奇异摄动系统的高频动态分析和设计

项目名称： 奇异摄动系统的高频动态分析和设计

项目编号： No.61304089

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 自动化技术、计算机技术

项目作者： 梅平

作者单位： 南京信息工程大学

项目金额： 23万元

中文摘要： 大量实际系统都具有多尺度特性，通常被建模成奇异摄动模型。时标分解技术是处理这类快、慢动态耦合复杂系统的有效工具。但现有的时标分解技术不区分该类系统在低频段和高频段的不同特性，均作全频处理，这给系统优化设计带来很大的保守性且无法有效应用于工程实际。为此，本项目拟将快、慢分解的经典控制思想与奇异摄动系统自身的频率特性相结合，提出并研究一类分时标、分频标的复合协调控制策略。以奇异摄动系统有限频段 H∞控制为突破口，寻找快、慢尺度动态最佳分频点，进而研究奇异摄动系统有限频段H∞滤波器设计；采用广义KYP引理和Lambert-W函数，研究时滞奇异摄动系统在有限频段上的复合控制器设计，进而研究时滞奇异摄动系统H∞ 滤波；采用广义内模定理和基于未知输入观测器研究时滞奇异摄动系统在有限频段的故障诊断及检测技术，进而设计时滞奇异摄动系统的附加容错控制器。并将项目所提关键技术应用于电力系统故障诊断和检测中。

中文关键词： 时滞奇异摄动系统；有限频段；广义KYP引理；滤波；故障诊断

英文摘要： Many physics systems have multi-time scale property, which usually be modelled as singularly perturbed model. Singular perturbation and time scale decomposition is an efficient technique to deal with such complex systems, coupled with fast and slow dynamics.However,when considering the optimization analysis and design, the exist technique considered it in the overall frequency,resulting of more conservatism for design and thus can not apply it to the industry control efficiently, since it did not realize the singularly perturbed systems have the different property in frequency scale.This project will combine the time-scale decomposition and its inherent frequency property, suggesting a new control strategy:composite、coordination control based on time-scale decomposition and frequency-scale decomposition. The project start from H∞ robust tracking of singularly perturbed systems, using generalized KYP lemma to study how the frequency values in high and low frequency affect the tracking performance of the original systems; Moreover,using the new optimization model to study the H∞ filtering in the finite frequency;Using the Generalized KYP lemma and Lambert-W function to study the composite controller in the finite frequency, moreover study the H∞ filtering for the delayed singularly perturbed systems in the finite

英文关键词： Time-delayed singularly perturbed systems；Finite frequency；Generalized KYP lemma；Filtering；Fault diagnosis