H<sub>&#x221E;</sub> Dynamic Output Feedback Control for Asynchronously Switched Systems: Dwell Time Dependent Control Method

This study focuses on the dynamic output feedback control for asynchronously switched systems with a dwell time dependent control scheme. By combining asynchronous switching with mode-dependent hybrid dwell time switching signal, a novel asynchronously control strategy is proposed, and the controlle...

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Bibliographic Details
Main Authors: Fugui Deng, Haoxu Wang, Jiandong Guo, Boyu Wang, Yongqing Fu, Weizhong Chen
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
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Online Access:https://ieeexplore.ieee.org/document/11025540/
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Summary:This study focuses on the dynamic output feedback control for asynchronously switched systems with a dwell time dependent control scheme. By combining asynchronous switching with mode-dependent hybrid dwell time switching signal, a novel asynchronously control strategy is proposed, and the controller gain can be dynamically adjusted according to the controller-running interval and switching signal, which reduces the conservatism of the existing results. Firstly, grounded in the constructed Lyapunov function, a stability and <inline-formula> <tex-math notation="LaTeX">$\mathcal {L}_{2}$ </tex-math></inline-formula>-gain criterion is presented for the considered system. Then, an arrangement of mode-dependent dynamic output feedback controllers and switching signal are jointly designed to ensure the global uniform exponential stability of switched systems with <inline-formula> <tex-math notation="LaTeX">${\mathcal {H}}_{\infty } $ </tex-math></inline-formula> performance. At the conclusion, a simulation example is provided to demonstrate the strengths and practicality of the proposed method.
ISSN:2169-3536