A finite dimensional modeling with explicit error bounds for spectral systems
A finite dimensional modeling with explicit error bounds for spectral systems
复制标题
光谱系统具有显式误差界限的有限维建模
DOI：
10.1109/cdc.1996.574343
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
K. Wada
中科院分区：
文献类型：
--
作者：
J. Imai;K. Wada
本文提出了一种具有无界输入/输出算子的稳定自伴谱系统的降阶建模技术。利用线性鲁棒控制理论，针对有限维控制器设计问题，建立了覆盖原分布参数系统的不确定性模型。该模型由有限维标称对象和频域附加误差界组成。标称模型是包含在标称对象和系统之间没有直流误差的馈通项的模式截断。这个界限可以利用系统的元素和光谱结构的部分知识来计算。所得到的公式可以很容易地适用于包括热传导和扩散在内的广泛的系统，并且很容易推广到具有振动的系统。
In this paper, we present a reduced order modeling technique for a stable self-adjoint spectral system with unbounded input/output operators. An uncertainty model which covers the original distributed parameter system is formulated in view of finite dimensional controller design using linear robust control theory. The model is made of a finite dimensional nominal plant and frequency domain additive error bounds. The nominal model is a modal truncation containing a feed-through term with no dc errors between the nominal plant and the system. The bound is computable using elements of the system and partial knowledge of spectral structure. The formula obtained can be readily applicable to a wide class of systems including heat conduction and diffusion, and easily extended for systems with vibration.