Open AccessRobust passivity, feedback passification and global robust stabilisation for switched non‐linear systems with structural uncertainty
Author(s) -
Pang Hongbo,
Zhao Jun
Publication year - 2015
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.2014.1273
Subject(s) - passivity , control theory (sociology) , robust control , computer science , state (computer science) , linear system , robustness (evolution) , control engineering , mathematics , control system , control (management) , engineering , algorithm , artificial intelligence , mathematical analysis , biochemistry , chemistry , electrical engineering , gene
This study examines the issues of robust passivity, feedback passification and global stabilisation for a class of switched non‐linear system with structural uncertainty. First, a sufficient condition for such a system to be robust passive is given by the design of a state‐dependent switching law. Second, a state‐dependent switching law and state feedback controllers are designed to render the resulting closed‐loop system robust passive. Finally, a recursive feedback passification design technique is developed to achieve the global stabilisation problem when the subsystems have any uniform vector relative degree. A numerical example is presented to illustrate the effectiveness of the proposed approach.