Improved stabilization conditions for nonlinear systems with input and state delays via T-S fuzzy model
type: Item
instance of: scholarly article
title: Improved stabilization conditions for nonlinear systems with input and state delays via T-S fuzzy model
zbMATH Open document ID: 1427.93122
DOI: 10.1155/2018/3542352
author: Chang Che
author: Jiayao Peng
author: Tao Zhao
author: Jian Xiao
author: Jie Zhou
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper focuses on the problem of nonlinear systems with input and state delays. The considered nonlinear systems are represented by Takagi-Sugeno (T-S) fuzzy model. A new state feedback control approach is introduced for T-S fuzzy systems with input delay and state delays. A new Lyapunov-Krasovskii functional is employed to derive less conservative stability conditions by incorporating a recently developed Wirtinger-based integral inequality. Based on the Lyapunov stability criterion, a series of linear matrix inequalities (LMIs) are obtained by using the slack variables and integral inequality, which guarantees the asymptotic stability of the closed-loop system. Several numerical examples are given to show the advantages of the proposed results.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 34K36
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 7018821
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/3542352
OpenAlex ID: W2796792703
cites work: Fuzzy control turns 50: 10 years later
cites work: Robust adaptive output feedback control to a class of non-triangular stochastic nonlinear systems
cites work: Stability analysis and design of a class of MIMO fuzzy control systems
cites work: Stabilization by using artificial delays: an LMI approach
cites work: Observer-Based Fault Detection for Nonlinear Systems With Sensor Fault and Limited Communication Capacity
cites work: Relaxed stabilization conditions for continuous-time Takagi-Sugeno fuzzy control systems
cites work: An efficient approach for reducing the conservatism of LMI-based stability conditions for continuous-time T-S fuzzy systems
cites work: A new result on the delay-dependent stability of discrete systems with time-varying delays
cites work: Semi‐global output feedback control for nonlinear systems with uncertain time‐delay and output function
cites work: Output feedback stabilization of stochastic feedforward nonlinear time-delay systems with unknown output function
cites work: Improved stability criterion and its applications in delayed controller design for discrete-time systems
cites work: Wirtinger-based integral inequality: application to time-delay systems
cites work: Stability of time-delay systems via Wirtinger-based double integral inequality
cites work: Parameter-memorized Lyapunov functions for discrete-time systems with time-varying parametric uncertainties
cites work: Delay-dependent stabilization of discrete-time interval type-2 T-S fuzzy systems with time-varying delay
cites work: New delay-dependent approach to robust stability and stabilization for Takagi-Sugeno fuzzy time-delay systems
cites work: Delay-dependent stability analysis and synthesis of uncertain T-S fuzzy systems with time-varying delay
cites work: Improved delay-dependent robust stabilization conditions of uncertain T-S fuzzy systems with time-varying delay
cites work: Delay-dependent LMI conditions for stability and stabilization of T-S fuzzy systems with bounded time-delay
cites work: Guaranteed cost control of T-S fuzzy systems with state and input delays
cites work: Robust \(H_\infty\) control of Takagi-Sugeno fuzzy systems with state and input time delays
cites work: Robust output feedback \(H_\infty\) control and filtering for uncertain linear systems
Wikidata QID: Q129981819
Recommended article: Improved delay-dependent stability criteria for T-S fuzzy systems with time-varying delay
Recommended article: Improved delay-dependent robust stabilization conditions of uncertain T-S fuzzy systems with time-varying delay
Recommended article: New approach on robust stability for uncertain T-S fuzzy systems with state and input delays
Recommended article: Delay-dependent stabilization of T-S fuzzy systems under imperfect premise matching
Recommended article: New stability and stabilization conditions for T-S fuzzy systems with time delay
Recommended article: Q2968372
Recommended article: Stabilisation of T-S fuzzy systems with mixed time delays
Recommended article: New delay-dependent stabilization conditions of T-S fuzzy systems with constant delay
Recommended article: Improved results on nonlinear perturbed T-S fuzzy system with mixed delays
Recommended article: Stability analysis of T-S fuzzy models for nonlinear multiple time-delay interconnected systems
description: scientific article; zbMATH DE number 7018821