Finite-time bounded tracking control for linear discrete-time systems
type: Item
instance of: scholarly article
title: Finite-time bounded tracking control for linear discrete-time systems
zbMATH Open document ID: 1427.93135
DOI: 10.1155/2018/7017135
author: Fucheng Liao
author: Yingxue Wu
author: Jiamei Deng
author: Xiao Yu
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: A finite-time bounded tracking control problem for a class of linear discrete-time systems subject to disturbances is investigated. Firstly, by applying a difference method to constructing the error system, the problem is transformed into a finite-time boundedness problem of the output vector of the error system. In fact, this is a finite-time boundedness problem with respect to the partial variables. Secondly, based on the partial stability theory and the research methods of finite-time boundedness problem, a state feedback controller formulated in form of linear matrix inequality is proposed. Based on this, a finite-time bounded tracking controller of the original system is obtained. Finally, a numerical example is presented to illustrate the effectiveness of the controller.
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 7019383
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/7017135
OpenAlex ID: W2811034242
cites work: ON THE STABILITY OF SYSTEMS DEFINED OVER A FINITE TIME INTERVAL
cites work: Q5555195
cites work: Finite-time control of linear systems subject to parametric uncertainties and disturbances
cites work: Finite-time control of discrete-time linear systems
cites work: Finite-time control of discrete-time linear systems: analysis and design conditions
cites work: A novel finite-time stability criterion for linear discrete-time stochastic system with applications to consensus of multi-agent system
cites work: Dilated LMI characterization for the robust finite time control of discrete-time uncertain linear systems
cites work: Finite-time stability and \(H_{\infty}\) control of linear discrete-time delay systems with norm-bounded disturbances
cites work: 不确定离散时滞系统的 H ∞ 保性能预见控制
cites work: Cooperative global optimal preview tracking control of linear multi-agent systems: an internal model approach
cites work: Optimal preview control for discrete-time systems in multirate output sampling
Wikidata QID: Q129649171
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description: scientific article; zbMATH DE number 7019383