Disturbance rejection for fractional-order time-delay systems
type: Item
instance of: scholarly article
title: Disturbance rejection for fractional-order time-delay systems
zbMATH Open document ID: 1400.93195
DOI: 10.1155/2016/1316046
author: Hai-Peng Jiang
author: Yongqiang Liu
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: This paper presents an equivalent-input-disturbance (EID-) based disturbance rejection method for fractional-order time-delay systems. First, a modified state observer is applied to reconstruct the state of the fractional-order time-delay plant. Then, a disturbance estimator is designed to actively compensate for the disturbances. Under such a construction of the system, by constructing a novel monochromatic Lyapunov function and using direct Lyapunov approach, the stability analysis and controller design algorithm are derived in terms of linear matrix inequality (LMI) technique. Finally, simulation results demonstrate the validity of the proposed method.
Mathematics Subject Classification ID: 93C73
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34K37
zbMATH DE Number: 6952768
Wikidata QID: Q59130919
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/1316046
OpenAlex ID: W2479053489
cites work: Q4233638
cites work: Applications of fractional calculus in physics
cites work: Time-delay systems: an overview of some recent advances and open problems.
cites work: A generalized Gronwall inequality and its application to a fractional differential equation
cites work: Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
cites work: Q3114312
cites work: State feedbackH∞control of commensurate fractional-order systems
cites work: Disturbance rejection for time-delay systems based on the equivalent-input-disturbance approach
cites work: A Lyapunov approach to the stability of fractional differential equations
cites work: Non-fragile observer-based robust control for a class of fractional-order nonlinear systems
cites work: Lyapunov stability theorem about fractional system without and with delay
cites work: Comments on ``Lyapunov stability theorem about fractional system without and with delay''
cites work: Robust stabilization for a class of discrete-time non-linear systems via output feedback: The unified LMI approach
cites work: Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
description: scientific article; zbMATH DE number 6952768