Robust fault estimation for a class of T-S fuzzy singular systems with time-varying delay via improved delay partitioning approach
type: Item
instance of: scholarly article
title: Robust fault estimation for a class of T-S fuzzy singular systems with time-varying delay via improved delay partitioning approach
zbMATH Open document ID: 1398.93200
DOI: 10.1155/2016/6305901
author: Chao Sun
author: Fuli Wang
author: Xiqin He
published in: Journal of Control Science and Engineering
publication date: 2018-10-08T00:00:00Z
review text: Summary: The problem of delay-dependent robust fault estimation for a class of Takagi-Sugeno (T-S) fuzzy singular systems is investigated. By decomposing the delay interval into two unequal subintervals and with a new and tighter integral inequality transformation, an improved delay-dependent stability criterion is given in terms of Linear Matrix Inequalities (LMIs) to guarantee that the fuzzy singular system with time-varying delay is regular, impulse-free, and stable firstly. Then, based on this criterion, by considering the system fault as an auxiliary disturbance vector and constructing an appropriate fuzzy augmented system, a fault estimation observer is designed to ensure that the error dynamic system is regular, impulse-free, and robustly stable with a prescribed \(H_{\infty}\) performance satisfied for all actuator and sensor faults simultaneously, and the obtained fault estimates can practically better depict the size and shape of the faults. Finally, numerical examples are given to show the effectiveness of the proposed approach.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93E10
Mathematics Subject Classification ID: 93B35
zbMATH DE Number: 6948709
zbMATH Keywords: time-varying delay
zbMATH Keywords: robust fault estimation
zbMATH Keywords: Takagi-Sugeno fuzzy singular
zbMATH Keywords: \(H_{\infty}\) performance
Wikidata QID: Q59126082
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/6305901
OpenAlex ID: W2333101859
cites work: Isolation and handling of actuator faults in nonlinear systems
cites work: Robust fault detection in descriptor linear systems via generalized unknown input observers
cites work: Fault detection for discrete‐time switched singular time‐delay systems: an average dwell time approach
cites work: Delay-dependent criteria for robust stability of time-varying delay systems
cites work: Actuator fault estimation observer design for discrete-time linear parameter-varying descriptor systems
cites work: ℋ−/ℋ∞fault detection filter for a class of nonlinear descriptor systems
cites work: Fault detection and isolation in linear parameter‐varying descriptor systems via proportional integral observer
cites work: \(\mathcal{H}_-/\mathcal{H}_\infty \) fault detection filter design for discrete-time Takagi-Sugeno fuzzy system
cites work: Robust control and filtering of singular systems.
cites work: Robust stability and stabilization for singular systems with state delay and parameter uncertainty
cites work: Stability of linear descriptor systems with delay: a Lyapunov-based approach
cites work: Design of proportional-integral observer for unknown input descriptor systems
cites work: Delay-dependent stability and \(H_\infty\) control for a class of fuzzy descriptor systems with time-delay
cites work: Delay-dependent stability and robust \(L_{2} - L_{\infty }\) control for a class of fuzzy descriptor systems with time-varying delay
cites work: Robust control for Takagi-Sugeno fuzzy systems with time-varying state and input delays
cites work: A new fuzzy \(H_{\infty }\) filter design for nonlinear continuous-time dynamic systems with time-varying delays
description: scientific article; zbMATH DE number 6948709