Fixed time control and synchronization of a class of uncertain chaotic systems with disturbances via passive control method
Haipeng Su,
Runzi Luo,
Jiaojiao Fu and
Meichun Huang
Mathematics and Computers in Simulation (MATCOM), 2022, vol. 198, issue C, 474-493
Abstract:
This paper concerns with the fixed time control and synchronization of a class of uncertain chaotic systems by way of the passive control. Firstly, in the light of passivity theory and fixed time stability, some effective robust passive controllers are designed to force the system trajectories to the origin in a specified time. Secondly, a valid synchronization strategy is proposed to realize the global fixed time chaos synchronization by using the passive control. In our control strategy, the chaotic system can be regarded as a passive system under the given controllers, and the convergence time of the controlled system can be predefined in spite of initial values. Finally, the validity of control and synchronization schemes are confirmed by the numerical examples.
Keywords: Fixed time stability; Passive control; Chaos control and synchronization (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:198:y:2022:i:c:p:474-493
DOI: 10.1016/j.matcom.2022.03.010
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