Decentralized Fixed-Order Piecewise Affine Dynamic Output Feedback Controller Design for Discrete-Time Nonlinear Large-Scale Systems

This paper proposes a novel decentralized robust H<sub>&#x221E;</sub> fixed-order dynamic output feedback (DOF) controller design approach for discrete-time nonlinear large-scale systems via Takagi-Sugeno fuzzy-affine models. By a state-input augmentation method and piecewise quadrat...

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Main Authors: Wenqiang Ji, Anqing Wang, Jianbin Qiu
Format: Article
Language:English
Published: IEEE 2017-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/7839984/
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author Wenqiang Ji
Anqing Wang
Jianbin Qiu
author_facet Wenqiang Ji
Anqing Wang
Jianbin Qiu
author_sort Wenqiang Ji
collection DOAJ
description This paper proposes a novel decentralized robust H<sub>&#x221E;</sub> fixed-order dynamic output feedback (DOF) controller design approach for discrete-time nonlinear large-scale systems via Takagi-Sugeno fuzzy-affine models. By a state-input augmentation method and piecewise quadratic Lyapunov functions, some sufficient conditions for decentralized fixed-order piecewise affine DOF controller synthesis are given. It is shown that by some convexification techniques, the controller gains can be obtained by solving a set of linear matrix inequalities. Two simulation examples are carried out to verify the effectiveness of the proposed design method.
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spelling doaj.art-ffb22670b6ea48a1b0f0f373de0e2cb22022-12-21T23:06:04ZengIEEEIEEE Access2169-35362017-01-0151977198910.1109/ACCESS.2017.26635257839984Decentralized Fixed-Order Piecewise Affine Dynamic Output Feedback Controller Design for Discrete-Time Nonlinear Large-Scale SystemsWenqiang Ji0Anqing Wang1Jianbin Qiu2https://orcid.org/0000-0001-7707-6159Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, ChinaResearch Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, ChinaResearch Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, ChinaThis paper proposes a novel decentralized robust H<sub>&#x221E;</sub> fixed-order dynamic output feedback (DOF) controller design approach for discrete-time nonlinear large-scale systems via Takagi-Sugeno fuzzy-affine models. By a state-input augmentation method and piecewise quadratic Lyapunov functions, some sufficient conditions for decentralized fixed-order piecewise affine DOF controller synthesis are given. It is shown that by some convexification techniques, the controller gains can be obtained by solving a set of linear matrix inequalities. Two simulation examples are carried out to verify the effectiveness of the proposed design method.https://ieeexplore.ieee.org/document/7839984/Large-scale systemsfuzzy-affine modelsrobust controldynamic output feedback
spellingShingle Wenqiang Ji
Anqing Wang
Jianbin Qiu
Decentralized Fixed-Order Piecewise Affine Dynamic Output Feedback Controller Design for Discrete-Time Nonlinear Large-Scale Systems
IEEE Access
Large-scale systems
fuzzy-affine models
robust control
dynamic output feedback
title Decentralized Fixed-Order Piecewise Affine Dynamic Output Feedback Controller Design for Discrete-Time Nonlinear Large-Scale Systems
title_full Decentralized Fixed-Order Piecewise Affine Dynamic Output Feedback Controller Design for Discrete-Time Nonlinear Large-Scale Systems
title_fullStr Decentralized Fixed-Order Piecewise Affine Dynamic Output Feedback Controller Design for Discrete-Time Nonlinear Large-Scale Systems
title_full_unstemmed Decentralized Fixed-Order Piecewise Affine Dynamic Output Feedback Controller Design for Discrete-Time Nonlinear Large-Scale Systems
title_short Decentralized Fixed-Order Piecewise Affine Dynamic Output Feedback Controller Design for Discrete-Time Nonlinear Large-Scale Systems
title_sort decentralized fixed order piecewise affine dynamic output feedback controller design for discrete time nonlinear large scale systems
topic Large-scale systems
fuzzy-affine models
robust control
dynamic output feedback
url https://ieeexplore.ieee.org/document/7839984/
work_keys_str_mv AT wenqiangji decentralizedfixedorderpiecewiseaffinedynamicoutputfeedbackcontrollerdesignfordiscretetimenonlinearlargescalesystems
AT anqingwang decentralizedfixedorderpiecewiseaffinedynamicoutputfeedbackcontrollerdesignfordiscretetimenonlinearlargescalesystems
AT jianbinqiu decentralizedfixedorderpiecewiseaffinedynamicoutputfeedbackcontrollerdesignfordiscretetimenonlinearlargescalesystems