Finite-time output feedback controller based on observer for the time-varying delayed systems: a Moore-Penrose inverse approach
type: Item
instance of: scholarly article
title: Finite-time output feedback controller based on observer for the time-varying delayed systems: a Moore-Penrose inverse approach
zbMATH Open document ID: 1426.93045
DOI: 10.1155/2017/2808094
author: Cong-Trang Nguyen
author: Y.-W. Tsai
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: This study proposes a novel variable structure control (VSC) for the mismatched uncertain systems with unknown time-varying delay. The novel VSC includes the finite-time convergence sliding mode, invariance property, asymptotic stability, and measured output only. A necessary and sufficient condition guaranteeing the existence of sliding surface is given. A novel lemma is established to deal with the control design problem for a wider class of time-delay systems. A suitable reduced-order observer (ROO) is constructed to estimate unmeasured state variables of the systems. A novel finite-time output feedback controller (FTOFC) is investigated, which is based on the ROO tool and the Moore-Penrose inverse technique. Moreover, with the help of this lemma and the proposed FTOFC, restrictions on most existing works are also eliminated. In addition, an asymptotic stability analysis is implemented by means of the feasibility of the linear matrix inequalities (LMIs) and given desirable sliding mode dynamics. Finally, a MATLAB simulation result on a numerical example is performed to show the effectiveness and advantage of the proposed method.
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 93B52
zbMATH DE Number: 6971907
Wikidata QID: Q59147425
describes a project that uses: LMI toolbox
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/2808094
OpenAlex ID: W2618243124
cites work: A sufficiently large time delay in feedback loop must destroy exponential stability of any decay rate
cites work: Observer-based adaptive sliding mode control for nonlinear Markovian jump systems
cites work: Sliding mode observer–controller design for uncertain Markovian jump systems with time delays
cites work: \(H_\infty\) observer-based sliding mode control for uncertain stochastic systems with time-varying delays
cites work: Discrete-time sliding mode control for uncertain networked system subject to time delay
cites work: Reduced-order observers for linear neutral delay systems
cites work: Time-Delay Systems: Design of Delay-Free and Low-Order Observers
cites work: State and Parameter Estimation for Nonlinear Delay Systems Using Sliding Mode Techniques
cites work: Linear Matrix Inequalities in System and Control Theory
cites work: Robust H∞ filter design for uncertain linear systems with multiple time-varying state delays
cites work: Robust H/sub ∞/ filtering of linear systems with time-varying delay
cites work: Robust control of delay systems: a sliding mode control design via LMI
cites work: Sliding-mode control of uncertain systems in the presence of unmatched disturbances with applications
cites work: Sliding mode variable structure control for parameter uncertain stochastic systems with time-varying delay
cites work: Robust observer design for Itô stochastic time-delay systems via sliding mode control
cites work: Output feedback and single-phase sliding mode control for complex interconnected systems
cites work: H ∞ observer design for uncertain nonlinear discrete‐time systems with time‐delay: LMI optimization approach
cites work: An LMI-based switching surface design method for a class of mismatched uncertain systems
cites work: Variable structure output feedback control design for a class of uncertain dynamic systems
cites work: RobustH∞sliding mode control for a class of uncertain switched delay systems
cites work: Static output feedback sliding mode control for time-varying delay systems with time-delayed nonlinear disturbances
description: scientific article; zbMATH DE number 6971907