Paper Abstract and Keywords |
Presentation |
2007-12-19 14:25
Global perturbation method for Hamilton-Jacobi equations of nonlinear control systems Kazuyuki Yagasaki (Gifu Univ.), Noboru Sakamoto (Nagoya Univ.), Yoshihiro Hirata (Ishii Lab.) NLP2007-111 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
We develop a global perturbation technique for obtaining approximate but analytical expressions of stabilizing solutions to Hamilton-Jacobi equations for nonlinear control systems. To this end, we approximately compute the stable manifolds of the equilibria in the corresponding Hamiltonian systems and use their relation to the stabilizing solutions.
Our basic idea for the computation is similar to an extension of Melnikov's method, which is a well known technique for detecting homoclinic orbits to equilibria or periodic orbits. We illustrate the developed technique for the Duffing oscillator as an example. A numerical computation for the stable manifold is also given and compared with the theoretical result to demonstrate the validity of this techinique. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
nonlinear control / Hamilton-Jacobi equation / global perturbation / stable manifold / dynamical systems theory / Melnikov's method / optimal control / |
Reference Info. |
IEICE Tech. Rep., vol. 107, no. 399, NLP2007-111, pp. 17-21, Dec. 2007. |
Paper # |
NLP2007-111 |
Date of Issue |
2007-12-12 (NLP) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
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NLP2007-111 |
Conference Information |
Committee |
NLP |
Conference Date |
2007-12-19 - 2007-12-20 |
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(See Japanese page) |
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Paper Information |
Registration To |
NLP |
Conference Code |
2007-12-NLP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Global perturbation method for Hamilton-Jacobi equations of nonlinear control systems |
Sub Title (in English) |
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Keyword(1) |
nonlinear control |
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Hamilton-Jacobi equation |
Keyword(3) |
global perturbation |
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stable manifold |
Keyword(5) |
dynamical systems theory |
Keyword(6) |
Melnikov's method |
Keyword(7) |
optimal control |
Keyword(8) |
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1st Author's Name |
Kazuyuki Yagasaki |
1st Author's Affiliation |
Gifu University (Gifu Univ.) |
2nd Author's Name |
Noboru Sakamoto |
2nd Author's Affiliation |
Nagoya University (Nagoya Univ.) |
3rd Author's Name |
Yoshihiro Hirata |
3rd Author's Affiliation |
Ishii Laboratory (Ishii Lab.) |
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Speaker |
Author-1 |
Date Time |
2007-12-19 14:25:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2007-111 |
Volume (vol) |
vol.107 |
Number (no) |
no.399 |
Page |
pp.17-21 |
#Pages |
5 |
Date of Issue |
2007-12-12 (NLP) |