TY - JOUR AU - Orlowski, P. PY - 2014/12/15 Y2 - 2025/01/02 TI - Complexity Analysis of the Piece-Wise Affine Approximation for the Car on the Nonlinear Hill Model Related To Discrete–Time, Minimum Time Control Problem JF - Elektronika ir Elektrotechnika JA - ELEKTRON ELEKTROTECH VL - 20 IS - 10 SE - DO - 10.5755/j01.eee.20.10.4454 UR - https://eejournal.ktu.lt/index.php/elt/article/view/4454 SP - 3-6 AB - 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. <p>DOI: <a href="http://dx.doi.org/10.5755/j01.eee.20.10.4454">http://dx.doi.org/10.5755/j01.eee.20.10.4454</a></p> ER -