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Control Law Realification for the Feedback Stabilization of a Class of Diagonal Infinite-Dimensional Systems With Delay Boundary Control
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| Title: | Control Law Realification for the Feedback Stabilization of a Class of Diagonal Infinite-Dimensional Systems With Delay Boundary Control | Authors: | Lhachemi, Hugo; Shorten, Robert; Prieur, Christophe | Permanent link: | http://hdl.handle.net/10197/12743 | Date: | Oct-2019 | Online since: | 2022-01-18T16:47:13Z | Abstract: | Recently, a predictor feedback control strategy has been reported for the feedback stabilization of a class of infinite-dimensional Riesz-spectral boundary control systems exhibiting a finite number of unstable modes by means of a delay boundary control. Nevertheless, for real abstract boundary control systems exhibiting eigenstructures defined over the complex field, the direct application of such a control strategy requires the embedding of the control problem into a complexified state-space which yields a complex-valued control law. This letter discusses the realification of the control law, i.e., the modification of the design procedure for obtaining a real-valued control law for the original real abstract boundary control system. The obtained results are applied to the feedback stabilization of an unstable Euler-Bernoulli beam by means of a delay boundary control. | Funding Details: | Science Foundation Ireland | Type of material: | Journal Article | Publisher: | IEEE | Journal: | IEEE Control Systems Letters | Volume: | 3 | Issue: | 4 | Start page: | 930 | End page: | 935 | Copyright (published version): | 2019 IEEE | Keywords: | Distributed parameter systems; Euler-Bernoulli beam; Boundary feedback stabilization; Predictor feedback | DOI: | 10.1109/LCSYS.2019.2919309 | Language: | en | Status of Item: | Peer reviewed | This item is made available under a Creative Commons License: | https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ |
| Appears in Collections: | Electrical and Electronic Engineering Research Collection I-Form Research Collection |
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