Publication

Relations between (H∞) optimal control of a nonlinear system and its linearization

Schaft, A. J. V. D., 1991, Proceedings of the 30th IEEE Conference on Decision and Control. University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science, p. 1807-1808 2 p.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

APA

Schaft, A. J. V. D. (1991). Relations between (H∞) optimal control of a nonlinear system and its linearization. In Proceedings of the 30th IEEE Conference on Decision and Control (pp. 1807-1808). University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science.

Author

Schaft, A.J. van der. / Relations between (H∞) optimal control of a nonlinear system and its linearization. Proceedings of the 30th IEEE Conference on Decision and Control. University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science, 1991. pp. 1807-1808

Harvard

Schaft, AJVD 1991, Relations between (H∞) optimal control of a nonlinear system and its linearization. in Proceedings of the 30th IEEE Conference on Decision and Control. University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science, pp. 1807-1808.

Standard

Relations between (H∞) optimal control of a nonlinear system and its linearization. / Schaft, A.J. van der.

Proceedings of the 30th IEEE Conference on Decision and Control. University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science, 1991. p. 1807-1808.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

Vancouver

Schaft AJVD. Relations between (H∞) optimal control of a nonlinear system and its linearization. In Proceedings of the 30th IEEE Conference on Decision and Control. University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science. 1991. p. 1807-1808


BibTeX

@inproceedings{115c04f88a6340c0b16681c7f7f2c4c6,
title = "Relations between (H∞) optimal control of a nonlinear system and its linearization",
abstract = "In a previous paper we showed some basic connections between H∞ control of a nonlinear control system and H∞ control of its linearization. A key argument was that the existence and parametrization, at least locally, of the stable invariant manifold of a certain Hamiltonian vector field is determined by the Hamiltonian matrix corresponding to the linearized problem. Using the same methodology we are able to give a quick proof of the fact that a nonlinear optimal control problem is locally solvable if the associated LQ problem is solvable. This was proved before under much stronger conditions.",
author = "Schaft, {A.J. van der}",
note = "Relation: https://www.rug.nl/informatica/onderzoek/bernoulli Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science",
year = "1991",
language = "English",
isbn = "0780304500",
pages = "1807--1808",
booktitle = "Proceedings of the 30th IEEE Conference on Decision and Control",
publisher = "University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science",

}

RIS

TY - GEN

T1 - Relations between (H∞) optimal control of a nonlinear system and its linearization

AU - Schaft, A.J. van der

N1 - Relation: https://www.rug.nl/informatica/onderzoek/bernoulli Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science

PY - 1991

Y1 - 1991

N2 - In a previous paper we showed some basic connections between H∞ control of a nonlinear control system and H∞ control of its linearization. A key argument was that the existence and parametrization, at least locally, of the stable invariant manifold of a certain Hamiltonian vector field is determined by the Hamiltonian matrix corresponding to the linearized problem. Using the same methodology we are able to give a quick proof of the fact that a nonlinear optimal control problem is locally solvable if the associated LQ problem is solvable. This was proved before under much stronger conditions.

AB - In a previous paper we showed some basic connections between H∞ control of a nonlinear control system and H∞ control of its linearization. A key argument was that the existence and parametrization, at least locally, of the stable invariant manifold of a certain Hamiltonian vector field is determined by the Hamiltonian matrix corresponding to the linearized problem. Using the same methodology we are able to give a quick proof of the fact that a nonlinear optimal control problem is locally solvable if the associated LQ problem is solvable. This was proved before under much stronger conditions.

M3 - Conference contribution

SN - 0780304500

SP - 1807

EP - 1808

BT - Proceedings of the 30th IEEE Conference on Decision and Control

PB - University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science

ER -

ID: 14402560