Conference Paper

Picard Discretization of Nonlinear Systems: Symbolic or Numeric Implementation?

DOI: 10.1007/978-3-540-75867-9_16 Conference: Computer Aided Systems Theory - EUROCAST 2007, 11th International Conference on Computer Aided Systems Theory, Las Palmas de Gran Canaria, Spain, February 12-16, 2007, Revised Selected Papers
Source: DBLP


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.

2 Reads
  • [Show abstract] [Hide abstract]
    ABSTRACT: In this work we report the validity, through implementation on a nonlinear dynamical control system: the simple pendulum, of the non-standard discretization methods, named: Euler, Euler-Picard and Euler-Taylor-Picard discretization methods. Those methods are based on Euler polygons, Picard iteration and Taylor series expansions, and were developed in previously works to digitize nonlinear dynamics. This work represents, the first step implementing discrete-time nonlinear control law using the non-standard discretization methods. The nonlinear control laws are designed using extended and exact linearization, for the states feedback control laws technique.
    Proceedings of the 9th WSEAS international conference on computational intelligence, man-machine systems and cybernetics; 12/2010
  • [Show abstract] [Hide abstract]
    ABSTRACT: AC induction motors became very popular for motion control applications due to their simple and reliable construction. Control of drives based on AC induction motors is a quite complex task. In most high-performance applications classical vector control is currently used. While this control method is usually reliable it has some limitations especially in controllers tuning and constraints handling. New control methods like Model Predictive Control become feasible in connection with increasing computational power of controller hardware. The paper deals with enhanced discrete time AC induction machine model which can be used for efficient predictive control implementation. The other objective of the paper is discussion of prediction horizon length on the drive control performance.
    IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society; 01/2012