An Approach of Tracking Control for Chaotic Systems

Author:

Xing Jin12,Zhang Fangfang3

Affiliation:

1. College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266590, China

2. Department of Electromechanical Engineering, Binzhou University, Binzhou, Shandong 256600, China

3. School of Electrical Engineering and Automation, Qilu University of Technology, Jinan, Shandong 250353, China

Abstract

Combining the ergodicity of chaos and the Jacobian matrix, we design a general tracking controller for continuous and discrete chaotic systems. The control scheme has the ability to track a bounded reference signal. We prove its globally asymptotic stability and extend it to generalized projective synchronization. Numerical simulations verify the effectiveness of the proposed scheme.

Funder

Science and Technology Development Plan Project in Safe Production of Shandong Province

Publisher

Hindawi Limited

Subject

Electrical and Electronic Engineering,Computer Science Applications,Modeling and Simulation

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Dislocated hybrid synchronization via. tracking control & parameter estimation methods with application;International Journal of Modelling and Simulation;2020-07-07

2. Combination Control of Chaotic Systems;International Journal of Applied and Computational Mathematics;2020-03-12

3. Tracking Control of Chaotic Systems via Optimized Active Disturbance Rejection Control;Mathematical Problems in Engineering;2018-09-19

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