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;2015 DOI 10.1155/2015/474528

 

Journal Homepage

Journal Title: Mathematical Problems in Engineering

ISSN: 1024-123X (Print); 1563-5147 (Online)

Publisher: Hindawi Limited

LCC Subject Category: Technology: Engineering (General). Civil engineering (General) | Science: Mathematics

Country of publisher: United Kingdom

Language of fulltext: English

Full-text formats available: PDF, HTML, ePUB, XML

 

AUTHORS

Shi-Yuan Han (Shandong Provincial Key Laboratory of Network Based Intelligent Computing, University of Jinan, 336 Nanxinzhuang Road, Jinan 250022, China)
Dong Wang (Shandong Provincial Key Laboratory of Network Based Intelligent Computing, University of Jinan, 336 Nanxinzhuang Road, Jinan 250022, China)
Yue-Hui Chen (Shandong Provincial Key Laboratory of Network Based Intelligent Computing, University of Jinan, 336 Nanxinzhuang Road, Jinan 250022, China)
Gong-You Tang (College of Information Science and Engineering, Ocean University of China, 238 Songling Road, Qingdao 266100, China)
Xi-Xin Yang (College of Software Technical, Qingdao University, Qingdao 266100, China)

EDITORIAL INFORMATION

Blind peer review

Editorial Board

Instructions for authors

Time From Submission to Publication: 26 weeks

 

Abstract | Full Text

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.