Finite-time stability and controller design of continuous-time polynomial fuzzy systems
type: Item
instance of: scholarly article
title: Finite-time stability and controller design of continuous-time polynomial fuzzy systems
zbMATH Open document ID: 1470.93090
DOI: 10.1155/2017/3273480
author: Manfeng Hu
author: Xiao Xing Chen
published in: Abstract and Applied Analysis
publication date: 2018-08-30T00:00:00Z
review text: Summary: Finite-time stability and stabilization problem is first investigated for continuous-time polynomial fuzzy systems. The concept of finite-time stability and stabilization is given for polynomial fuzzy systems based on the idea of classical references. A sum-of-squares- (SOS-) based approach is used to obtain the finite-time stability and stabilization conditions, which include some classical results as special cases. The proposed conditions can be solved with the help of powerful Matlab toolbox SOSTOOLS and a semidefinite-program (SDP) solver. Finally, two numerical examples and one practical example are employed to illustrate the validity and effectiveness of the provided conditions.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 6929548
describes a project that uses: Matlab
describes a project that uses: Sostools
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/3273480
OpenAlex ID: W2776729410
cites work: Fuzzy modeling and fuzzy control.
cites work: Reducing conservativeness in recent stability conditions of TS fuzzy systems
cites work: Stability analysis and controller design of discrete-time polynomial fuzzy time-varying delay systems
cites work: Finite-time stabilization via dynamic output feedback
cites work: Finite-time control of linear systems subject to parametric uncertainties and disturbances
cites work: Finite-time stabilisation for discrete-time T–S fuzzy model system with channel fading and two types of parametric uncertainty
description: scientific article; zbMATH DE number 6929548