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Abstract
In this study, the predefined time synchronization problem of a class of uncertain chaotic systems with unknown control gain function is considered. Based on the fuzzy logic system and varying-time terminal sliding mode control technology, the predefined time synchronization between the master system and the slave system can be realized by the proposed control method in this study. The simulation results confirm the theoretical analysis.
Highlights
In recent decades, chaotic synchronization has been a research hotspot. e main reason is its wide application, such as in the fields of secure communication, biological systems, and so on [1–6]
Among them, sliding mode control is deeply concerned by scholars because of its simple control principle and good robustness
Remark 1. ξ2(0) η2(0) in Assumption 1 is to ensure that the initial value of error system (3) belongs to the sliding mode, which will be designed later
Summary
Chaotic synchronization has been a research hotspot. e main reason is its wide application, such as in the fields of secure communication, biological systems, and so on [1–6]. To realize the state transient performance of the controlled system, many terminal sliding mode control methods were proposed. A terminal sliding mode control method was employed in [22] and the synchronization of coronary artery system was realized. For fractional-order chaotic systems, [23] proposed a fractional-order terminal sliding mode control method, which synchronized two uncertain fractionalorder systems. In order to solve the above problems, a varying-time terminal sliding mode control method will be used to realize the predefined time synchronization of two uncertain chaotic systems. E main highlights are as follows: the synchronization of two uncertain chaotic systems is realized by the varying-time sliding mode control method, and the case where the controller gain is unknown is considered.
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