On the Optimal Control of Multidimensional Dynamic Systems Evolving with State Suprema

Vadim Azhmyakov, Erik I. Verriest, Luz A. Guzman Trujillo, Stefan W. Pickl

Resultado de la investigación: Capítulo del libro/informe/acta de congresoContribución a la conferenciaInvestigaciónrevisión exhaustiva

Resumen

This paper constitutes a further generalization of the numerical solution approaches to Optimal Control Problems (OCPs) of systems evolving with state suprema. We study multidimensional control systems described by differential equations with the sup-operator in the right hand sides. A specific state-observer model and the linear type feedback control design under consideration imply a resulting closed-loop system that can formally be characterized as a multidimensional Functional Differential Equation (FDE) with delays. We study OCPs associated with the obtained FDEs and establish some fundamental solution properties of this class of problems. A particular structure of the resulting dynamic optimization problem makes it possible to consider the originally given sophisticated OCP in the framework of the nonlinear separate programming in some Euclidean spaces. This fact makes it possible to apply effective and relative simple splitting type computational algorithms to the initially given sophisticated OCPs for systems evolving with state suprema.

Idioma originalInglés
Título de la publicación alojada2018 IEEE Conference on Decision and Control, CDC 2018
EditorialInstitute of Electrical and Electronics Engineers Inc.
Páginas61-66
Número de páginas6
ISBN (versión digital)9781538613955
DOI
EstadoPublicada - 18 ene 2019
Evento57th IEEE Conference on Decision and Control, CDC 2018 - Miami, Estados Unidos
Duración: 17 dic 201819 dic 2018

Serie de la publicación

NombreProceedings of the IEEE Conference on Decision and Control
Volumen2018-December
ISSN (versión impresa)0743-1546

Conferencia

Conferencia57th IEEE Conference on Decision and Control, CDC 2018
PaísEstados Unidos
CiudadMiami
Período17/12/1819/12/18

Huella dactilar

Multidimensional Systems
Supremum
Dynamic Systems
Optimal Control Problem
Dynamical systems
Optimal Control
Differential equations
Dynamic Optimization Problems
State Observer
Computational Algorithm
Nonlinear programming
Fundamental Solution
Functional Differential Equations
Nonlinear Programming
Control Design
Closed loop systems
Feedback Control
Closed-loop System
Feedback control
Mathematical operators

Citar esto

Azhmyakov, V., Verriest, E. I., Guzman Trujillo, L. A., & Pickl, S. W. (2019). On the Optimal Control of Multidimensional Dynamic Systems Evolving with State Suprema. En 2018 IEEE Conference on Decision and Control, CDC 2018 (pp. 61-66). [8618934] (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2018.8618934
Azhmyakov, Vadim ; Verriest, Erik I. ; Guzman Trujillo, Luz A. ; Pickl, Stefan W. / On the Optimal Control of Multidimensional Dynamic Systems Evolving with State Suprema. 2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 61-66 (Proceedings of the IEEE Conference on Decision and Control).
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Azhmyakov, V, Verriest, EI, Guzman Trujillo, LA & Pickl, SW 2019, On the Optimal Control of Multidimensional Dynamic Systems Evolving with State Suprema. En 2018 IEEE Conference on Decision and Control, CDC 2018., 8618934, Proceedings of the IEEE Conference on Decision and Control, vol. 2018-December, Institute of Electrical and Electronics Engineers Inc., pp. 61-66, Miami, Estados Unidos, 17/12/18. https://doi.org/10.1109/CDC.2018.8618934

On the Optimal Control of Multidimensional Dynamic Systems Evolving with State Suprema. / Azhmyakov, Vadim; Verriest, Erik I.; Guzman Trujillo, Luz A.; Pickl, Stefan W.

2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc., 2019. p. 61-66 8618934 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December).

Resultado de la investigación: Capítulo del libro/informe/acta de congresoContribución a la conferenciaInvestigaciónrevisión exhaustiva

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Azhmyakov V, Verriest EI, Guzman Trujillo LA, Pickl SW. On the Optimal Control of Multidimensional Dynamic Systems Evolving with State Suprema. En 2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc. 2019. p. 61-66. 8618934. (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2018.8618934