Robust Stabilization of Controlled Positive Switched Linear Systems by Output Feedback

Robust Stabilization of Controlled Positive Switched Linear Systems by Output Feedback

This study focuses on the controller synthesis issues for constrained switched linear systems with uncertainties under mode-dependent average dwell time (MDADT) switching strategy. First, output feedback controllers ensure that the closed-loop systems are positive and asymptotically stable. Second,...

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Main Authors: Jinjin Liu, Ting Zhang
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2021/8783032
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spelling doaj-a0d469e3f4c049d58902301f638f09602021-09-06T00:01:44ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/8783032Robust Stabilization of Controlled Positive Switched Linear Systems by Output FeedbackJinjin Liu0Ting Zhang1Department of Mathematics and Information ScienceDepartment of Mathematics and Information ScienceThis study focuses on the controller synthesis issues for constrained switched linear systems with uncertainties under mode-dependent average dwell time (MDADT) switching strategy. First, output feedback controllers ensure that the closed-loop systems are positive and asymptotically stable. Second, the bounded controllers are acquired based on system states with interval and polytopic uncertainties. Also, the proposed approach can be applied to the systems with the constrained output. Then, the presented conditions can be formulated in terms of linear programming. Finally, illustrative example is provided to show the effectiveness of the theoretical results.http://dx.doi.org/10.1155/2021/8783032
collection DOAJ
language English
format Article
sources DOAJ
author Jinjin Liu
Ting Zhang
spellingShingle Jinjin Liu
Ting Zhang
Robust Stabilization of Controlled Positive Switched Linear Systems by Output Feedback
Mathematical Problems in Engineering
author_facet Jinjin Liu
Ting Zhang
author_sort Jinjin Liu
title Robust Stabilization of Controlled Positive Switched Linear Systems by Output Feedback
title_short Robust Stabilization of Controlled Positive Switched Linear Systems by Output Feedback
title_full Robust Stabilization of Controlled Positive Switched Linear Systems by Output Feedback
title_fullStr Robust Stabilization of Controlled Positive Switched Linear Systems by Output Feedback
title_full_unstemmed Robust Stabilization of Controlled Positive Switched Linear Systems by Output Feedback
title_sort robust stabilization of controlled positive switched linear systems by output feedback
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1563-5147
publishDate 2021-01-01
description This study focuses on the controller synthesis issues for constrained switched linear systems with uncertainties under mode-dependent average dwell time (MDADT) switching strategy. First, output feedback controllers ensure that the closed-loop systems are positive and asymptotically stable. Second, the bounded controllers are acquired based on system states with interval and polytopic uncertainties. Also, the proposed approach can be applied to the systems with the constrained output. Then, the presented conditions can be formulated in terms of linear programming. Finally, illustrative example is provided to show the effectiveness of the theoretical results.
url http://dx.doi.org/10.1155/2021/8783032
work_keys_str_mv AT jinjinliu robuststabilizationofcontrolledpositiveswitchedlinearsystemsbyoutputfeedback
AT tingzhang robuststabilizationofcontrolledpositiveswitchedlinearsystemsbyoutputfeedback
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