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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.

本文在利用先验信息模型进行建模和控制器设计的统一方案方面，取得了以下成果：1.基于最小交叉熵（MCE）原理，对布尔格（Burg）方法进行了扩展，提出了一种既能利用先验信息又能利用时间序列数据的自回归（AR）模型参数估计方法。将该方法应用于真实的语音信号的谱估计，其估计结果与布尔格方法相比有明显的改善。2.对于空间振动分布参数系统所代表的柔性结构，由物理参数摄动引起的非结构不确定性被表征为复平面上的某种形状。利用柔性梁进行的实验验证了基于该特性的控制器设计的可行性。这些结果表明，进一步发展灰箱建模方案，缩小可行的系统的频率响应数据的基础上的可能性。3.调节器的热传导系统的问题，其指标是从参考温度分布的平方偏差的空间积分。研究表明，通过表征空间各点处输入到温度的频率响应，利用特征结构知识重构出具有真实的有理数的标称模型和附加不确定性权重的分布参数系统。对于有限维线性定常系统，证明了该问题可化为一个标准的混合H2/H_infinity问题.数值研究表明了所提出的设计方案的可行性。