A linear-matrix-inequality based design method of reduced-order controllers for singular H∞ control problems

Lei Guo; Xin Xin; Chunbo Feng

A linear-matrix-inequality based design method of reduced-order controllers for singular H∞ control problems

Lei Guo^*
, Xin Xin
, Chunbo Feng

^*此作品的通讯作者

Southeast University, Nanjing

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

This paper considers reduced-order controllers for singular H∞ control problem in which the generalized plant not only has infinite zeros, but also has finite zeros on imaginary axis. We obtain the following important result via the method of linear matrix inequality; If the singular H∞ problem considered is solvable, then there must exist reduced order controllers. The result generalizes the previous results about reduced order controller for singular H∞ problems. Finally we give feasible and explicit design steps for constructing the reduced-order controller.

源语言	英语
期刊	Kongzhi Lilun Yu Yingyong/Control Theory and Applications
卷	13
期	6
出版状态	已出版 - 1996
已对外发布	是

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title = "A linear-matrix-inequality based design method of reduced-order controllers for singular H∞ control problems",

abstract = "This paper considers reduced-order controllers for singular H∞ control problem in which the generalized plant not only has infinite zeros, but also has finite zeros on imaginary axis. We obtain the following important result via the method of linear matrix inequality; If the singular H∞ problem considered is solvable, then there must exist reduced order controllers. The result generalizes the previous results about reduced order controller for singular H∞ problems. Finally we give feasible and explicit design steps for constructing the reduced-order controller.",

keywords = "H∞ controls, Matrix inequality, Reduced-order controller, Robust control",

author = "Lei Guo and Xin Xin and Chunbo Feng",

year = "1996",

language = "英语",

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journal = "Kongzhi Lilun Yu Yingyong/Control Theory and Applications",

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T1 - A linear-matrix-inequality based design method of reduced-order controllers for singular H∞ control problems

AU - Guo, Lei

AU - Xin, Xin

AU - Feng, Chunbo

PY - 1996

Y1 - 1996

N2 - This paper considers reduced-order controllers for singular H∞ control problem in which the generalized plant not only has infinite zeros, but also has finite zeros on imaginary axis. We obtain the following important result via the method of linear matrix inequality; If the singular H∞ problem considered is solvable, then there must exist reduced order controllers. The result generalizes the previous results about reduced order controller for singular H∞ problems. Finally we give feasible and explicit design steps for constructing the reduced-order controller.

AB - This paper considers reduced-order controllers for singular H∞ control problem in which the generalized plant not only has infinite zeros, but also has finite zeros on imaginary axis. We obtain the following important result via the method of linear matrix inequality; If the singular H∞ problem considered is solvable, then there must exist reduced order controllers. The result generalizes the previous results about reduced order controller for singular H∞ problems. Finally we give feasible and explicit design steps for constructing the reduced-order controller.

KW - H∞ controls

KW - Matrix inequality

KW - Reduced-order controller

KW - Robust control

UR - https://www.scopus.com/pages/publications/71149100818

M3 - 文章

AN - SCOPUS:71149100818

SN - 1000-8152

VL - 13

JO - Kongzhi Lilun Yu Yingyong/Control Theory and Applications

JF - Kongzhi Lilun Yu Yingyong/Control Theory and Applications

IS - 6

ER -

A linear-matrix-inequality based design method of reduced-order controllers for singular H∞ control problems

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