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- Title
H<sub>∞</sub> control for asynchronously switched linear parameter-varying systems with mode-dependent average dwell time.
- Authors
Qiugang Lu; Lixian Zhang; Karimi, Hamid Reza; Yang Shi
- Abstract
This study is concerned with the stability, l2-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 l2-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.
- Subjects
DISCRETE-time systems; DIGITAL control systems; LOGIC; LINEAR matrix inequalities; MATHEMATICAL inequalities
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2013, Vol 7, Issue 5, p673
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2012.0569