Abstract
In this paper we report the numeric implementation of previously proposed symbolic non-standard discretization methods for nonlinear dynamical control systems. We discuss the advantages and disadvantages of both symbolic and numeric implementations, and illustrate them through their applications to case studies.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Oppenheim, A., Willsky, A., Hamid, S.: Signals and Systems, 2nd edn. Prentice-Hall, Englewood-Cliffs (1997)
Isermann, R.: Digital Control Systems, Fundamentals, Deterministic Control, vol. 1. Springer, Berlin (1989)
Rodríguez-Millán, J.: Sistemas Dinámicos (E-book), Universidad de Los Andes, Mérida (to appear, 2007)
Coddington, E., Levinson, N.: Theory of Ordinary Differential Equations. Tata McGraw-Hill Publishing Co, New Delhi (1977)
Rodríguez-Millán, J., González, C.: Three Mathematica Supported Proposals for the Discretization of Nonlinear Control Systems, Nonlinear Analysis 63, e617-628 (2005), Available online at http://www.sciencedirect.com
Rodríguez-Millán, J., González, C., Patete, A.: Analysis, Synthesis and Mimetization of Nonlinear Dynamical Control Systems Using Mathematica. In: Quesada-Arencibia, A., Moreno-Díaz, j.R., Rodríguez, J. (eds.) Cast and Tools for Robotics, Vehicular and Communication Systems, Eurocast 2005 - Extended Abstracts. IUCTC Universidad de Las Palmas de Gran Canarias, Las Palmas, pp. 316–320 (2005)
Rodríguez-Millán, J., González, C., Patete, A.: Improved Non-standard Discretization Methods for Nonlinear Dynamical Control Systems. In: Moreno Díaz, R., Pichler, F., Quesada Arencibia, A. (eds.) EUROCAST 2005. LNCS, vol. 3643, Springer, Heidelberg (2005)
Wolfram, S.: The Mathematica Book, 5th edn. Wolfram Media, USA (2003)
Patete, A.: Discretization of Nonlinear Systems, Case Study: A Cascade of Two Tanks, Universidad de Los Andes, Postgrado de Control y Automatización, Mérida (2007)
Patete, A.: Discretization of Nonlinear Systems, Case Study: Two Pendulum Mounted on a Chariot, Universidad de Los Andes, Postgrado de Control y Automatización, Mérida (2007)
Patete, A., Discretization of Nonlinear Systems, Case Study: The Centrifugal Pendulum, Universidad de Los Andes, Postgrado de Control y Automatización, Mérida (2007)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Rodríguez-Millán, J., Patete, A., González, C. (2007). Picard Discretization of Nonlinear Systems: Symbolic or Numeric Implementation?. In: Moreno Díaz, R., Pichler, F., Quesada Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2007. EUROCAST 2007. Lecture Notes in Computer Science, vol 4739. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75867-9_16
Download citation
DOI: https://doi.org/10.1007/978-3-540-75867-9_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-75866-2
Online ISBN: 978-3-540-75867-9
eBook Packages: Computer ScienceComputer Science (R0)