English

Event-Triggered Extremum Seeking Control Systems

Optimization and Control 2023-12-15 v1 Systems and Control Systems and Control

Abstract

This paper proposes an event-triggered control scheme for multivariable extremum seeking of static maps. Both static and dynamic triggering conditions are developed. Integrating Lyapunov and averaging theories for discontinuous systems, a systematic design procedure and stability analysis are developed. Both event-based methods enable one to achieve an asymptotic stability result. Ultimately, the resulting closed-loop dynamics demonstrates the advantages of combining both approaches, namely, event-triggered control and extremum seeking. Although we keep the presentation using the classical event-triggered method, the extension of the results for the periodic event-triggered approach is also indicated. An illustration of the benefits of the new control method is presented using consistent simulation results, which compare the static and the dynamic triggering approaches.

Keywords

Cite

@article{arxiv.2312.08512,
  title  = {Event-Triggered Extremum Seeking Control Systems},
  author = {Victor Hugo Pereira Rodrigues and Tiago Roux Oliveira and Liu Hsu and Mamadou Diagne and Miroslav Krstic},
  journal= {arXiv preprint arXiv:2312.08512},
  year   = {2023}
}

Comments

21 pages, 6 figures, and 1 table

R2 v1 2026-06-28T13:50:17.551Z