2024/05/10 by Adam Waterman, Martin Guay, Waterman, Adam +3
Engineering · #Extremum Seeking Control Systems #FOS: Mathematics #Iterative Learning Control Systems #Optimization and Control (math.OC)
paper · pdf · doi:10.48550/arxiv.2405.06759
openalex publication_date 2024/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a dual mode extremum seeking control design technique that achieves real-time optimization of an unknown measured cost function in a prescribed time. The controller is shown to achieve semi-global practical stability of the optimal equilibrium for the state variables and the input variable for a class of nonlinear dynamical control systems with unknown dynamics. The design technique proposes a timescale transformation that enables the use of dither signals with increasing frequencies. The proposed timescale transformation is designed to avoid the singularity occurring at the prescribed time. A simulation study is performed to demonstrate the effectiveness of the proposed technique.