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Improved Computation of Balancing Transformations for Aeroservoelastic Models via Time Scale Conversion

机译:通过时标转换改进了航空弹性模型的平衡变换的计算

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Design of modern control laws motivates the creation of state-space models from aeroservoelastic models. Balanced truncation is often used to create reduced-order models. In the present work, a reduced-order model that employs a change in time scale in computing the balancing transformation is developed. The transformation matrix necessary to transform the original aeroservoelastic model is found from the aeroservoelastic model employing the recast time scale. Results from an aeroservoelastic wing and a supersonic transport model are shown, and it is demonstrated that, with an appropriate choice of time scale, the methodology results in greatly improved conditioning for the Lyapunov equations used to find the Gramians employed in the balancing transformation.
机译:现代控制法的设计促使从航空弹性模型创建状态空间模型。平衡截断通常用于创建降阶模型。在本工作中,开发了在计算平衡变换时采用时间尺度变化的降阶模型。从采用重铸时标的航空弹性模型中找到转换原始航空弹性模型所需的转换矩阵。显示了航空气动弹性机翼和超音速输运模型的结果,结果表明,在适当选择时间尺度的情况下,该方法可以大大改善Lyapunov方程的条件,以寻找用于平衡变换的Gramian方程。

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