高技术通讯2026，Vol.36Issue(2)：191-202,12.DOI:10.3772/j.issn.1002-0470.2026.02.008
基于负定不变集的吸引域估计和动态输出反馈镇定
Negative-definite invariant set approach for dynamic output feedback stabilization with domain of attraction estimation
摘要
Abstract
A design method for a dynamic output feedback controller is proposed for general nonlinear discrete-time sys-tems.Firstly,sufficient conditions for the dynamic output feedback stabilization with an estimated domain of attrac-tion(DOA)are provided.For a given Lyapunov function of system and controller states,a negative definite invari-ant set under output feedback control is introduced,which can be considered as an unstructured collection of dy-namic output feedback controllers.The negative definite invariant set,projected onto the state space,serves as an estimate of the closed-loop DOA.The design problem for the controller is then transformed into a set approximation problem in Euclidean space based on the negative definite invariant set.The bottleneck of dealing with strong non-linearity is alleviated through the use of numerical set approximation methods.Secondly,a method for estimating the negative definite invariant set is proposed based on interval analysis,aiming to find an internal approximation of the desired accuracy for the set.关键词
输出反馈/一般非线性系统/负定不变集/吸引域/区间分析Key words
output feedback/general nonlinear system/negative-definite invariant set/domain of attraction/interval analysis引用本文复制引用
朱龙飞,陆超伦,李永强..基于负定不变集的吸引域估计和动态输出反馈镇定[J].高技术通讯,2026,36(2):191-202,12.基金项目
国家自然科学基金(62073294)资助项目. （62073294）
