Design of partial optimal control for a nonlinear system and application to the attitude control of a control moment gyro

Kazuo Ishikawa; Noboru Sakamoto; Daisuke Shiraki

Design of partial optimal control for a nonlinear system and application to the attitude control of a control moment gyro

Kazuo Ishikawa, Noboru Sakamoto, Daisuke Shiraki

Research output: Contribution to conference › Paper › peer-review

2 Scopus citations

Abstract

In this report, we consider the partial optimal control problem for a nonlinear system including conserved quantities. It is shown that the partial stabilization problem can be put in the framework of the output regulation problem. Using this framework, we propose a design method of optimal controllers for systems with a conservation law based on center-stable manifold computation, which is recently proposed one of the authors. It is, then, applied to the optimal attitude control for a control moment gyroscope. Simulation as well as experiment results show the effectiveness of the proposed approach, especially in terms of energy consumption.

Original language	English
Pages	1865-1871
Number of pages	7
State	Published - 2013
Externally published	Yes
Event	2013 52nd Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2013 - Nagoya, Japan Duration: Sep 14 2013 → Sep 17 2013

Conference

Conference	2013 52nd Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2013
Country/Territory	Japan
City	Nagoya
Period	09/14/13 → 09/17/13

Keywords

Center manifold
Conservation law
Hamilton-jacobi equation
Optimal control
Output regulation

Cite this

@conference{333027545b3c49d9ba003692e88e575a,

title = "Design of partial optimal control for a nonlinear system and application to the attitude control of a control moment gyro",

abstract = "In this report, we consider the partial optimal control problem for a nonlinear system including conserved quantities. It is shown that the partial stabilization problem can be put in the framework of the output regulation problem. Using this framework, we propose a design method of optimal controllers for systems with a conservation law based on center-stable manifold computation, which is recently proposed one of the authors. It is, then, applied to the optimal attitude control for a control moment gyroscope. Simulation as well as experiment results show the effectiveness of the proposed approach, especially in terms of energy consumption.",

keywords = "Center manifold, Conservation law, Hamilton-jacobi equation, Optimal control, Output regulation",

author = "Kazuo Ishikawa and Noboru Sakamoto and Daisuke Shiraki",

year = "2013",

language = "English",

pages = "1865--1871",

note = "2013 52nd Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2013 ; Conference date: 14-09-2013 Through 17-09-2013",

}

Design of partial optimal control for a nonlinear system and application to the attitude control of a control moment gyro. / Ishikawa, Kazuo; Sakamoto, Noboru; Shiraki, Daisuke.
2013. 1865-1871 Paper presented at 2013 52nd Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2013, Nagoya, Japan.

Research output: Contribution to conference › Paper › peer-review

TY - CONF

T1 - Design of partial optimal control for a nonlinear system and application to the attitude control of a control moment gyro

AU - Ishikawa, Kazuo

AU - Sakamoto, Noboru

AU - Shiraki, Daisuke

PY - 2013

Y1 - 2013

N2 - In this report, we consider the partial optimal control problem for a nonlinear system including conserved quantities. It is shown that the partial stabilization problem can be put in the framework of the output regulation problem. Using this framework, we propose a design method of optimal controllers for systems with a conservation law based on center-stable manifold computation, which is recently proposed one of the authors. It is, then, applied to the optimal attitude control for a control moment gyroscope. Simulation as well as experiment results show the effectiveness of the proposed approach, especially in terms of energy consumption.

AB - In this report, we consider the partial optimal control problem for a nonlinear system including conserved quantities. It is shown that the partial stabilization problem can be put in the framework of the output regulation problem. Using this framework, we propose a design method of optimal controllers for systems with a conservation law based on center-stable manifold computation, which is recently proposed one of the authors. It is, then, applied to the optimal attitude control for a control moment gyroscope. Simulation as well as experiment results show the effectiveness of the proposed approach, especially in terms of energy consumption.

KW - Center manifold

KW - Conservation law

KW - Hamilton-jacobi equation

KW - Optimal control

KW - Output regulation

UR - http://www.scopus.com/inward/record.url?scp=84888603594&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84888603594

SP - 1865

EP - 1871

T2 - 2013 52nd Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2013

Y2 - 14 September 2013 through 17 September 2013

ER -

Design of partial optimal control for a nonlinear system and application to the attitude control of a control moment gyro

Abstract

Conference

Keywords

Other files and links

Fingerprint

Cite this