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Memorias de investigación
Capítulo de libro:
Cell Mapping based Techniques for tuning dynamical systems
Áreas de investigación
  • Aplicaciones a ingenierías y ciencias de la información
In this chapter, to be dedicated in the 90th birthday of Professor C. S. Hsu, several computational schemes are presented for the optimal tuning of the global behavior of nonlinear dynamical systems. Specifically, the maximization of the size of domains of attraction associated with invariants in parametrized dynamical systems is addressed. Cell Mapping (CM) techniques are used to estimate the size of the domains for different parameter values, and such size function is then maximized via several optimization methods. First, a genetic algorithm is tested whose performance shows to be good for determining global maxima at the expense of high computational cost. Secondly, an iterative scheme based on a Stochastic Approximation procedure (the Kiefer-Wolfowitz algorithm) is evaluated showing acceptable performance at low cost. Finally, several schemes combining neural network based estimations and model-based optimization procedures are addressed with promising results. The performance of the methods is illustrated with some applications including the well-known van der Pol equation with standard parametrization, and the tuning of a controller for saturated systems.
Edición del Libro
Editorial del Libro
Springer Science + Businee Media, LLC, New York, USA
Título del Libro
Global Analysis of Nonlinear Dynamics
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Esta actividad pertenece a memorias de investigación
  • Autor: Angela Castillo Lopez (UPM)
  • Autor: Pedro Jose Zufiria Zatarain (UPM)
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: Grupo de Sistemas Dinámicos, Aprendizaje y Control (SISDAC)
  • Departamento: Matemática Aplicada a las Tecnologías de la Información
S2i 2021 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
Cofinanciación del MINECO en el marco del Programa INNPACTO (IPT-020000-2010-22)