Boundary output feedback stabilization for spacial multi‐dimensional coupled fractional reaction–diffusion systems

This paper studies the boundary feedback stabilization for spacial multi‐dimensional coupled fractional reaction–diffusion systems with non‐collocated or collocated outputs in the case that the system state is unmeasurable. By employing the backstepping method, we introduce a target system and analy...

Full description

Saved in:
Bibliographic Details
Published in:Asian journal of control 2022-09, Vol.24 (5), p.2751-2760
Main Authors: Cai, Rui‐Yang, Zhou, Hua‐Cheng, Fan, Xue‐Ru, Kou, Chun‐Hai
Format: Article
Language:English
Subjects:
backstepping method
Control systems design
Diffusion
Feedback control
Mittag–Leffler stabilization
multi‐dimensional coupled reaction–diffusion systems
Output feedback
Stability analysis
State feedback
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper studies the boundary feedback stabilization for spacial multi‐dimensional coupled fractional reaction–diffusion systems with non‐collocated or collocated outputs in the case that the system state is unmeasurable. By employing the backstepping method, we introduce a target system and analyze its Mittag–Leffler stability. For each pair of sides of the region boundary, assuming that system state is hinged on one side, while the controller is designed on the opposite side. These boundary controllers work together to achieve the state feedback Mittag–Leffler stabilization of the considered system. In addition, for both kinds of outputs, feedback controllers are also established to achieve the asymptotical stability of the corresponding closed‐loop system. Two numerical experiments are carried out to illustrate our results.
ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.2636