Open Accessℋ ∞ control for asynchronously switched linear parameter‐varying systems with mode‐dependent average dwell time
Author(s) -
Lu Qiugang,
Zhang Lixian,
Karimi Hamid Reza,
Shi Yang
Publication year - 2013
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.2012.0569
Subject(s) - dwell time , asynchronous communication , control theory (sociology) , linear system , discrete time and continuous time , stability (learning theory) , class (philosophy) , mathematics , mode (computer interface) , computer science , control (management) , medicine , clinical psychology , computer network , mathematical analysis , statistics , artificial intelligence , machine learning , operating system
This study is concerned with the stability, l 2 ‐gain analysis and ℋ ∞ control for a class of discrete‐time switched linear parameter‐varying systems with both mode‐dependent average dwell time (MDADT) and asynchronous switching, where ‘asynchronous’ means the switching of controllers has a lag to the switching of system modes. The l 2 ‐gain for general switched systems with MDADT in non‐linear setting is firstly derived. Based on the obtained results, the problem of asynchronous ℋ ∞ control for the studied systems is formulated under the framework of MDADT switching logic, and the conditions for the existence of admissible asynchronous ℋ ∞ controllers are deduced in the form of parameterised linear matrix inequalities. A numerical example is provided to verify the effectiveness of the acquired results.