1. Output feedback finite‐time boundary control for an unstable heat PDE with spatially varying coefficients.
- Author
-
Ghaderi, Najmeh and Mojallali, Hamed
- Subjects
DISTRIBUTED parameter systems ,PARTIAL differential equations ,DISPLACEMENT (Mechanics) ,HEAT equation ,HEATING - Abstract
This article studies the output feedback finite‐time boundary control for unstable heat systems with the spatially varying coefficient. First, a finite‐time observer with switched gains under a state‐dependent switching law is designed in order to estimate the states of the system in a finite‐time only exerting one displacement boundary measurement. Next, an observer‐based linear finite‐time control is planned. Namely, a linear switched control under a state‐dependent switching law is proposed to vanish every solution of an unstable heat partial differential equation with spatially varying coefficients in a finite time. We also present explicit forms for the proposed observer gains and output feedback finite‐time controller. Finally, some numerical simulations are provided to confirm the theoretical results. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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