Development of unified schemes that consist of modeling through controller design using a prior information model

开发统一方案，包括使用先验信息模型通过控制器设计进行建模

基本信息

批准号：
14550451
负责人：
IMAI Jun
金额：
$ 2.3万
依托单位：
OKAYAMA UNIVERSITY (2003-2004)Osaka Prefecture University (2002)
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2002
资助国家：
日本
起止时间：
2002 至 2004
项目状态：
已结题

项目摘要

Concerning the development of unified schemes that consists of modeling through controller design using a priori information model, we have obtained the following results :1.A novel Auto Regressive(AR) model parameter estimation method has been proposed, which can utilize a prior information as well as time series data, by extending the Burg method on the basis of the Minimum Cross Entropy(MCE) principle. The proposed method has been applied to a spectral estimation of real speech signal and the estimated results have illustrated improved performances in comparison to those obtained by the Burg method.2.For flexible structures represented by spatially vibrating distributed parameter systems, unstructured uncertainty caused by perturbation of physical parameters has been characterized as a certain shape in complex plane. Laboratory experiments using flexible beam illustrate feasibility of the controller design based on the characterization. These results demonstrate possibility of further development of gray-box modeling scheme that shrinks feasible set of systems based on frequency response data.3.A regulator problem for a heat conduction system, of which the index is made of the spatio integral of the squared deviation from reference temperature distribution. It is shown that through characterizing frequency response from input to temperature at each spatial point, a distributed parameter system with nominal model and additive uncertainty weight, both of which are real rational, is reconstructed using knowledge of the eigenstructure. The formulated problem is proved to be reduced to a standard mixed H 2/H_infinity one for a lincar finite dimensional time-invariant system. Numerical study demonstrates feasibility of the proposed design scheme.

符合使用先验信息模型通过控制器设计进行建模的统一方案的开发，我们获得了以下结果：1。已提出了一种新型的自动回归（AR）模型参数估计方法，可以利用先验信息以及时间序列数据，通过扩展burg方法，该方法通过最小交叉熵（MCE）的基础扩展。所提出的方法已应用于真实语音信号的光谱估计，并且估计的结果与Burg方法相比提高了性能。2。对于通过空间振动分布式参数系统表示的柔性结构（由物理参数的扰动引起的非结构性不确定性）表示为某种形状，已将其表征为某种形状。实验室实验使用柔性光束说明了基于表征的控制器设计的可行性。这些结果证明了基于频率响应数据的可行系统缩小可行系统的可能性的可能性。3.热传导系统的调节器问题，其指数是由平方偏离参考温度分布的空间积分组成的指数。结果表明，通过表征从每个空间点的输入到温度的频率响应，具有标称模型和添加剂不确定性权重的分布式参数系统，两者都是真正的理性，是使用特征结构的知识重建的。事实证明，该法式问题被简化为标准的混合h 2/h_infinity，用于Lincar有限维度的时间流动系统。数值研究证明了拟议的设计方案的可行性。