LPV modeling and controller design for body freedom flutter suppression subject to actuator saturation

Wei, Tang; Wang, Yu; Gu, Jian; Sun, Zhimei

doi:10.1016/j.cja.2020.05.027

Cited by 4 publications

(1 citation statement)

References 28 publications

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“…Therefore, nonlinear models of flexible aircraft can be approximated as a gridding-based linear parametervarying (LPV) model [14], which consists of a family of state-space representations linearized at different airspeeds (i.e., grid points or operating points). However, for most flutter control schemes, a controller is usually first designed at a chosen grid point and then verified at other grid points [15][16][17][18][19]. The single-point design method is not only a tedious process, it also cannot guarantee performance and even stability when the airspeed varies between grid points.…”

Section: Introductionmentioning

confidence: 99%

Oblique Projection-Based Modal Matching Algorithm for LPV Model Order Reduction of Aeroservoelastic Systems

Liu

Gao

et al. 2023

Aerospace

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An aeroservoelastic system can be described as a gridding-based linear parameter-varying (LPV) model, whose dynamic characteristics usually vary with the airspeed. Due to the high order of the system, it is necessary to perform order reduction on LPV models to overcome the control design challenges. However, when directly extending linear time-invariant (LTI) model order reduction technologies to the LPV system, states of the reduced-order LTI models generated separately at different grid points could be inconsistent. In this paper, a novel modal matching algorithm is proposed to solve the problem of state inconsistency by identifying the internal connection between the models at adjacent grid points. An oblique projection-based distance metric is defined to improve the reliability of the modal matching algorithm. The reduced-order LPV model constructed based on this method would have a high fidelity relative to the original model and a smooth interpolation performance between grid points. The proposed algorithm is applied to the X-56A aircraft, and numerical results show its effectiveness.

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