Open AccessRobust stability analysis for feedback systems with simultaneous uncertainties via IQCs
Author(s) -
Liu Liu
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.2019.0303
Subject(s) - control theory (sociology) , stability (learning theory) , quadratic equation , robustness (evolution) , linear system , robust control , bounded function , graph , mathematics , path (computing) , computer science , control system , engineering , control (management) , mathematical analysis , biochemistry , chemistry , geometry , machine learning , artificial intelligence , electrical engineering , gene , programming language , discrete mathematics
The robust stability of feedback interconnections is studied for a class of continuous‐time causal linear systems over finite‐energy signals of non‐uniformly lower‐bounded support. The stability of the feedback system with simultaneous uncertainties in the plant and the controller is exploited via integral quadratic constraints (IQCs), in which the plants and controllers are taken from two path‐connected uncertainty sets with respect to the Feintuch's time‐varying gap metric. Subsequently, the robust stability of the two‐port networked system is characterised by means of the combination of IQCs and the time‐varying gap. In particular, some robust stability criteria are applicable to the linear systems that do not have strong graph representations.