Observer-based bounded control for discrete time-delay uncertain nonlinear systems
type: Item
instance of: scholarly article
title: Observer-based bounded control for discrete time-delay uncertain nonlinear systems
zbMATH Open document ID: 1418.93153
DOI: 10.1155/2015/135248
author: Xianqiang Yang
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: A bounded controller is proposed for a class of uncertain discrete time-delay systems with nonlinearity and disturbance based on state estimator and disturbance observer technique. A state estimator is developed to estimate the unmeasured system state vector. Suppose that the disturbance is generated by an exogenous system; a disturbance observer is designed to estimate the unknown disturbance. The parameters of the state estimator and the disturbance observer are calculated by solving linear matrix inequalities (LMIs). By applying the outputs of the state estimator and the disturbance observer, the sufficient condition for the existence of the bounded controller is derived based on an appropriate Lyapunov function candidate. Under the developed bounded controller, the stability of the closed-loop system can be guaranteed. Simulation examples are provided to show the effectiveness of the proposed bounded control scheme.
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 7025223
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/135248
OpenAlex ID: W2173989700
Wikidata QID: Q59105287
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description: scientific article; zbMATH DE number 7025223