Boundary Value Problems (May 2025)

Determining the intersample response of state feedback control systems using boundary value problems

  • Tamás Haba,
  • Csaba Budai

DOI
https://doi.org/10.1186/s13661-025-02064-0
Journal volume & issue
Vol. 2025, no. 1
pp. 1 – 13

Abstract

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Abstract This paper investigates intersample dynamics, a key aspect of sampled-data systems, as the controlled processes are usually physical systems. We present a novel, boundary value problem-based method to reconstruct the continuous-time response from the output samples in the case of state feedback control. Numerical examples and experiments on a DC motor drive show that the proposed method can reveal hidden intersample vibrations that are overlooked by discrete-time models and traditional interpolation techniques.

Keywords