Extremum seeking control with vanishing dither signal
Published in Proceedings of the 2026 AIAA Scitech Forum, 2026
The extremum-seeking (ES) control is a powerful technique for online optimization that offers theoretical guarantees for convergence to the optimizer’s neighborhood in an average sense under well-understood conditions. However, ES framework requires a time-varying dither signal to estimate the cost gradient to yield convergent results, which often result in steady-state oscillations. This paper extends the extremum-seeking control framework by replacing the fixed-amplitude dither with a dynamic system that adaptively generates a high-amplitude dither when the system is far from the optimum, and a vanishing dither as the system output approaches the local extremum. The performance of the extended ES algorithm is illustrated via numerical examples.
Paper: Link
Recommended citation: J. M. Portella Delgado, J. A. Paredes Salazar, and A. Goel, "Extremum seeking control with vanishing dither signal," in AIAA SCITECH 2026 Forum, 2026, p. 1759.