Improved non-standard discretization methods for nonlinear dynamical control systems

Authors:
Jesús Rodríguez-Millán;Carla González;Anna Patete
Affiliations:
Facultad de Ingeniería – Dept. Sistemas de Control, Universidad de Los Andes, Mérida, Venezuela;Facultad de Ingeniería – Dept. Sistemas de Control, Universidad de Los Andes, Mérida, Venezuela;Facultad de Ingeniería – Dept. Sistemas de Control, Universidad de Los Andes, Mérida, Venezuela
Venue:
EUROCAST'05 Proceedings of the 10th international conference on Computer Aided Systems Theory
Year:
2005

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Abstract

In this paper we describe two modified versions of the Euler-Picard and Euler-Taylor-Picard discretization methods for nonlinear dynamical control systems. We use an upper bound for the absolute difference of each pair of consecutive Picard iterations, in the first case to control the number of Picard iterations, and in the second case to control the sampling frequency, while keeping the maximum allowed number of Picard iterations fixed. These non-standard discretization methods are used to support the construction of computer animated mimics of nonlinear dynamical control systems.