时域谱扰动不确定性模型有效性分析  

A Validation Analysis of the Uncertainty Models for the Perturbation of Spectra in a Time Domain

作　　者：黄勇[1] 王书宁[1] 戴建设 施学东[2,3] 

机构地区：[1]清华大学 [2]信阳师范大学 [3]华中理工大学自动控制工程系

出　　处：《华中理工大学学报》1997年第8期8-10,共3页Journal of Huazhong University of Science and Technology

摘　　要：就具有线性有理分式传递函数结构的不确定模型集，研究了谱扰动不确定性系统的模型有效性分析问题．首先给出了这类模型的有效性分析的判别定理，然后将问题转化为规划问题，并利用遗传算法进行求解．讨论了扰动集是时变和非时变的情况．分析表明。The validation of a time domain model for an uncertainty system with perturbation of spectra is discussed. The structure of the model is of transfer function with linear rational fraction. Some decision rules for the validity analysis are given. The problem is then transformed into one of mathematical programming, which has to be solved with a genetic algorithm to find a feasible solution to the biaffine matrix inequality (BMI). It is shown that a judgement whether the model set is valid or not can be made in finite steps. This paper is divided into three sections, (1) “Notation and Description of the Problem”, (2) “Model Validation Analysis”, for the perturbation in both time varying and time invariant cases, and (3) “Algorithm Analysis”.

关 键 词：鲁棒辩识 模型有效性 谱扰动模型 遗传算法 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]