Extended H∞ control of descriptor systems

Zhen He; Guangxiong Wang; Xin Xin; Mita Tsutomu

Extended H∞ control of descriptor systems

Zhen He^*
, Guangxiong Wang
, Xin Xin
, Mita Tsutomu

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology
Institute of Science Tokyo

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

Abstract

The idea of using extended H∞ control to solve the non-standard H∞ problem for descriptor systems is discussed. And the necessary and sufficient conditions for the existence of a comprehensively stabilizing controller are proved. Based on the result of the quasi-admissible solutions of two generalized Riccati equations, a family of DS extended H∞ controllers are then given.

Original language	English
Pages (from-to)	671-676
Number of pages	6
Journal	Kongzhi Lilun Yu Yingyong/Control Theory and Applications
Volume	17
Issue number	5
State	Published - 2000

Keywords

Comprehensively stabilizing controller
Extended H∞ control
Generalized algebraic Riccati equation
Quasi-admissible solution

Cite this

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title = "Extended H∞ control of descriptor systems",

abstract = "The idea of using extended H∞ control to solve the non-standard H∞ problem for descriptor systems is discussed. And the necessary and sufficient conditions for the existence of a comprehensively stabilizing controller are proved. Based on the result of the quasi-admissible solutions of two generalized Riccati equations, a family of DS extended H∞ controllers are then given.",

keywords = "Comprehensively stabilizing controller, Extended H∞ control, Generalized algebraic Riccati equation, Quasi-admissible solution",

author = "Zhen He and Guangxiong Wang and Xin Xin and Mita Tsutomu",

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T1 - Extended H∞ control of descriptor systems

AU - He, Zhen

AU - Wang, Guangxiong

AU - Xin, Xin

AU - Tsutomu, Mita

PY - 2000

Y1 - 2000

N2 - The idea of using extended H∞ control to solve the non-standard H∞ problem for descriptor systems is discussed. And the necessary and sufficient conditions for the existence of a comprehensively stabilizing controller are proved. Based on the result of the quasi-admissible solutions of two generalized Riccati equations, a family of DS extended H∞ controllers are then given.

AB - The idea of using extended H∞ control to solve the non-standard H∞ problem for descriptor systems is discussed. And the necessary and sufficient conditions for the existence of a comprehensively stabilizing controller are proved. Based on the result of the quasi-admissible solutions of two generalized Riccati equations, a family of DS extended H∞ controllers are then given.

KW - Comprehensively stabilizing controller

KW - Extended H∞ control

KW - Generalized algebraic Riccati equation

KW - Quasi-admissible solution

UR - https://www.scopus.com/pages/publications/71149083281

M3 - 文章

AN - SCOPUS:71149083281

SN - 1000-8152

VL - 17

SP - 671

EP - 676

JO - Kongzhi Lilun Yu Yingyong/Control Theory and Applications

JF - Kongzhi Lilun Yu Yingyong/Control Theory and Applications

IS - 5

ER -

Extended H∞ control of descriptor systems

Abstract

Keywords

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