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Exponential input-to-state stabilization of a class of diagonal boundary control systems with delay boundary control
- Source :
- Systems & Control Letters, Volume 138, April 2020, 104651
- Publication Year :
- 2020
-
Abstract
- This paper deals with the exponential input-to-state stabilization with respect to boundary disturbances of a class of diagonal infinite-dimensional systems via delay boundary control. The considered input delays are uncertain and time-varying. The proposed control strategy consists of a constant-delay predictor feedback controller designed on a truncated finite-dimensional model capturing the unstable modes of the original infinite-dimensional system. We show that the resulting closed-loop system is exponentially input-to-state stable with fading memory of both additive boundary input perturbations and disturbances in the computation of the predictor feedback.<br />Comment: Published in Systems & Control Letters
Details
- Database :
- arXiv
- Journal :
- Systems & Control Letters, Volume 138, April 2020, 104651
- Publication Type :
- Report
- Accession number :
- edsarx.2003.05711
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.sysconle.2020.104651