Complexity Analysis of the Piece-Wise Affine Approximation for the Car on the Nonlinear Hill Model Related To Discrete–Time, Minimum Time Control Problem

Authors

  • P. Orlowski West Pomeranian University of Technology Szczecin, Poland

DOI:

https://doi.org/10.5755/j01.eee.20.10.4454

Keywords:

predictive control, optimisation, piecewise linear approximation, discrete-time systems

Abstract

The main aim of the paper is to analyse effectiveness of the approximation method from the nonlinear discretised into discrete piece-wise affine model. Accuracy and numerical complexity of the piece-wise affine control system grow with the number of polyhedral partitions, that describe the system. The model with state dependent nonlinearity can be effectively approximated by proposed secant piece-wise linear approximation. The effectiveness of the proposed method is evaluated on the car on the nonlinear hill model.

DOI: http://dx.doi.org/10.5755/j01.eee.20.10.4454

Author Biography

P. Orlowski, West Pomeranian University of Technology Szczecin, Poland

Department of Control and Measurements, West Pomeranian University of Technology Szczecin, Sikorskiego 37, 70-310 Szczecin, Poland

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Published

2014-12-15

How to Cite

Orlowski, P. (2014). Complexity Analysis of the Piece-Wise Affine Approximation for the Car on the Nonlinear Hill Model Related To Discrete–Time, Minimum Time Control Problem. Elektronika Ir Elektrotechnika, 20(10), 3-6. https://doi.org/10.5755/j01.eee.20.10.4454

Issue

Vol. 20 No. 10 (2014)

Section

AUTOMATION, ROBOTICS

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