Abstract
In this letter, we suggest regional stabilization of the semilinear 1D KSE under nonlocal or boundary actuation. We employ modal decomposition and derive regional H^{1} stability conditions for the closed-loop system. Given a decay rate that defines the number of state modes in the controller, we provide LMIs for finding the the controller gain as well as a bound on the domain of attraction. In the case of boundary control, we suggest a dynamic extension with a novel internally stable dynamics. The latter allows to enlarge a bound on the domain of attraction. Numerical examples illustrate the efficiency of the method.
| Original language | English |
|---|---|
| Pages (from-to) | 1814-1819 |
| Number of pages | 6 |
| Journal | IEEE Control Systems Letters |
| Volume | 6 |
| DOIs | |
| State | Published - 2022 |
Keywords
- Distributed parameter systems
- boundary control
- nonlinear parabolic PDEs
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Control and Optimization
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