کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4630106 | 1340593 | 2012 | 8 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Adaptive synchronization of single-degree-of-freedom oscillators with unknown parameters Adaptive synchronization of single-degree-of-freedom oscillators with unknown parameters](/preview/png/4630106.png)
In this paper, an adaptive control scheme is proposed for the synchronization of two single-degree-of-freedom oscillators with unknown parameters. We only assume that the master system has the bounded solutions, which is generally satisfied for chaotic systems. Unlike the existing literature, the boundedness of the states of the slave system with control input is not necessarily known in advance. The boundedness of the controlled states is rigorously proved. The unknown parameters not only in the slave system but also in the master system are estimated by designing adaptive laws. By choosing appropriate Lyapunov function and employing Barbalat’s lemma, it is theoretically shown that the synchronization errors can converge to zero asymptotically. Finally, two illustrative examples are provided to demonstrate the effectiveness of the proposed adaptive control design.
Journal: Applied Mathematics and Computation - Volume 218, Issue 12, 15 February 2012, Pages 6833–6840