Work

Bounded Extremum Seeking for Static Quadratic Maps Using Nonlinear Transformation and Lyapunov Method

Year: 2024

Type: article

Abstract: We present a new practical stability analysis for a bounded gradient based extremum seeking problem for two variable static quadratic maps that contain a time-varying additive measurement uncertainty. Instead of using earlier averaging-based approaches, we introduce a new state transformation, a time-varying quadratic Lyapunov function, and a comparison principle to obtain essentially less conservative bounds on the dither frequency and on the ultimate bound of the estimation error compared with earlier results. Our numerical example illustrates the efficiency of the method.

Source: IEEE Transactions on Automatic Control

DOI: 10.1109/tac.2024.3504356

Authors: Frederic Mazenc, Michael Malisoff, Emilia Fridman

Institutions: Centre National de la Recherche Scientifique, Institut national de recherche en sciences et technologies du numérique, DISCO: Systèmes dynamiques interconnectés dans des environnements complexes, Louisiana State University, Tel Aviv University

Language: English

Topic: Extremum Seeking Control Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Israel Science Foundation

Awards: G177156421, Collaborative Research: Designs and Theory for Interval Contractors and Reference Governors with Aerospace Applications