Improved delay-dependent stability criteria for linear systems with multiple time-varying delays

Oliveira, Fúlvia S.S. de; Souza, Fernando O.

doi:10.1080/00207179.2020.1766116

Cited by 8 publications

(1 citation statement)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Tissir (2007) studied the robust stability of uncertain systems with non-commensurate time-varying delays. De Oliveira and Souza (2020) developed the new enhanced stability criteria for linear systems with multiple time-varying delays. In Naami et al (2021a) and Naami et al (2021b), the design problem of functional observers for linear systems with non-commensurate time-varying delays has been addressed.…”

Section: Introductionmentioning

confidence: 99%

Delay-dependent H_∞ dynamic observers for non-linear systems with multiple time-varying delays

Naami

Ouahi

Sadek

et al. 2022

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

The design of dynamic [Formula: see text] observers (DO) for non-linear Lipschitz systems with multiple time-varying delays and disturbances is studied. Sufficient conditions for the existence of these observers are presented in the form of rank equality. Compared to previously published work, the system under consideration includes non-linearity, non-commensurable delay, and external disturbance. Through the use of the Wirtinger inequality and the extended reciprocally convex matrix inequality, new and less conservative delay-dependent conditions in terms of linear matrix inequalities (LMIs) are derived based on the Lyapunov–Krasovskii functional method. Solving these LMIs makes it possible to obtain DO that satisfies an [Formula: see text] performance index. Through two numerical examples in which the comparison with the proportional observer (PO) and the proportional–integral observer (PIO) shows the efficiency of the proposed DO synthesis condition. Furthermore, the results indicate that the DO developed in this paper is more resilient to parameter perturbations.

show abstract

Section: Introductionmentioning

confidence: 99%

Delay-dependent H_∞ dynamic observers for non-linear systems with multiple time-varying delays

Naami

Ouahi

Sadek

et al. 2022

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

show abstract

Delay-Dependent Stabilization of Time-Delay Systems with Nonlinear Perturbations

Shahbazzadeh

Sadati

2021

Circuits Syst Signal Process

View full text Add to dashboard Cite

Generalized Multiple Delay-dependent H∞, Functional Observer Design for Nonlinear System

Naami,

Ouahi,

Alvarez

et al. 2023

Int. J. Control Autom. Syst.

View full text Add to dashboard Cite

Improved delay-dependent stability criteria for linear systems with multiple time-varying delays

Cited by 8 publications

References 30 publications

Delay-dependent H_∞ dynamic observers for non-linear systems with multiple time-varying delays

Delay-dependent H_∞ dynamic observers for non-linear systems with multiple time-varying delays

Delay-Dependent Stabilization of Time-Delay Systems with Nonlinear Perturbations

Generalized Multiple Delay-dependent H∞, Functional Observer Design for Nonlinear System

Contact Info

Product

Resources

About

Improved delay-dependent stability criteria for linear systems with multiple time-varying delays

Cited by 8 publications

References 30 publications

Delay-dependent H∞ dynamic observers for non-linear systems with multiple time-varying delays

Delay-dependent H∞ dynamic observers for non-linear systems with multiple time-varying delays

Delay-Dependent Stabilization of Time-Delay Systems with Nonlinear Perturbations

Generalized Multiple Delay-dependent H∞, Functional Observer Design for Nonlinear System

Contact Info

Product

Resources

About

Delay-dependent H_∞ dynamic observers for non-linear systems with multiple time-varying delays

Delay-dependent H_∞ dynamic observers for non-linear systems with multiple time-varying delays