摘要
双时间尺度系统最优控制设计方法是近年来的研究热点。本文对双时间尺度系统最优控制的设计方法、双时间尺度系统的特性分析、双时间尺度系统最优控制问题相关应用等方面进行了全面的梳理。首先,给出双时间尺度系统最优控制问题的数学模型,并分析相关研究的关键难点;其次,分别给出基于模型和数据驱动的双时间尺度系统最优控制设计方法;然后,综述双时间尺度系统稳定性和次优性分析方法;接下来,概述了双时间尺度系统最优控制方法的应用案例;最后,展望双时间尺度系统最优控制的研究方向。
The design method of optimal control for two-time-scale systems is a research hotspot in recent years.In this paper,the design method for optimal control of two-time-scale systems,characteristic analysis of two-time-scale systems and related application of optimal control for two-time-scale systems are reviewed.Firstly,the mathematical model and challenges for optimal control problem of two-time-scale systems are given.Secondly,the model based and data-driven design methods for optimal control of two-time-scale systems are presented respectively.Then,the analysis methods for stability and sub-optimality of the two-time-scale systems are presented.Next,the typical application cases of optimal control of two-time-scale systems are summarized.Finally,the future research directions for optimal control of two-time-scale systems are prospected.
作者
钟珊珊
杨春雨
黄新利
ZHONG Shan-shan;YANG Chun-yu;HUANG Xin-li(School of Electrical and Power EngineeringChina University of Mining and Technology,Xuzhou 221006,China;School of Information and Control Engineering,China University of Mining and Technology,Xuzhou 221006,China;Jiuqan Satellite Launch Center,Jiuquan 73500,China)
出处
《控制工程》
CSCD
北大核心
2020年第12期2226-2233,共8页
Control Engineering of China
基金
国家自然科学基金项目(61873272)。
关键词
双时间尺度系统
奇异摄动理论
最优控制
稳定性
次优性
Two-time-scale systems
singularly perturbed theory
optimal control
stability
sub-optimality
