自动化学报2016，Vol.42Issue(11)：1605-1619,15.DOI:10.16383/j.aas.2016.c160303
有限频域分析与设计的广义KYP引理方法综述
An Overview of Generalized KYP Lemma Based Methods for Finite Frequency Analysis and Design
摘要
Abstract
Frequency-domain methods are a fundamental research approach in control theory and engineering. Many control problems can be viewed as analysis and design issues of finite frequency specifications. The generalized Kalman-Yakubovich-Popov (KYP) lemma, which bridges frequency-domain methods (transfer functions) and time-domain methods (state-space models), has been one of the hotspots in systems and control theory in recent years. In this paper, the background and significance of finite frequency analysis and design are first introduced from signal and system perspectives, respectively. Three main research methods (classical control theory, frequency-weighting strategy and generalized system specification based methodology) are discussed with respect to their individual advantages and disadvantages. The body of the generalized KYP lemma is then introduced briefly, which is followed by a detailed summary of main directions and recent progresses in finite frequency analysis and design based on the generalized KYP lemma. Finally, a few notes are presented, which are important but commonly overlooked in applying the generalized KYP lemma, and a few critical problems in the field are also pointed out, which are worth future investigation.关键词
有限频域/广义Kalman-Yakubovich-Popov (KYP)引理/控制器设计/滤波/模型降阶Key words
Finite frequency/generalized Kalman-Yakubovich-Popov (KYP) lemma/controller design/filtering/model reduction引用本文复制引用
李贤伟,高会军..有限频域分析与设计的广义KYP引理方法综述[J].自动化学报,2016,42(11):1605-1619,15.基金项目
国家自然科学基金(61333012,61329301),东北大学流程工业综合自动化国家重点实验室资助Supported by National Natural Science Foundation of China (61333012,61329301), Key Laboratory of Integrated Automa-tion for the Process Industry, Northeast University （61333012,61329301）
