Frequency-domain modelling of reset control systems using an impulsive description

R. N. Buitenhuis, N. Saikumar, S. Hassan HosseinNia*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Downloads (Pure)


The ever-increasing industry desire for improved performance makes linear controller design run into fundamental limitations. Nonlinear control methods such as Reset Control (RC) are needed to overcome these. RC is a promising candidate since, unlike other nonlinear methods, it easily integrates into the industry-preferred PID design framework. Thus far, RC has been analysed in the frequency domain either through describing function analysis or by direct closed-loop numerical computation. The former computes a simplified closed-loop RC response by assuming a sufficient low-pass behaviour. In doing so it ignores all harmonics, which literature has found to cause significant modelling prediction errors. The latter gives a precise solution, but by its direct closed-loop computation does not clearly show how open-loop RC design translates to closed-loop performance. The main contribution of this work is aimed at overcoming these limitations by considering an alternative approach for modelling RC using state-dependent impulse inputs. This permits accurately computing closed-loop RC behaviour starting from the underlying linear system, improving system understanding. A frequency-domain description for closed-loop RC is obtained, which is solved analytically by using several well-defined assumptions. This analytical solution is verified using a simulated high-precision stage, critically examining sources of modelling errors. The accuracy of the proposed method is further substantiated using controllers designed for various specifications.

Original languageEnglish
Article number101341
Number of pages26
JournalNonlinear Analysis: Hybrid Systems
Publication statusPublished - 2023


  • Closed-loop
  • Describing function
  • Frequency domain
  • Impulsive modelling
  • Mechatronics
  • Motion control
  • Nonlinear control
  • Precision control
  • Reset control


Dive into the research topics of 'Frequency-domain modelling of reset control systems using an impulsive description'. Together they form a unique fingerprint.

Cite this