NEW IDENTIFICATION AND CONTROL METHODS OF SINE-FUNCTION JULIA SETS

Jie Sun; Wei Qiao; Shutang Liu

doi:10.11948/2015020

2015 Volume 5 Issue 2

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Jie Sun, Wei Qiao, Shutang Liu. NEW IDENTIFICATION AND CONTROL METHODS OF SINE-FUNCTION JULIA SETS[J]. Journal of Applied Analysis & Computation, 2015, 5(2): 220-231. doi: 10.11948/2015020

Citation:

Jie Sun, Wei Qiao, Shutang Liu. NEW IDENTIFICATION AND CONTROL METHODS OF SINE-FUNCTION JULIA SETS[J]. Journal of Applied Analysis & Computation, 2015, 5(2): 220-231. doi: 10.11948/2015020

NEW IDENTIFICATION AND CONTROL METHODS OF SINE-FUNCTION JULIA SETS

1 School of Computer Science and Technology, Shandong University, Jinan, 250101, P. R. China;
2 School of Mechanical, Electrical and Information Engineering, Shandong University at Weihai, Weihai, 264209, P. R. China;
3 College of Control Science and Engineering, Shandong University, Jinan, 250061, P. R. China

Fund Project:

Abstract

Abstract

In this paper, we propose two new methods to realize driveresponse system synchronization control and parameter identification for two kinds of sine-function Julia sets. By means of these two methods, the zero asymptotic sliding variables and the stability theory in difference equations are applied to control the fractal identification. Furthermore, the problem of synchronization control is solved in the case of a drive system with unknown parameters, where the unknown parameters of the drive system can be identified in the asymptotic synchronization process. The results of simulation examples demonstrate the effectiveness of the new methods.
- Julia set /
- synchronization /
- parameter identification
MSC: 34H05;93C28

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References

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