文献类型：期刊文献

中文题名：基于方差分解的一类非线性串级控制系统性能评估

英文题名：Control Performance Assessment Based on Variance Decomposition for a Class of Nonlinear Cascade Systems

作者：王雅斌[1];孙京诰[1]

机构：[1]华东理工大学信息科学与工程学院化工过程先进控制和优化技术教育部重点实验室,上海200237

年份：2016

卷号：42

期号：4

起止页码：537

中文期刊名：华东理工大学学报（自然科学版）

外文期刊名：Journal of East China University of Science and Technology

收录：CSTPCD;;Scopus;北大核心:【北大核心2014】；CSCD:【CSCD2015_2016】；

语种：中文

中文关键词：性能评估;非线性;面向块模型;串级控制;方差分解

外文关键词：performance assessment;nonlinear;block-oriented model;cascade systems;variance decomposition

摘要：最小方差下限代表在输出方差方面控制系统所能达到的最优性能。对于一类存在过程非线性的串级控制系统,传统的线性系统评估方法会造成最小方差下限估计值过大。首先证明一类表示为面向块模型的非线性串级控制系统最小方差下限的存在,其仅与若干主、副回路扰动项有关;然后通过系统输入输出数据建立多项式模型近似描述非线性串级控制系统,利用方差分解公式,采用蒙特卡罗方法进行统计模拟实验,估计这些扰动项对输出总方差的贡献量,进而确定最小方差下限估计值;最后通过与线性评估方法的比较,表明了该方法估计此类串级控制系统性能的有效性和正确性。
The minimum variance lower bound（MVLB）represents the best control performance in an output variance sense.For a class of nonlinear cascade systems,the traditional linear assessment method will cause an overlarge estimate on the system performance.In this work,the existence of MVLB of the block-oriented nonlinear cascade system is firstly proved,which just depends on the disturbances of several primary loop and secondary loop.And then,the system input and output data is utilized to reconstruct polynomial models for approximating describing the nonlinear cascade systems.By means of variance decomposition,Monte Carlo strategy is used to calculate the contribution of these disturbances items and determine MVLB estimate.Finally,it is shown from the comparison with linear assessment method that the proposed method is efficient and accurate for this class of nonlinear cascade systems.