Open AccessDelayed output feedback of discrete‐time time‐delay systems with applications to spacecraft rendezvous
Author(s) -
Xu Chuanchuan,
Zhou Bin,
Duan GuangRen
Publication year - 2018
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2017.0853
Subject(s) - control theory (sociology) , computer science , discrete time and continuous time , rendezvous , spacecraft , controller (irrigation) , bounded function , stability theory , control (management) , mathematics , engineering , nonlinear system , mathematical analysis , agronomy , statistics , artificial intelligence , biology , aerospace engineering , physics , quantum mechanics
This work studies the delayed output feedback (DOF) of discrete‐time systems with input and output delays that are arbitrarily large, bounded, and exactly known. The significance of the DOF is that only the present and delayed inputs and outputs are used for feedback. For systems with a single input delay and multiple output delays, the idea of state prediction is utilised to construct the DOF controller. While for systems with multiple input and output delays, the DOF controller is designed by firstly reducing the original system to a delay‐free one. It is shown in both cases that the closed‐loop systems controlled by DOF are asymptotically stable and act like delay‐free systems with the same dimensions as open‐loop systems. Compared with the continuous‐time case, the DOF controllers for discrete‐time systems do not contain distributed delay terms and the implementation problems can be avoided. The DOF is used to stabilise the spacecraft rendezvous system with input and output delays and simulations show the effectiveness of the proposed approach.