中国物理B ›› 2013, Vol. 22 ›› Issue (5): 50505-050505.doi: 10.1088/1674-1056/22/5/050505

• GENERAL • 上一篇    下一篇

A new identification control for generalized Julia sets

孙洁a b, 刘树堂a   

  1. a College of Control Science and Engineering, Shandong University, Jinan 250061, China;
    b School of Mechanical, Electrical and Information Engineering, Shandong University at Weihai, Weihai 264209, China
  • 收稿日期:2012-10-13 修回日期:2012-12-10 出版日期:2013-04-01 发布日期:2013-04-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61273088 and 11271194), the National Excellent Doctoral Dissertation of China (Grant No. 200444), and the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2010FM010 and ZR2011FQ035).

A new identification control for generalized Julia sets

Sun Jie (孙洁)a b, Liu Shu-Tang (刘树堂)a   

  1. a College of Control Science and Engineering, Shandong University, Jinan 250061, China;
    b School of Mechanical, Electrical and Information Engineering, Shandong University at Weihai, Weihai 264209, China
  • Received:2012-10-13 Revised:2012-12-10 Online:2013-04-01 Published:2013-04-01
  • Contact: Sun Jie E-mail:sunj@sdu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61273088 and 11271194), the National Excellent Doctoral Dissertation of China (Grant No. 200444), and the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2010FM010 and ZR2011FQ035).

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摘要： In this paper, we propose a new method to realize drive-response system synchronization control and parameter identification for a class of generalized Julia sets. By means of this method, the zero asymptotic sliding variables are applied to control the fractal identification. Furthermore, the problems of synchronization control are solved in the case of a drive system with unknown parameters, and the unknown parameters of the drive system can be identified in the asymptotic synchronization process. The results of simulation examples demonstrate the effectiveness of this new method. Particularly, the basic Julia set is also discussed.

关键词: Julia set, synchronization, parameter identification

Abstract: In this paper, we propose a new method to realize drive-response system synchronization control and parameter identification for a class of generalized Julia sets. By means of this method, the zero asymptotic sliding variables are applied to control the fractal identification. Furthermore, the problems of synchronization control are solved in the case of a drive system with unknown parameters, and the unknown parameters of the drive system can be identified in the asymptotic synchronization process. The results of simulation examples demonstrate the effectiveness of this new method. Particularly, the basic Julia set is also discussed.

Key words: Julia set, synchronization, parameter identification

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
47.53.+n (Fractals in fluid dynamics)