Name
Title | ||
|---|---|---|
Integral action for setpoint regulation control of a reaction–diffusion equation in the presence of a state delay |
Abstract | ||
|---|---|---|
This paper is concerned with the regulation control of a one-dimensional reaction–diffusion equation in the presence of a state-delay in the reaction term. The objective is to achieve the PI regulation of the right Dirichlet trace with a command selected as the left Dirichlet trace. The control design strategy consists of the design of a PI controller on a finite dimensional truncated model obtained by spectral reduction. By an adequate selection of the number of modes of the original infinite-dimensional system, we show that the proposed control design procedure achieves both the exponential stabilization of the original infinite-dimensional system as well as the setpoint regulation of the right Dirichlet trace. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1016/j.automatica.2021.109935 | Automatica |
Keywords | DocType | Volume |
PI regulation,Reaction–diffusion equation,State-delay,Partial differential equation,Input-to-state stability | Journal | 134 |
Issue | ISSN | Citations |
1 | 0005-1098 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lhachemi, H. | 1 | 22 | 8.90 |
| Ammar Malik | 2 | 0 | 0.34 |
| Robert Shorten | 3 | 293 | 60.79 |