Approximate Design of Optimal Disturbance Rejection for Discrete-Time Systems with Multiple Delayed Inputs: Application to a Jacket-Type Offshore Structure
Joint Authors
Han, Shi-Yuan
Wang, Dong
Chen, Yue-Hui
Tang, Gong-You
Yang, Xi-Xin
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-22
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Han, Shi-Yuan& Wang, Dong& Chen, Yue-Hui& Tang, Gong-You& Yang, Xi-Xin. 2015. Approximate Design of Optimal Disturbance Rejection for Discrete-Time Systems with Multiple Delayed Inputs: Application to a Jacket-Type Offshore Structure. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073918
Modern Language Association (MLA)
Han, Shi-Yuan…[et al.]. Approximate Design of Optimal Disturbance Rejection for Discrete-Time Systems with Multiple Delayed Inputs: Application to a Jacket-Type Offshore Structure. Mathematical Problems in Engineering No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1073918
American Medical Association (AMA)
Han, Shi-Yuan& Wang, Dong& Chen, Yue-Hui& Tang, Gong-You& Yang, Xi-Xin. Approximate Design of Optimal Disturbance Rejection for Discrete-Time Systems with Multiple Delayed Inputs: Application to a Jacket-Type Offshore Structure. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073918
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073918