发表刊物：International Journal of Control
摘要：This paper studies the H2 model reduction problem for negative imaginary (NI) systems. For a given high-order system that is stable and NI, our goal is to approximate it by a low-order NI system so that the H2 norm of the approximation error system is minimized. By using the Galerkin projection, the H2 model reduction problem is formulated as a minimization problem over the Stiefel manifold. The first-order necessary condition is derived for the construction of a local optimal reduced-order system. A gradient descent algorithm is provided to solve the first-order necessary condition. The resulting reduced-order system preserves the stability and the NI structure of the original system. Finally, two examples are presented to demonstrate the effectiveness of the proposed H2 model reduction method.
第一作者：余兰林
论文类型：期刊论文
通讯作者：熊军林
是否译文：否
发表时间：2020-03-04
收录刊物：SCI