Open AccessInterval observer design method for asynchronous switched systems
Author(s) -
Huang Jun,
Ma Xiang,
Zhao Xudong,
Che Haochi,
Chen Liang
Publication year - 2020
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.2019.0750
Subject(s) - observer (physics) , control theory (sociology) , asynchronous communication , interval (graph theory) , state observer , computer science , mathematics , nonlinear system , artificial intelligence , control (management) , telecommunications , physics , quantum mechanics , combinatorics
When designing interval observers for switched systems, for simplicity, it is always assumed that the switching signal of interval observers is synchronised with one of subsystems. However, in fact, they are asynchronous in most cases. In this study, the interval observer design problem for discrete‐time switched systems with asynchronous switching law is investigated. At first, a robust observer is designed based on the H ∞observer theory. Then, in order to reduce the conservatism of design conditions and improve the performance of the interval observer, the zonotope method is applied to estimate the bounds of system state. Finally, two examples are provided to highlight the efficiency of the proposed method.