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Anti-windup higher derivative Newton-based extremum seeking under input saturation

Farzaneh Karimi, Mohsen Mojiri, Roozbeh Izadi-Zamanabadi, Hossein Ramezani and Iman Izadi

International Journal of Systems Science, 2025, vol. 56, issue 8, 1834-1846

Abstract: The physical constraint of actuators in practical systems, such as actuator magnitude saturation, can significantly impact the behaviour of control systems. To address this issue, a fast learning mechanism is introduced in this paper for constrained input in higher derivatives Newton-based extremum seeking. The approach employs a constrained optimisation method with an anti-windup loop based on a wide range of penalty functions to adapt the search and prevent the violation of constraints, thereby avoiding windup of integral action in a controller. The practical asymptotic stability of the proposed algorithm is proven through a modified singular perturbation method, and its effectiveness is validated through simulations.

Date: 2025
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DOI: 10.1080/00207721.2024.2434898

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