Anticollocated Backstepping Observer Design for a Class of Coupled Reaction-Diffusion PDEs
The state observation problem is tackled for a system of n coupled reaction-diffusion PDEs, possessing the same diffusivity parameter and equipped with boundary sensing devices. Particularly, a backstepping-based observer is designed and the exponential stability of the error system is proven with a...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2015/164274 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561619825065984 |
|---|---|
| author | Antonello Baccoli Alessandro Pisano |
| author_facet | Antonello Baccoli Alessandro Pisano |
| author_sort | Antonello Baccoli |
| collection | DOAJ |
| description | The state observation problem is tackled for a system of n coupled reaction-diffusion PDEs, possessing the same diffusivity parameter and equipped with boundary sensing devices. Particularly, a backstepping-based observer is designed and the exponential stability of the error system is proven with an arbitrarily fast convergence rate. The transformation kernel matrix is derived in the explicit form by using the method of successive approximations, thereby yielding the observer gains in the explicit form, too. Simulation results support the effectiveness of the suggested design. |
| format | Article |
| id | doaj-art-211c4ed7751b4206a1e777e6004aabbe |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-211c4ed7751b4206a1e777e6004aabbe2025-02-03T01:24:35ZengWileyJournal of Control Science and Engineering1687-52491687-52572015-01-01201510.1155/2015/164274164274Anticollocated Backstepping Observer Design for a Class of Coupled Reaction-Diffusion PDEsAntonello Baccoli0Alessandro Pisano1Department of Electrical and Electronic Engineering, University of Cagliari, 09123 Cagliari, ItalyDepartment of Electrical and Electronic Engineering, University of Cagliari, 09123 Cagliari, ItalyThe state observation problem is tackled for a system of n coupled reaction-diffusion PDEs, possessing the same diffusivity parameter and equipped with boundary sensing devices. Particularly, a backstepping-based observer is designed and the exponential stability of the error system is proven with an arbitrarily fast convergence rate. The transformation kernel matrix is derived in the explicit form by using the method of successive approximations, thereby yielding the observer gains in the explicit form, too. Simulation results support the effectiveness of the suggested design.http://dx.doi.org/10.1155/2015/164274 |
| spellingShingle | Antonello Baccoli Alessandro Pisano Anticollocated Backstepping Observer Design for a Class of Coupled Reaction-Diffusion PDEs Journal of Control Science and Engineering |
| title | Anticollocated Backstepping Observer Design for a Class of Coupled Reaction-Diffusion PDEs |
| title_full | Anticollocated Backstepping Observer Design for a Class of Coupled Reaction-Diffusion PDEs |
| title_fullStr | Anticollocated Backstepping Observer Design for a Class of Coupled Reaction-Diffusion PDEs |
| title_full_unstemmed | Anticollocated Backstepping Observer Design for a Class of Coupled Reaction-Diffusion PDEs |
| title_short | Anticollocated Backstepping Observer Design for a Class of Coupled Reaction-Diffusion PDEs |
| title_sort | anticollocated backstepping observer design for a class of coupled reaction diffusion pdes |
| url | http://dx.doi.org/10.1155/2015/164274 |
| work_keys_str_mv | AT antonellobaccoli anticollocatedbacksteppingobserverdesignforaclassofcoupledreactiondiffusionpdes AT alessandropisano anticollocatedbacksteppingobserverdesignforaclassofcoupledreactiondiffusionpdes |