\( \mathcal{H}_\infty\) filtering for discrete-time nonlinear singular systems with quantization
type: Item
instance of: scholarly article
title: \( \mathcal{H}_\infty\) filtering for discrete-time nonlinear singular systems with quantization
zbMATH Open document ID: 1426.93080
DOI: 10.1155/2017/9548407
author: Yifu Feng
author: Zhimin Li
author: Xiao-Heng Chang
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: This paper investigates the problem of \(\mathcal{H}_{\infty}\) filtering for class discrete-time Lipschitz nonlinear singular systems with measurement quantization. Assume that the system measurement output is quantized by a static, memoryless, and logarithmic quantizer before it is transmitted to the filter, while the quantizer errors can be treated as sector-bound uncertainties. The attention of this paper is focused on the design of a nonlinear quantized \(\mathcal{H}_{\infty}\) filter to mitigate quantization effects and ensure that the filtering error system is admissible (asymptotically stable, regular, and causal), while having a unique solution with a prescribed \(\mathcal{H}_{\infty}\) noise attenuation level. By introducing some slack variables and using the Lyapunov stability theory, some sufficient conditions for the existence of the nonlinear quantized \(\mathcal{H}_{\infty}\) filter are expressed in terms of linear matrix inequalities (LMIs). Finally, a numerical example is presented to demonstrate the effectiveness of the proposed quantized filter design method.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93B07
zbMATH DE Number: 6972691
Wikidata QID: Q59147895
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/9548407
OpenAlex ID: W2622259975
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description: scientific article; zbMATH DE number 6972691