Improved stability criterion and output feedback control for discrete time-delay systems

Jian Chen; Chong Lin; Bing Chen; Qing Guo Wang

doi:10.1016/j.apm.2017.07.048

Improved stability criterion and output feedback control for discrete time-delay systems

Jian Chen, Chong Lin, Bing Chen, Qing Guo Wang

Electrical and Electronic Engineering Science

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

20 Citations (Scopus)

Abstract

This paper investigates the stability and stabilization for a class of linear systems with time-varying delay. We provide a new finite-sum inequality which is a powerful tool for stability analysis of time-delay systems. Applying the inequality, a new stability criterion is proposed in terms of linear matrix inequalities (LMIs). We also design a method for static output feedback (SOF) control problems which contains two parts. The first part is to find an initial values of the matrix variables. By utilizing the initial values, the condition for SOF control problems can be solved by an improved path-following method. Numerical examples demonstrate the effectiveness of the stability criterion and the SOF stabilization method.

Original language	English
Pages (from-to)	82-93
Number of pages	12
Journal	Applied Mathematical Modelling
Volume	52
DOIs	https://doi.org/10.1016/j.apm.2017.07.048
Publication status	Published - Dec 2017

Keywords

Discrete-time system
Finite-sum inequality
Path-following method
Static output feedback
Time-varying delay

ASJC Scopus subject areas

Modeling and Simulation
Applied Mathematics

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10.1016/j.apm.2017.07.048

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title = "Improved stability criterion and output feedback control for discrete time-delay systems",

abstract = "This paper investigates the stability and stabilization for a class of linear systems with time-varying delay. We provide a new finite-sum inequality which is a powerful tool for stability analysis of time-delay systems. Applying the inequality, a new stability criterion is proposed in terms of linear matrix inequalities (LMIs). We also design a method for static output feedback (SOF) control problems which contains two parts. The first part is to find an initial values of the matrix variables. By utilizing the initial values, the condition for SOF control problems can be solved by an improved path-following method. Numerical examples demonstrate the effectiveness of the stability criterion and the SOF stabilization method.",

keywords = "Discrete-time system, Finite-sum inequality, Path-following method, Static output feedback, Time-varying delay",

author = "Jian Chen and Chong Lin and Bing Chen and Wang, {Qing Guo}",

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AU - Chen, Jian

AU - Lin, Chong

AU - Chen, Bing

AU - Wang, Qing Guo

PY - 2017/12

Y1 - 2017/12

N2 - This paper investigates the stability and stabilization for a class of linear systems with time-varying delay. We provide a new finite-sum inequality which is a powerful tool for stability analysis of time-delay systems. Applying the inequality, a new stability criterion is proposed in terms of linear matrix inequalities (LMIs). We also design a method for static output feedback (SOF) control problems which contains two parts. The first part is to find an initial values of the matrix variables. By utilizing the initial values, the condition for SOF control problems can be solved by an improved path-following method. Numerical examples demonstrate the effectiveness of the stability criterion and the SOF stabilization method.

AB - This paper investigates the stability and stabilization for a class of linear systems with time-varying delay. We provide a new finite-sum inequality which is a powerful tool for stability analysis of time-delay systems. Applying the inequality, a new stability criterion is proposed in terms of linear matrix inequalities (LMIs). We also design a method for static output feedback (SOF) control problems which contains two parts. The first part is to find an initial values of the matrix variables. By utilizing the initial values, the condition for SOF control problems can be solved by an improved path-following method. Numerical examples demonstrate the effectiveness of the stability criterion and the SOF stabilization method.

KW - Discrete-time system

KW - Finite-sum inequality

KW - Path-following method

KW - Static output feedback

KW - Time-varying delay

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VL - 52

SP - 82

EP - 93

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

ER -

Improved stability criterion and output feedback control for discrete time-delay systems

Abstract

Keywords

ASJC Scopus subject areas

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