Approximate design of optimal disturbance rejection for discrete-time systems with multiple delayed inputs: application to a jacket-type offshore structure
type: Item
instance of: scholarly article
title: Approximate design of optimal disturbance rejection for discrete-time systems with multiple delayed inputs: application to a jacket-type offshore structure
zbMATH Open document ID: 1394.93190
DOI: 10.1155/2015/474528
author: Y. Aharonov
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: The study is concerned with problem of optimal disturbance rejection for a class of discrete-time systems with multiple delayed inputs. In order to avoid the two-point boundary value (TPBV) problem with items of time-delay and time-advance caused by multiple delayed inputs, the discrete-time system with multiple delayed inputs is transformed into a delay-free system by introducing a variable transformation, and the original performance index is reformulated as a corresponding form without the explicit appearance of time-delay items. Then, the approximate optimal disturbance rejection controller (AODRC) is derived from Riccati equation and Stein equation based on the reduced system and reformulated performance index, which is combined with feedback item of system state, feedforward item of disturbances, and items of delayed inputs. Also, the existence and uniqueness of AODRC are proved, and the stability of the closed-loop system is analysed. Finally, numerical examples of disturbance rejection for jacket-type offshore structure and pure mathematical model are illustrated to validate the feasibility and effectiveness of the proposed approach.
Mathematics Subject Classification ID: 93C73
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 6926436
Wikidata QID: Q59118682
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/474528
OpenAlex ID: W1530066540
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description: scientific article; zbMATH DE number 6926436