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Integral action for setpoint regulation control of a reaction-diffusion equation in the presence of a state delay
- Publication Year :
- 2021
-
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.<br />Comment: Accepted for publication in Automatica
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2108.10658
- Document Type :
- Working Paper