Switching control of semilinear vector reaction-convection-diffusion PDE

Wen Kang, Emilia Fridman, Chuan Xin Liu

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


This work addresses the stabilization problem for a parabolic system governed by semilinear vector reaction-convection-diffusion equation. We suggest a sampled-data switching control design to stabilize the parabolic system under spatially scheduled actuators. The implementation of controller is either by using one moving actuator that can move to the active subdomain in the negligible time or by N actuators placed in each subdomain. Via Lyapunov-Krasovskii approach, sufficient exponential stability conditions are established in the framework of linear matrix inequalities (LMIs). Simulation example is given to demonstrate the effectiveness of the proposed method.

Original languageEnglish
Title of host publication2022 American Control Conference, ACC 2022
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9781665451963
StatePublished - 2022
Event2022 American Control Conference, ACC 2022 - Atlanta, United States
Duration: 8 Jun 202210 Jun 2022

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Conference2022 American Control Conference, ACC 2022
Country/TerritoryUnited States


FundersFunder number
Beijing Science Foundation for the Excellent Youth Scholars2018000020124G067
National Natural Science Foundation of China61803026
Israel Science Foundation673/19
Fundamental Research Funds for the Central UniversitiesQNXM20210034
Beijing Institute of Technology Research Fund Program for Young Scholars


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