H-infinity controllers synthesized on 8-9 DOF reduced-order models of nonlinear flexible aircraft can robustly alleviate gust loads on the full nonlinear system.
Nonlinear Model Order Reduction for Coupled Aeroelastic-Flight Dynamic Systems
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abstract
A systematic approach to nonlinear model order reduction (NMOR) of coupled fluid-structureflight dynamics systems of arbitrary fidelity is presented. The technique employs a Taylor series expansion of the nonlinear residual around equilibrium states, retaining up to third-order terms, and projects the high-dimensional system onto a small basis of eigenvectors of the coupled-system Jacobian matrix. The biorthonormality of right and left eigenvectors ensures optimal projection, while higher-order operators are computed via matrix-free finite difference approximations. The methodology is validated on three test cases of increasing complexity: a three-degree-of-freedom aerofoil with nonlinear stiffness (14 states reduced to 4), a HALE aircraft configuration (2,016 states reduced to 9), and a very flexible flying-wing (1,616 states reduced to 9). The reduced-order models achieve computational speedups of up to 600 times while accurately capturing the nonlinear dynamics, including large wing deformations exceeding 10% of the wingspan. The second-order Taylor expansion is shown to be sufficient for describing cubic structural nonlinearities, eliminating the need for third-order terms. The framework is independent of the full-order model formulation and applicable to higher-fidelity aerodynamic model
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cs.CE 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
MRAC with Lyapunov stability is formulated for gust load alleviation in nonlinear aeroelastic systems, demonstrating superior performance over H-infinity control in UAV gust and turbulence tests.
A self-contained state-space framework couples geometrically-exact beam theory, Theodorsen aerodynamics with indicial gust functions, and quaternion flight dynamics for free-flying flexible aircraft encountering atmospheric gusts.
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H Infinity Robust Control for Gust Load Alleviation of Geometrically Nonlinear Flexible Aircraft
H-infinity controllers synthesized on 8-9 DOF reduced-order models of nonlinear flexible aircraft can robustly alleviate gust loads on the full nonlinear system.
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Model Reference Adaptive Control For Gust Load Allevation of Nonlinear Aeroelastic
MRAC with Lyapunov stability is formulated for gust load alleviation in nonlinear aeroelastic systems, demonstrating superior performance over H-infinity control in UAV gust and turbulence tests.
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A coupled Aeroelastic-Flight Dynamic Framework for Free-Flying Flexible Aircraft with Gust Interactions
A self-contained state-space framework couples geometrically-exact beam theory, Theodorsen aerodynamics with indicial gust functions, and quaternion flight dynamics for free-flying flexible aircraft encountering atmospheric gusts.