2024/08/23 by Frédéric Mazenc, Mazenc, Frederic, Michael Malisoff +3
Engineering · #Extremum Seeking Control Systems #FOS: Mathematics #Optimization and Control (math.OC)
paper · pdf · doi:10.48550/arxiv.2408.13344
openalex publication_date 2024/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider bounded extremum seeking controls for time-varying linear systems with uncertain coefficient matrices and measurement uncertainty. Using a new change of variables, Lyapunov functions, and a comparison principle, we provide practical exponential stability bounds for the states of the closed loop systems that hold for all nonnegative times. For the first time for linear time-varying systems with unknown control directions, we consider bounded extremum seeking controls in the presence of uncertain time-varying input delays with small time-varying delay uncertainties, and we provide reduction model controllers to compensate for the constant part of the delays.