Synthesis and L2‐gain analysis for switched systems under event‐triggered switching

In this paper, we solve the stabilization problem of linear switched systems subject to external disturbances via an event‐based state‐dependent switching strategy. The proposed event‐triggered switching rule can relax the conditions which guarantee the stability of switched systems so as to attain...

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Bibliographic Details
Published in:Asian journal of control 2022-05, Vol.24 (3), p.1247-1260
Main Authors: Li, Dandan, Zuo, Zhiqiang, Fu, Minyue, Wang, Yijing
Format: Article
Language:English
Subjects:
Disturbances
Event‐triggering scheme
L2 analysis
L2 gain
State‐dependent switching
Switching
Zeno behavior
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Summary:In this paper, we solve the stabilization problem of linear switched systems subject to external disturbances via an event‐based state‐dependent switching strategy. The proposed event‐triggered switching rule can relax the conditions which guarantee the stability of switched systems so as to attain more feasible solutions than the previous work. As a result, a better bound of L2 gain performance of the system is obtained over the set of admissible disturbances. The elimination of Zeno behavior for state‐dependent switched system is also proven. Finally, numerical simulations illustrate the validity of the proposed theoretical results.
ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.2511