Decentralized H∞ Control for Uncertain Interconnected Systems of Neutral Type via Dynamic Output Feedback

The design of the dynamic output feedback H∞ control for uncertain interconnected systems of neutral type is investigated. In the framework of Lyapunov stability theory, a mathematical technique dealing with the nonlinearity on certain matrix variables is developed to obtain the solvability conditio...

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Main Authors: Heli Hu, Dan Zhao
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/989703
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author Heli Hu
Dan Zhao
author_facet Heli Hu
Dan Zhao
author_sort Heli Hu
collection DOAJ
description The design of the dynamic output feedback H∞ control for uncertain interconnected systems of neutral type is investigated. In the framework of Lyapunov stability theory, a mathematical technique dealing with the nonlinearity on certain matrix variables is developed to obtain the solvability conditions for the anticipated controller. Based on the corresponding LMIs, the anticipated gains for dynamic output feedback can be achieved by solving some algebraic equations. Also, the norm of the transfer function from the disturbance input to the controlled output is less than the given index. A numerical example and the simulation results are given to show the effectiveness of the proposed method.
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spelling doaj-art-0edcae6309164ae7abfc27dec47afd742025-08-20T02:02:09ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/989703989703Decentralized H∞ Control for Uncertain Interconnected Systems of Neutral Type via Dynamic Output FeedbackHeli Hu0Dan Zhao1Key Laboratory of Manufacturing Industrial Integrated Automation, Shenyang University, Shenyang 110044, ChinaDepartment of Fundamental Teaching, Shenyang Institute of Engineering, Shenyang 110136, ChinaThe design of the dynamic output feedback H∞ control for uncertain interconnected systems of neutral type is investigated. In the framework of Lyapunov stability theory, a mathematical technique dealing with the nonlinearity on certain matrix variables is developed to obtain the solvability conditions for the anticipated controller. Based on the corresponding LMIs, the anticipated gains for dynamic output feedback can be achieved by solving some algebraic equations. Also, the norm of the transfer function from the disturbance input to the controlled output is less than the given index. A numerical example and the simulation results are given to show the effectiveness of the proposed method.http://dx.doi.org/10.1155/2014/989703
spellingShingle Heli Hu
Dan Zhao
Decentralized H∞ Control for Uncertain Interconnected Systems of Neutral Type via Dynamic Output Feedback
Abstract and Applied Analysis
title Decentralized H∞ Control for Uncertain Interconnected Systems of Neutral Type via Dynamic Output Feedback
title_full Decentralized H∞ Control for Uncertain Interconnected Systems of Neutral Type via Dynamic Output Feedback
title_fullStr Decentralized H∞ Control for Uncertain Interconnected Systems of Neutral Type via Dynamic Output Feedback
title_full_unstemmed Decentralized H∞ Control for Uncertain Interconnected Systems of Neutral Type via Dynamic Output Feedback
title_short Decentralized H∞ Control for Uncertain Interconnected Systems of Neutral Type via Dynamic Output Feedback
title_sort decentralized h∞ control for uncertain interconnected systems of neutral type via dynamic output feedback
url http://dx.doi.org/10.1155/2014/989703
work_keys_str_mv AT helihu decentralizedhcontrolforuncertaininterconnectedsystemsofneutraltypeviadynamicoutputfeedback
AT danzhao decentralizedhcontrolforuncertaininterconnectedsystemsofneutraltypeviadynamicoutputfeedback