Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Optimal Control Law for the Flutter Suppression of a Wing Section in Compressible Flows

Version 1 : Received: 3 November 2023 / Approved: 6 November 2023 / Online: 6 November 2023 (10:28:47 CET)

How to cite: Muñoz, Á.; García-Fogeda, P. Optimal Control Law for the Flutter Suppression of a Wing Section in Compressible Flows. Preprints 2023, 2023110323. https://doi.org/10.20944/preprints202311.0323.v1 Muñoz, Á.; García-Fogeda, P. Optimal Control Law for the Flutter Suppression of a Wing Section in Compressible Flows. Preprints 2023, 2023110323. https://doi.org/10.20944/preprints202311.0323.v1

Abstract

This paper presents various procedures for determining the optimal control law for a wing section in compressible flow. The flow regime includes subsonic as well as supersonic flows. For the evolution of the system in the Laplace plane the present method makes use of the exact unsteady aerodynamic forces in the Laplace plane once the control law is established. This is a great advantage against other results previously published, where the unsteady aerodynamics in the Laplace plane are just approximations of the curve-fitted values in the frequency domain (imaginary axis). Different control techniques are investigated like pole-placement, LQR and H-infinity norm. Among these, the H-infinity norm emerges as the optimal choice, exhibiting a norm magnitude approximately two orders of magnitude lower than the LQR case. Furthermore, the H-infinity controller demonstrates lower pole values that those of the pole placement and LQR compensator, showing the advantage of the H-infinity controller in terms of economic efficiency.

Keywords

aeroservoelasticity; active flutter suppression; unsteady aerodynamics in the laplace domain; H-infinity

Subject

Engineering, Aerospace Engineering

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