Optimal control processes associated with a class of discontinuous control systems: Applications to sliding mode dynamics

Arturo Enrique Gil García; Vadim Azhmyakov; Michael V. Basin

Kybernetika (2014)

  • Volume: 50, Issue: 1, page 5-18
  • ISSN: 0023-5954

Abstract

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This paper presents a theoretical approach to optimal control problems (OCPs) governed by a class of control systems with discontinuous right-hand sides. A possible application of the framework developed in this paper is constituted by the conventional sliding mode dynamic processes. The general theory of constrained OCPs is used as an analytic background for designing numerically tractable schemes and computational methods for their solutions. The proposed analytic method guarantees consistency of the resulting approximations related to the original infinite-dimensional optimization problem and leads to specific implementable algorithms.

How to cite

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Gil García, Arturo Enrique, Azhmyakov, Vadim, and Basin, Michael V.. "Optimal control processes associated with a class of discontinuous control systems: Applications to sliding mode dynamics." Kybernetika 50.1 (2014): 5-18. <http://eudml.org/doc/261134>.

@article{GilGarcía2014,
abstract = {This paper presents a theoretical approach to optimal control problems (OCPs) governed by a class of control systems with discontinuous right-hand sides. A possible application of the framework developed in this paper is constituted by the conventional sliding mode dynamic processes. The general theory of constrained OCPs is used as an analytic background for designing numerically tractable schemes and computational methods for their solutions. The proposed analytic method guarantees consistency of the resulting approximations related to the original infinite-dimensional optimization problem and leads to specific implementable algorithms.},
author = {Gil García, Arturo Enrique, Azhmyakov, Vadim, Basin, Michael V.},
journal = {Kybernetika},
keywords = {sliding mode; nonlinear systems; absolute continuous approximations; sliding mode; nonlinear systems; absolute continuous approximations},
language = {eng},
number = {1},
pages = {5-18},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Optimal control processes associated with a class of discontinuous control systems: Applications to sliding mode dynamics},
url = {http://eudml.org/doc/261134},
volume = {50},
year = {2014},
}

TY - JOUR
AU - Gil García, Arturo Enrique
AU - Azhmyakov, Vadim
AU - Basin, Michael V.
TI - Optimal control processes associated with a class of discontinuous control systems: Applications to sliding mode dynamics
JO - Kybernetika
PY - 2014
PB - Institute of Information Theory and Automation AS CR
VL - 50
IS - 1
SP - 5
EP - 18
AB - This paper presents a theoretical approach to optimal control problems (OCPs) governed by a class of control systems with discontinuous right-hand sides. A possible application of the framework developed in this paper is constituted by the conventional sliding mode dynamic processes. The general theory of constrained OCPs is used as an analytic background for designing numerically tractable schemes and computational methods for their solutions. The proposed analytic method guarantees consistency of the resulting approximations related to the original infinite-dimensional optimization problem and leads to specific implementable algorithms.
LA - eng
KW - sliding mode; nonlinear systems; absolute continuous approximations; sliding mode; nonlinear systems; absolute continuous approximations
UR - http://eudml.org/doc/261134
ER -

References

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