Bibliographic Details
| Title: |
Robust Boundary Output-Feedback Control of a Reaction-Diffusion Equation with In-Domain Disturbances. |
| Authors: |
Ferrante, Francesco1 (AUTHOR) francesco.ferrante@unipg.it, Shreim, Suha2 (AUTHOR), Prieur, Christophe2 (AUTHOR) christophe.prieur@gipsa-lab.fr |
| Source: |
Journal of Optimization Theory & Applications. Aug2025, Vol. 206 Issue 2, p1-32. 32p. |
| Abstract: |
Output feedback control design for a class of reaction-diffusion equations with Dirichlet anti-collocated sensing and actuation subject to in-domain disturbances is addressed. Within this setting, we design a finite-dimensional dynamic output feedback controller ensuring closed-loop exponential stability and input-output stability with an explicit estimate of the input-output gain. The approach is based on the spectral decomposition of the open-loop infinite-dimensional system and on the use of a suitable Lyapunov functional candidate. Sufficient conditions in the form of matrix inequalities are given to ensure closed-loop stability. These conditions are shown to be always feasible and are employed to devise an optimal controller design algorithm based on the solutions to some linear matrix inequalities. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
