Improved stability criteria for sampled-data systems using modified free weighting matrix

S. M. Lee; O. M. Kwon; S. H. Lee

doi:10.1016/j.jfranklin.2018.12.016

Improved stability criteria for sampled-data systems using modified free weighting matrix

S. M. Lee, O. M. Kwon, S. H. Lee

School of Electronics Engineering

Chungbuk National University

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

This paper investigates the stability analysis of sampled-data systems in the looped-functional framework. A modified free-weighting matrix inequality with quadratic-type is proposed to reduce conservatism of the integral term. Based on new looped-functional, improved conditions are derived in terms of linear matrix inequalities (LMIs) by utilizing the proposed integral inequality. Numerical examples show the superiority of the proposed condition through comparisons with the most recent results.

Original language	English
Pages (from-to)	2198-2211
Number of pages	14
Journal	Journal of the Franklin Institute
Volume	356
Issue number	4
DOIs	https://doi.org/10.1016/j.jfranklin.2018.12.016
State	Published - Mar 2019

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10.1016/j.jfranklin.2018.12.016

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title = "Improved stability criteria for sampled-data systems using modified free weighting matrix",

abstract = "This paper investigates the stability analysis of sampled-data systems in the looped-functional framework. A modified free-weighting matrix inequality with quadratic-type is proposed to reduce conservatism of the integral term. Based on new looped-functional, improved conditions are derived in terms of linear matrix inequalities (LMIs) by utilizing the proposed integral inequality. Numerical examples show the superiority of the proposed condition through comparisons with the most recent results.",

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AB - This paper investigates the stability analysis of sampled-data systems in the looped-functional framework. A modified free-weighting matrix inequality with quadratic-type is proposed to reduce conservatism of the integral term. Based on new looped-functional, improved conditions are derived in terms of linear matrix inequalities (LMIs) by utilizing the proposed integral inequality. Numerical examples show the superiority of the proposed condition through comparisons with the most recent results.

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Improved stability criteria for sampled-data systems using modified free weighting matrix

Abstract

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