On Boundary Finite-Time Feedback Control for Heat Equation

Andrey Polyakov (1) , Jean-Michel Coron (2) , Lionel Rosier (3)

1 NON-A - Non-Asymptotic estimation for online systems
2 LJLL - Laboratoire Jacques-Louis Lions
3 CAS - Centre Automatique et Systèmes

The paper deals with boundary finite-time control for heat system. A linear switching control with state dependent switchings is designed based on backstepping procedure. It steers any solution of the heat system to zero in a finite time. The theoretical results are supported by numerical simulations.

Domaines: Automatique

Andrey Polyakov, Jean-Michel Coron, Lionel Rosier. On Boundary Finite-Time Feedback Control for Heat Equation. 20th IFAC World Congress, IFAC, Jul 2017, Toulouse, France. ⟨hal-01505482⟩