Observer-Based Mixed ℋ2/ℋ∞ Tracking Control for Continuous-Time Systems with Integral Action and Pole Placement

The tracking problem for continuous-time systems is investigated. It is assumed that the states of the systems are not available. An observer is firstly designed to estimate the states by using the ℋ∞ method. The control action is consist of a state-feedback control, an integral component, and a fee...

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Main Author: Huxiong Li
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/840986
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author Huxiong Li
author_facet Huxiong Li
author_sort Huxiong Li
collection DOAJ
description The tracking problem for continuous-time systems is investigated. It is assumed that the states of the systems are not available. An observer is firstly designed to estimate the states by using the ℋ∞ method. The control action is consist of a state-feedback control, an integral component, and a feedforward loop. The linear-matrix-inequality region is used to constrain the eigenvalue location for the closed-loop systems. The control gains can be obtained by solving a sequence of linear matrix inequalities (LMIs) which can guarantee the mixed ℋ2/ℋ∞ performance for the closed-loop systems.
format Article
id doaj-art-291ecafa31db41149fc1e993df5f9d63
institution Kabale University
issn 1026-0226
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language English
publishDate 2012-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-291ecafa31db41149fc1e993df5f9d632025-08-20T03:54:47ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/840986840986Observer-Based Mixed ℋ2/ℋ∞ Tracking Control for Continuous-Time Systems with Integral Action and Pole PlacementHuxiong Li0Oujiang College, Wenzhou University, Wenzhou, Zhejiang 325027, ChinaThe tracking problem for continuous-time systems is investigated. It is assumed that the states of the systems are not available. An observer is firstly designed to estimate the states by using the ℋ∞ method. The control action is consist of a state-feedback control, an integral component, and a feedforward loop. The linear-matrix-inequality region is used to constrain the eigenvalue location for the closed-loop systems. The control gains can be obtained by solving a sequence of linear matrix inequalities (LMIs) which can guarantee the mixed ℋ2/ℋ∞ performance for the closed-loop systems.http://dx.doi.org/10.1155/2012/840986
spellingShingle Huxiong Li
Observer-Based Mixed ℋ2/ℋ∞ Tracking Control for Continuous-Time Systems with Integral Action and Pole Placement
Discrete Dynamics in Nature and Society
title Observer-Based Mixed ℋ2/ℋ∞ Tracking Control for Continuous-Time Systems with Integral Action and Pole Placement
title_full Observer-Based Mixed ℋ2/ℋ∞ Tracking Control for Continuous-Time Systems with Integral Action and Pole Placement
title_fullStr Observer-Based Mixed ℋ2/ℋ∞ Tracking Control for Continuous-Time Systems with Integral Action and Pole Placement
title_full_unstemmed Observer-Based Mixed ℋ2/ℋ∞ Tracking Control for Continuous-Time Systems with Integral Action and Pole Placement
title_short Observer-Based Mixed ℋ2/ℋ∞ Tracking Control for Continuous-Time Systems with Integral Action and Pole Placement
title_sort observer based mixed h2 h∞ tracking control for continuous time systems with integral action and pole placement
url http://dx.doi.org/10.1155/2012/840986
work_keys_str_mv AT huxiongli observerbasedmixedh2htrackingcontrolforcontinuoustimesystemswithintegralactionandpoleplacement