Event-Triggered Extremum Seeking Control Systems

TL;DR

This paper introduces an event-triggered control scheme for multivariable extremum seeking of static maps, combining Lyapunov and averaging theories to ensure stability and improve control efficiency.

Contribution

It develops static and dynamic triggering conditions for extremum seeking, providing a systematic design and stability analysis for the combined control approach.

Findings

Achieves asymptotic stability with event-triggered methods

Demonstrates advantages of combining event-triggered control with extremum seeking

Simulation results compare static and dynamic triggering approaches

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.