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arXiv · 2408.13344

Extremum Seeking for Linear Time-Varying Systems with Unknown Control Directions

Frederic Mazenc·Michael Malisoff·Emilia Fridman
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Abstract

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.

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Frederic Mazenc, Michael Malisoff, Emilia Fridman. 2024-08-23. Extremum Seeking for Linear Time-Varying Systems with Unknown Control Directions. https://arxiv.org/abs/2408.13344

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