Open AccessObserver‐based H ∞ stabilisation for linear systems with large delay periods
Author(s) -
Du ShengLi,
Wang Rui,
Wang Shuo,
Yu Mei
Publication year - 2016
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.2015.0308
Subject(s) - control theory (sociology) , observer (physics) , controller (irrigation) , linear system , computer science , mathematics , control (management) , mathematical analysis , physics , quantum mechanics , artificial intelligence , agronomy , biology
This study is concerned with the observer‐based H ∞ stabilisation problem for a class of linear systems with large delay periods (LDPs). Based on the switching technique, the system with LDPs is modelled into a switched delay system which consists of two subsystems. The controller and observer gains are solved under the small delay case. Sufficient conditions are derived to ensure the system is not only exponentially stable, but also possesses an H ∞ performance index. The effectiveness of the proposed method is validated by the simulation of a load frequency control system.