On the optimal control of systems evolving with state suprema

Vadim Azhmyakov, Aftab Ahmed, Erik I. Verriest

Resultado de la investigación: Contribución a una conferenciaPaper

11 Citas (Scopus)

Resumen

© 2016 IEEE. This paper studies optimal control processes governed by a specific family of systems described by functional differential equations (FDEs) involving the sup-operator. Systems evolving with the state suprema constitute a useful abstraction for various models of technological and biological processes. The specific theoretic framework incorporates state suprema in the right hand side of the initially given differential equation and finally leads to a FDE with the state-dependent delays. We study a class of nonlinear FDE-featured optimal control problems (OCPs) in the presence of some additional control constraints. Our aim is to develop implementable first-order optimality conditions for the retarded OCPs under consideration. We use the celebrated Lagrange approach and prove a variant of the Pontryagin-like Minimum Principle for the given OCPs. Moreover, we discuss a computational approach to the main dynamic optimization problems and also consider a possible application of the developed methodology to the Maximum Power Point Tracking (MPPT) control of solar energy plants.
Idioma originalInglés estadounidense
Páginas3617-3623
Número de páginas7
DOI
EstadoPublicada - 27 dic 2016
Evento2016 IEEE 55th Conference on Decision and Control, CDC 2016 -
Duración: 27 dic 2016 → …

Conferencia

Conferencia2016 IEEE 55th Conference on Decision and Control, CDC 2016
Período27/12/16 → …

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    Azhmyakov, V., Ahmed, A., & Verriest, E. I. (2016). On the optimal control of systems evolving with state suprema. 3617-3623. Papel presentado en 2016 IEEE 55th Conference on Decision and Control, CDC 2016, . https://doi.org/10.1109/CDC.2016.7798813