Observatorio de I+D+i UPM

Memorias de investigación
Book chapters:
Cell Mapping based Techniques for tuning dynamical systems
Year:2012
Research Areas
  • Applications for ingineerings and sciences
Information
Abstract
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.
International
Si
10.1007/978-1-4614-3128-2
Book Edition
1
Book Publishing
Springer Science + Businee Media, LLC, New York, USA
ISBN
978-1-4614-3127-5
Series
Book title
Global Analysis of Nonlinear Dynamics
From page
31
To page
50
Participants
  • Autor: Angela Castillo Lopez (UPM)
  • Autor: Pedro Jose Zufiria Zatarain (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Grupo de Sistemas Dinámicos, Aprendizaje y Control (SISDAC)
  • Departamento: Matemática Aplicada a las Tecnologías de la Información
S2i 2019 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
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