H∞ control for systems with two classes of disturbances

Huanshui Zhang; Hongxia Wang; Xuan Wang

H_∞ control for systems with two classes of disturbances

Huanshui Zhang^*
, Hongxia Wang
, Xuan Wang

^*Corresponding author for this work

Shandong University
Shenzhen University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

The paper considers H_∞ preview control problem for the systems simultaneous involving the unpreviewable disturbance. Due to the outer optimization is a control problem for the systems with multiple channels and a single delay, the problem is a nontrivial extension of the existed results. The paper aims to provide the necessary and sufficient condition under which the problem is solvable. The condition and the desired controller are based on an H_∞-like Riccati equation with the same dimension as the system with a null delay, which plays a role as the H_∞ Riccati equation in the standard H_∞ control problem does. The idea can also be applied to solve H_∞ problem for systems with multiple and different preview channels.

Original language	English
Title of host publication	Proceedings of the 31st Chinese Control Conference, CCC 2012
Pages	183-188
Number of pages	6
State	Published - 2012
Externally published	Yes
Event	31st Chinese Control Conference, CCC 2012 - Hefei, China Duration: 25 Jul 2012 → 27 Jul 2012

Publication series

Name	Chinese Control Conference, CCC
ISSN (Print)	1934-1768
ISSN (Electronic)	2161-2927

Conference

Conference	31st Chinese Control Conference, CCC 2012
Country/Territory	China
City	Hefei
Period	25/07/12 → 27/07/12

Keywords

H control
Riccati equation
preview control

Cite this

@inproceedings{23f1b24197d54d66a3d6f78145d560e6,

title = "H∞ control for systems with two classes of disturbances",

abstract = "The paper considers H∞ preview control problem for the systems simultaneous involving the unpreviewable disturbance. Due to the outer optimization is a control problem for the systems with multiple channels and a single delay, the problem is a nontrivial extension of the existed results. The paper aims to provide the necessary and sufficient condition under which the problem is solvable. The condition and the desired controller are based on an H∞-like Riccati equation with the same dimension as the system with a null delay, which plays a role as the H∞ Riccati equation in the standard H∞ control problem does. The idea can also be applied to solve H∞ problem for systems with multiple and different preview channels.",

keywords = "H control, Riccati equation, preview control",

author = "Huanshui Zhang and Hongxia Wang and Xuan Wang",

year = "2012",

language = "英语",

isbn = "9789881563811",

series = "Chinese Control Conference, CCC",

pages = "183--188",

booktitle = "Proceedings of the 31st Chinese Control Conference, CCC 2012",

note = "31st Chinese Control Conference, CCC 2012 ; Conference date: 25-07-2012 Through 27-07-2012",

}

TY - GEN

T1 - H∞ control for systems with two classes of disturbances

AU - Zhang, Huanshui

AU - Wang, Hongxia

AU - Wang, Xuan

PY - 2012

Y1 - 2012

N2 - The paper considers H∞ preview control problem for the systems simultaneous involving the unpreviewable disturbance. Due to the outer optimization is a control problem for the systems with multiple channels and a single delay, the problem is a nontrivial extension of the existed results. The paper aims to provide the necessary and sufficient condition under which the problem is solvable. The condition and the desired controller are based on an H∞-like Riccati equation with the same dimension as the system with a null delay, which plays a role as the H∞ Riccati equation in the standard H∞ control problem does. The idea can also be applied to solve H∞ problem for systems with multiple and different preview channels.

AB - The paper considers H∞ preview control problem for the systems simultaneous involving the unpreviewable disturbance. Due to the outer optimization is a control problem for the systems with multiple channels and a single delay, the problem is a nontrivial extension of the existed results. The paper aims to provide the necessary and sufficient condition under which the problem is solvable. The condition and the desired controller are based on an H∞-like Riccati equation with the same dimension as the system with a null delay, which plays a role as the H∞ Riccati equation in the standard H∞ control problem does. The idea can also be applied to solve H∞ problem for systems with multiple and different preview channels.

KW - H control

KW - Riccati equation

KW - preview control

UR - https://www.scopus.com/pages/publications/84873536338

M3 - 会议稿件

AN - SCOPUS:84873536338

SN - 9789881563811

T3 - Chinese Control Conference, CCC

SP - 183

EP - 188

BT - Proceedings of the 31st Chinese Control Conference, CCC 2012

T2 - 31st Chinese Control Conference, CCC 2012

Y2 - 25 July 2012 through 27 July 2012

ER -