A novel model reduction method based on balanced truncation

作者：Yao WeiGang^*; Xu Min; Chen ZhiMin

来源：Science in China - Series E: Technological Sciences , 2009, 52(11): 3207-3214.

DOI：10.1007/s11431-009-0292-0

• balanced truncation
• snapshot
• reduced-order model
• unsteady aerodynamic force

The main goal of this paper is to construct an efficient reduced-order model (ROM) for unsteady aerodynamic force modeling. Balanced truncation (BT) is presented to address the problem. For conventional BT method, it is necessary to compute exact controllability and observability grammians. Although it is relatively straightforward to compute these matrices in a control setting where the system order is moderate, the technique does not extend easily to high order systems. In response to the challenge, snapshots-BT (S-BT) method is introduced for high order system ROM construction. The outline idea of the S-BT method is that snapshots of primary and dual system approximate the controllability and observability matrices in the frequency domain. The method has been demonstrated for 3 high order systems: (1) unsteady motion of a two-dimensional airfoil in response to gust, (2) AGARD 445.6 wing aeroelastic system, and (3) BACT (benchmark active control technology) standard aeroservoelastic system. All the results indicate that S-BT based ROM is efficient and accurate enough to provide a powerful tool for unsteady aerodynamic force modeling.

• 出版日期2009-11
• 单位西北工业大学