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

Wenqiang Ji; Anqing Wang; Jianbin Qiu

doi:10.1109/ACCESS.2017.2663525

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

Wenqiang Ji
, Anqing Wang
, Jianbin Qiu^*

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

This paper proposes a novel decentralized robust \mathscr H-{\infty } 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.

Original language	English
Article number	7839984
Pages (from-to)	1977-1989
Number of pages	13
Journal	IEEE Access
Volume	5
DOIs	https://doi.org/10.1109/ACCESS.2017.2663525
State	Published - 2017

Keywords

Large-scale systems
dynamic output feedback
fuzzy-affine models
robust control

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10.1109/ACCESS.2017.2663525

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

abstract = "This paper proposes a novel decentralized robust \textbackslash{}mathscr H-\{\textbackslash{}infty \} 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.",

keywords = "Large-scale systems, dynamic output feedback, fuzzy-affine models, robust control",

author = "Wenqiang Ji and Anqing Wang and Jianbin Qiu",

note = "Publisher Copyright: {\textcopyright} 2013 IEEE.",

year = "2017",

doi = "10.1109/ACCESS.2017.2663525",

language = "英语",

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AU - Ji, Wenqiang

AU - Wang, Anqing

AU - Qiu, Jianbin

PY - 2017

Y1 - 2017

N2 - This paper proposes a novel decentralized robust \mathscr H-{\infty } 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.

AB - This paper proposes a novel decentralized robust \mathscr H-{\infty } 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.

KW - Large-scale systems

KW - dynamic output feedback

KW - fuzzy-affine models

KW - robust control

UR - https://www.scopus.com/pages/publications/85015725131

U2 - 10.1109/ACCESS.2017.2663525

DO - 10.1109/ACCESS.2017.2663525

M3 - 文章

AN - SCOPUS:85015725131

SN - 2169-3536

VL - 5

SP - 1977

EP - 1989

JO - IEEE Access

JF - IEEE Access

M1 - 7839984

ER -

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

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Keywords

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