We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Prescribed-time stabilization of uncertain heat equation with Dirichlet boundary control.
- Authors
Wei, Chengzhou; Li, Junmin
- Abstract
This paper designs a Dirichlet boundary controller to stabilize a heat equation with boundary disturbance within a prescribed finite time independent of initial conditions. We first use boundary measurements and time-varying gain to construct a disturbance estimator that estimates the disturbance itself and the system state within a prescribed time. We then design the estimation-based prescribed time boundary controller by the backstepping transformation with a time-varying kernel. The control gain proposed here diverges as the time approaches the prescribed time. Nevertheless, we can demonstrate the controller's boundedness and the system's prescribed time stability. A simulation example illustrates the theoretical result.
- Subjects
HEAT equation; STOKES equations; MATRIX inequalities
- Publication
IMA Journal of Mathematical Control & Information, 2023, Vol 40, Issue 3, p445
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnad017