曲阜师范大学学报（自然科学版）2026，Vol.52Issue(1)：19-33,15.DOI:10.3969/j.issn.1001-5337.202406.047
一类分数阶抛物型PDE-ODE级联系统的输出反馈镇定
Output feedback stabilization for a class of fractional-order parabolic PDE-ODE cascaded systems
摘要
Abstract
The output feedback stabilization for a class of fractional-order parabolic PDE-ODE cascaded systems is investigated.Quite different from the related literature,the PDE and ODE subsystems of the system under investigation are both fractional-order,where the PDE subsystem is n-dimensional(no longer one-dimensional as in the existing works),and partial states of ODE subsystem and one boundary informa-tion of the PDE subsystem are measurable.This expands the applicability of control methods,while resul-ting in the difficulties of control design and stability analysis.For this,by the infinite-dimensional backstep-ping method,a state observer is first constructed to estimate the unmeasurable states.Then,an output feedback controller is designed by applying the infinite-dimensional backstepping method to ensure that the closed-loop system is Mittag-Leffler stable in a certain norm sense.Finally,the effectiveness of the pro-posed method is illustrated through numerical simulation.关键词
分数阶PDE-ODE级联系统/镇定/输出反馈/无穷维反推方法Key words
fractional-order PDE-ODE cascaded systems/stabilization/output feedback/infinite-dimen-sional backstepping method分类
数理科学引用本文复制引用
李霞,张传佳,孔臣臣..一类分数阶抛物型PDE-ODE级联系统的输出反馈镇定[J].曲阜师范大学学报（自然科学版）,2026,52(1):19-33,15.基金项目
山东省自然科学基金(ZR2023QF115) （ZR2023QF115）
曲阜师范大学教改项目(SJG202335). （SJG202335）
