论文标题

H2模型订单减少:相对错误设置

H2 Model Order Reduction: A Relative Error Setting

论文作者

Zulfiqar, Umair, Dua, Xin, Song, Qiuyan, Liaquat, Muwahida, Sreeram, Victor

论文摘要

在动态系统理论中,获得高阶模型的减少顺序近似的过程称为模型阶降低。通常,使用加法或相对误差系统的系统规范来衡量还原级模型与原始模型的紧密度。相对误差是评估许多应用程序(例如减少订单控制器和滤波器设计)的准确性方面的较高标准。在本文中,我们提出了一种倾斜投影算法,该算法将相对误差传递函数的H2标准最小化。算法中还原矩阵的选择是由相对误差传递函数(平方)H2 NORMA的局部优势的必要条件进行的。数值模拟证实,所提出的算法与平衡随机截断的准确性很好地比较,同时避免了大规模Riccati和Lyapunov方程的解决方案。

In dynamical system theory, the process of obtaining a reduced-order approximation of the high-order model is called model order reduction. The closeness of the reduced-order model to the original model is generally gauged by using system norms of additive or relative error system. The relative error is a superior criterion to the additive error in assessing accuracy in many applications like reduced-order controller and filter designs. In this paper, we propose an oblique projection algorithm that minimizes the H2 norm of the relative error transfer function. The selection of reduction matrices in the algorithm is motivated by the necessary conditions for local optima of the (squared) H2 norm of the relative error transfer function. Numerical simulation confirms that the proposed algorithm compares well in accuracy with balanced stochastic truncation while avoiding the solution of large-scale Riccati and Lyapunov equations.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源