzzy dynamic output for nonlinear networked system with packet dropouts
type: Item
instance of: scholarly article
title: \(H_\infty\) tracking control of fuzzy dynamic output for nonlinear networked system with packet dropouts
zbMATH Open document ID: 1427.93127
DOI: 10.1155/2018/5149518
author: Yang Wang
author: Jinna Li
author: Xiaolei Ji
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: The tracking control of \(H_{\infty}\) dynamic output feedback is proposed for the fuzzy networked systems of the same category, in which each system is discrete-time nonlinear and is missing measurable data. In other words, the loss of data packet occurs randomly in both the uplink and the downlink. The independent variables that are called the Bernoulli random variables are considered to design the loss of data packets. The method of parallel distributed compensation (PDC) in terms of the T-S fuzzy model is applied to investigate the dynamic controller of tracking control on the systems. Then, it is presented that the analytical \(H_{\infty}\) performance of the output error between the reference model and the fuzzy model for the closed-loop system containing dynamic output feedback controller is proven. Furthermore, the achieved sufficient conditions in terms of LMIs ensure that the closed-loop system is stochastically stable in the \(H_{\infty}\) sense. Finally, a numerical system is offered to show the effectiveness of the established technique.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 7019085
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5149518
OpenAlex ID: W2783063939
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description: scientific article; zbMATH DE number 7019085