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- Title
ℋ<sub>∞</sub> control for asynchronously switched linear parameter‐varying systems with mode‐dependent average dwell time.
- Authors
Lu, Qiugang; Zhang, Lixian; Karimi, Hamid Reza; Shi, Yang
- 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.
- 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